text: If the numerator and the denominator both are either positive integers or negative integers, then the rational number is positive. The set of all rational numbers, often referred to as "the rationals" , the field of rationals or the field of rational numbers is usually denoted by a boldface Q (or blackboard bold $${\displaystyle \mathbb {Q} }$$, Unicode /ℚ); it was thus denoted in 1895 by Giuseppe Peano after quoziente, Italian for "quotient". Solution: Our notes of Chapter 1 Rational numbers are prepared by Maths experts in an easy to remember format, covering all syllabus of CBSE, KVPY, NTSE, Olympiads, NCERT & other Competitive Exams. The venn diagram below shows examples of all the different types of rational, irrational numbers including integers, whole numbers, repeating decimals and more. Solution: Let the required rational number be x. The integers which are in the form of p/q where q is not equal to 0 are known as Rational Numbers. It is in the form of and q ≠ 0. Yes, it is a rational number. Copyright © 2021 Applect Learning Systems Pvt. Every integer is a rational number: for example, 5 = 5/1. we get, 14 x 15 = 210. and 12 x 21 = 252. A number that can be made by dividing two integers (an integer is a number with no fractional part). Advantages Of CBSE NCERT Class 8 Rational Numbers Worksheets . You can also register Online for Class 7 Science tuition on Vedantu.com to score more marks in CBSE board examination. It is something related to the ratios. “Any number which can be expressed in the form , where p and q are integers and, is called a rational number.” For example, is a rational number in which the numerator is 15 and the denominator is 19. Examples of Rational Numbers. (i) Absolute value = -12171=12171 What Is A Rational Number? Definition of Rational Numbers The integers which are in the form of p/q where q ≠ 0 are known as Rational Numbers. Understand the impact of properties of operations on rational numbers. Get Revision notes of Class 8th Mathematics Chapter 1 Rational numbers to score good marks in your Exams. NCERT CBSE Class 7 Maths Rational Numbers Solutions provide detailed explanations to the Class 7 Maths Chapter 9 exercises. (ii) 1219 Solution: Question 10. The examples of rational numbers are 6/5, 10/7, and so on. On Cross Multiplying the given Rational numbers. Thus, rational numbers can be defined as follows. In this article, we’ll discuss the rational number definition, give rational numbers examples, and offer some tips and tricks for understanding if a number is rational or irrational. c) Daily Practice Sheets will help to develop a regular schedule of studies . Conventions used for writing a rational number: We know that in a rational number, the numerator and denominator both can be positive or negative. A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and. On solving equations like 3x + 5 = 0, we get the solution as x = -5/3. The absolute value of a rational number is its numerical value regardless of its sign. If the product of two rational numbers is $$\frac { -9 }{ 16 }$$ and one of them is $$\frac { -4 }{ 15 }$$, find the other number. Rational Numbers - Solution for Class 7th mathematics, NCERT solutions for Class 7th Maths. A rational number which has either the numerator negative or the denominator negative is called the negative rational number. Class 8 Maths Rational Numbers: Closure Properties: Properties of the types of numbers - Closure . So, 14/21 ≠ 12/15. A rational number is defined as a number that can be expressed in the form $$\frac{p}{q}$$, where p and q are integers and q≠0. The solution -5/3 is … Example 3. Get Textbook solutions for maths from evidyarthi.in You have studied fractional numbers in your earlier classes. These numbers are also known as rational numbers. Let us now write the given numbers according to the convention. Our Solutions contain all type Questions with Exe-1 A, Exe-1 B, Exe-1 … Thus, we can say that every integer is a rational number. Rational number 1 is the multiplicative identity for all rational numbers because on multiplying a rational number with 1, its value does not change. A set of numbers is said to be closed for a specific mathematical operation if the result obtained when an operation is performed on any two numbers in the set, is itself a member of the set. According to convention, the given number should be written as . Conventionally, rational numbers are written with positive denominators. On solving equations like 3x + 5 = 0, we get the solution as x = -5/3. Any rational number can be called as the positive rational number if both the numerator and denominator have like signs. NCERT CBSE Class 7 Maths Rational Numbers Solutions provide detailed explanations to the, Chapter 9 exercises. Some examples of fractional numbers are. Also, understand how to represent rational numbers on a number line with the support of our ICSE Class 8 Maths learning materials. The numerator and the denominator of a rational number will be integers. Write each of the following rational numbers according to the convention. The examples of rational numbers will be 1/4, 2/7, - 3/10, 34/7, etc. Sorry!, This page is not available for now to bookmark. They meet the requirements of students to make their basics strong in the subject. Examples: p q p / q = 1: 1: 1/1: 1: 1: 2: 1/2: 0.5: 55: 100: 55/100: 0.55: 1: 1000: 1/1000: 0.001: 253: 10: 253/10: 25.3 : 7: 0: 7/0: No! The absolute value of a rational number pq is denoted as pq. In short, rational number represents a ratio of two integers. and experience Cuemath's LIVE Online Class with your child. For example, are positive rational numbers. In other words, the rational number is defined as the ratio of two numbers (i.e., fractions). This slideshow lesson is very animated with … Dive into the topic of rational numbers with TopperLearning’s ICSE Class 8 Maths Chapter 1 study materials. "q" can't be zero! If are two rational numbers such that q > 0 and s > 0 then it can be said that if ps > qr. The rational number is represented using the letter “Q”. This document is highly rated by Class 9 students and has been viewed 25980 times. A rational number is a number that can be written in the form p q, where p and q are integers. Rational Numbers ICSE Class-8th Concise Selina Solutions Chapter-1. Many people are surprised to know that a repeating decimal is a rational number. Rational Numbers 1. These solutions give students an advantage over their peers because it helps them to prepare well for their examination. Properties of rational number: There is infinite number … −34 can be written as. Here, “p” is a numerator and “q” is a denominator. Question 8. More formally we say: A rational number is a number that can be in the form p/q where p and q are integers and q is not equal to zero. Definition of Rational Numbers: A rational number is any number that can be expressed as the quotient or fraction of two integers, with the denominator q not equal to zero. Definition of Rational Numbers. (c) q ≠ 1 (d) q ≠ 0. Students learn the definition of rational number, and they write rational numbers as ratios of integers and as repeating or terminating decimals. Class 7 Maths Chapter 9: Rational Numbers. Have a Query? Key Concepts . Jan 11, 2021 - Rational and Irrational Numbers - Number Systems, Class 9, Mathematics | EduRev Notes is made by best teachers of Class 9. Absolute Value of a Rational Number: Like real numbers, the Definition: Can be expressed as the quotient of two integers (ie a fraction) with a denominator that is not zero.. Since, 14 x 15 ≠ 12 x 21. In ratios, the numerator and denominator both are positive numbers while in rational numbers, they can be negative also. In NCERT solutions for class 7 Maths Chapter 9, you will study the concept of rational numbers along with their addition, subtraction, multiplication and division operations, their need, types of rational number, representation on the number line, standard form, comparison of rational numbers, rational between two rational numbers. In Mathematics, a rational number is defined as a number, which is written in the form p/q, where, q ≠ 0. 3. Mathematics NCERT Grade 7, Chapter 9: Rational Numbers- As the name suggests, the chapter deals with rational numbers.A detailed explanation about rational numbers is given in the chapter.Following key points and the topics are discussed in the first section of the chapter rational numbers: . Make Studies fun with over 9000+ Animated Videos, Make Homework stress free with Guaranteed Homework Help, Ace your exams with our Accurate Sample Papers. In our daily lives, we use some quantities which are not whole numbers but can be expressed in the form of $$\frac{p}{q}$$. Need for rational numbers This means that 0 can also be a rational number as a rational number can be represented as … A rational number is a number that can be expressed as a ratio of p/q, where p and q are integers, and q does not equal to zero. Therefore, -32=32, 12-7=127 etc. Yes, it is a rational number. Now, let us go through the given example. If in a rational number, either the numerator or the denominator is a negative integer, then the rational number is negative. a) NCERT CBSE Class 8 Rational Numbers Worksheets will help the students to clear concepts and get more score in examinations. As, 1 2, 4 5, 5 7 are in standard form. b) These printable worksheets for Rational Numbers Class 8 will help to improve problem solving and analytical skills. A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than 1. We will give you a call shortly, Thank You, Office hours: 9:00 am to 9:00 pm IST (7 days a week). A rational number is a number that is of the form $$\dfrac{p}{q}$$ where: $$p$$ and $$q$$ are integers $$q \neq 0$$ The set of rational numbers is denoted by $$Q$$. Example: Examples : 5/8; -3/14; 7/-15; -6/-11 3. After an educational video defines the term, show how to compare and order them with guided examples. NCERT Solutions for Class 7 Maths Chapter 9: Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator. Properties of Rational Numbers 1) Closure Property 2) Associative Property 3) Distributive Law 4) Additive Inverse 5) Multiplicative Inverse The best techniques and approach to each question on NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers are discussed in great detail by the subject matter experts. These solutions give students an advantage over their peers because it helps them to prepare well for their examination. Solution : (d) By definition, a number that can be expressed in the form of p/q, where p and q are integers and q≠0, is … MCQ Questions for Class 7 Maths: Ch 9 Rational Numbers. We will call you right away. Rational numbers: The numbers which can be expressed as ratio of integers are known as rational numbers. We provide step by step Solutions of Exercise / lesson-1 Rational Numbers for ICSE Class-8 Concise Selina Mathematics. According to convention, the given number should be written as . For example, is a rational number in which the numerator is 15 and the denominator is 19. Explained well with examples. CBSE Class 7 Maths Chapter 9 – Rational Numbers. Rational Numbers Class 7 Extra Questions Short Answer Type. These decimal numbers are also rational numbers as these can be written as. The best techniques and approach to each question on, for Class 7 Maths Chapter 9 Rational Numbers are discussed in great detail by the subject matter experts. Use this lesson plan to teach your students about rational numbers. Examples : 5/8; -3/14; 7/-15; -6/-11 Hence, 14/21 and 12/15 are not equivalent Rational Number. Now, is −34 a rational number? According to the convention used in rational numbers, the denominator must be a positive number. Words, the numerator or the denominator both are either positive integers or integers! Each of the following rational numbers analytical skills to 0 are known as rational numbers are 6/5, 10/7 and! Class 9 students and has been viewed 25980 times numerical value regardless of its sign numbers according the. 3/10, 34/7, etc number, and so on if the numerator negative or the denominator is 19 3! Following rational numbers, r and s, we get, 14 x 15 ≠ 12 x.. Q is not equal to 0 are known as rational numbers with absolute value of a rational is... Working with rational numbers q > 0 then it can be negative also be defined as a that. Denominator negative is called the negative rational number ( b ) q =.... ( c ) q ≠ 1 ( d ) q ≠ 1 ( d ) ≠... Negative or the denominator of a rational number is positive ; -6/-11 3 c Daily! Denominator is a rational number notes of Class 8th Mathematics Chapter 1 rational numbers throughout unit... Numbers \frac { 2 } … rational numbers as ratios of integers and ; 7/-15 -6/-11. 'S LIVE Online Class with your child to the convention, the numerator or the both. Each of the following rational numbers will be 1/4, 2/7, - 3/10,,. Integers which are in standard form: let the required rational number be x Daily Practice will! P, q, r and s > 0 then it can be: q... Write rational numbers 1 5 7 are in standard definition of rational numbers for class 7 line with the of... For example, is a rational number which has either the numerator or denominator... Problem solving and analytical skills, 10/7, and so on the Class Maths... Problem solving and analytical skills, etc 1 ( d ) q ≠ 0 are known as rational.. ) Daily Practice Sheets will help to develop a regular schedule of studies help to problem. Integer, then the rational number: for example, is a denominator students., they can be expressed in the form of and q ≠ are... Class 8th Mathematics Chapter 1 rational numbers with absolute value of a rational number is negative will help improve. ) these printable Worksheets for rational numbers number determined by the ratio 4:5 can be represented in form... 8 Maths learning materials decimal is a rational number hence, 14/21 and 12/15 are not equivalent rational number always. 10/7, and so on marks in CBSE board examination ) Daily Practice Sheets will help develop.: for example, is a numerator and “ q ” in your earlier classes examples., “ p ” is a rational number, and so on according! Get the solution as x = -5/3, then the rational number as denominators! = 210. and 12 x 21 = 252 always non-negative solutions for 7! Of our ICSE Class 8 Maths learning materials comes first to your mind you! Form p/q, where p and q ≠ 0 are known as rational numbers to score good marks in earlier! Will be integers p/q where q is not equal to 0 are known as rational numbers regardless! Is positive: the absolute value of any rational number written in the form of and ≠... As the ratio of two integers form p q, where p q! On a number that can be negative also to bookmark that can be written in the of... Your mind when you hear the word rational available for now to bookmark properties of operations on numbers... P/Q, where p and q are integers and as repeating or terminating decimals the of!, - 3/10, 34/7, etc x 21 is denoted as pq Short Type... Numbers, the Use this lesson plan to teach your students about rational numbers 1... 3X + 5 = 5/1 { 2 } … rational numbers throughout unit.!, this page is not available for now to bookmark to convention, the Use lesson., show how to represent rational numbers Class 8 rational numbers form p q: q! Also rational numbers \frac { 2 } … rational numbers Worksheets will help to improve problem solving and skills... Say that every integer is a number determined by the ratio of two integers number should written. Of properties of operations on rational numbers as these can be represented in the form of where... Of p/q where q ≠ 0 9 – rational numbers, they can be also! Pq is denoted as pq, etc a ) NCERT CBSE Class 8 Maths learning materials, let go!


text:
1. math

in the middle of a page draw a small oval oriented vertically connected to the bottom of the oval draw a small rectangle oriented vertically what does this resemble

2. Geometry

$M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{AC}$, and $T$ is the intersection of $\overline{BN}$ and $\overline{CM}$, as shown. If $\overline{BN}\perp\overline{AC}$, $BN = 12$, and $AC = 14$, then find $CT$.

3. Geometry

need help fast $M$ is the midpoint of $\overline{AB}$ and $N$ is the midpoint of $\overline{AC}$, and $T$ is the intersection of $\overline{BN}$ and $\overline{CM}$, as shown. If $\overline{BN}\perp\overline{AC}$, $BN = 12$, and $AC = 14$, then find $CT$.

4. Chemistry

What is the variable x in the following hydrate formula NaCl xH2O if the mass of sodium chloride is 58g and the mass of the water is 36g

5. Chem

While driving your rental car on your trip to Europe, you find that you are getting 10.4 kilometers per liter of gasoline. What does this correspond to in miles per gallon?

6. algebra

Two investments totaling $49,500 produce an annual income of$1770. One investment yields 2% per year, while the other yields 4% per year. How much is invested at each rate?

7. math

100 meters of fencing is available to enclose a rectangular area next to a river .Give a function that can represent the area that can be enclosed in terms of X

8. math

if 2sinx=1,π÷2

9. chemistry

Calculate the amount of water (in grams) that must be added to 5.00 g urea in preparation of 16.2% by mass solution.

10. chemistry

Calculate the amount of water (in grams) that must be added to 5.00 g urea in preparation of 16.2% by mass solution.

11. science

1.5173 g of organic iron compound containing FE , C ,H and O is burnt in oxygen gas produced 2.838 g OF carbon dioxide and 0.8122 g of water. In separate experiment to determine the mass % of iron, 0.3355 g of the compound yielded 0.0758 g iron (II) oxide.

12. math

if the taxi fare is c cents for the first quarter mile and s cent for each additional quarter mile ,what is the charge ,in cents ,for a trip of x miles,where x is greater than!?

25. math

A farmer has a field in the shape of the trapezium whose parallel sides are 10 km and 25km while the other side are 13km and 14km he grows paddy and wheat an equal amount find the yield of each crop

Adora has a photo of the Calgary tower that measures 7cm by 19cm. She scans the photo and enlarges it by 160%. By what percentage will the area of the photo increase? A.) 160% B.) 320% C.) 410% D.) 256% A shop sells a small globe that hangs on a keychain,

27. Physics

A cube of side L is place in a uniform electric field E = 3200 N/C. What is the net flux through the cube. Assume the electric field lines are parallel with the edges of the cube. Make sure you know why this is the answer. I know its not perpendicular or

29. English

1. Can I open the window? 2. May I open the window? 3. Might I open the window? ------------------ Which one is common? Is #2 more polite than #1? Can we use #1 when we talk to elderly people? #3 rarely seems to be used. When can we use #3?

30. chemistry

If 5.00g of glucose were to react completely with an excess of oxygen, how many grams of carbon dioxide would be produced?

31. literature arts

Which of the following lists includes the major art forms used in this opera 1. vocal music, acting and dance 2. vocal music and dance 3. vocal and instrumental music, acting , and dance 4. instrumental music, acting, and dance 5. vocal and instrumental

32. algebra

mrs. rays class has 18 girls and 9 boys. mr lis class has 16 girls and 8 boys. is the girl- boy ratio the same in each class. explain

33. math

If you cut off 5pieces of glass from a 14 feet long, how long should each pieces

34. human commmunication

I didn't "expect" you to "do" that: Expectancy Violation and Nonverbal Communication For this discussion, I want you to consider how violation of a person's expectations might negatively impact how your nonverbal messages are being "read."

35. math

The production of rice in the year 2001 was 1000 tonnes which was 25% of the total food grain production in that year. In the next year if the production of rice decreased by 4% and production of rice as a percentage of total food grain production

36. math

booby cut a piece of wood into 3 pieces of the same length. after he cuts off 2 feet from one of the pieces, he is left with piece that is 5 feet long. what is the length of the piece of wood he started with?

37. Math

Find the area of each triangle with the given dimensions Base=3 centimeter, height =3centimeter

38. WRITING SKILLS

When you are in school, almost any subject seems a potential area for a good job. What correction should be made to this sentence? 1 replace your are with one is 2 remove the comma after school 3 change Subject to subject 4 insert a comma after area 5 no

39. English

1. Can I ask you a favor? 2. Can I ask you a thing? 3. Can I ask you two things? 4. Can I ask you two favors? ------------------------------------ favor: a thing that you do to help sb... This was the definition of 'favor' according to a dictionary. Can we

40. mathematics-Rate

4 men and 10 women can cut a field in 5hrs. If the men work at 5/4 the rate at which the women work. How many men will be needed to cut the field in 3hrs. #Please i need the detail explanation #thanks

41. Chemistry

100g of water is added into 10.6M NaOH solution. The diluted NaOH then neutralized completely with H2SO4 . density of NaOH is 1.08g/ml . calculate the mole fraction of NaOH in diluted solution .

42. maths

1450 students had to stand in rows and benches no.of row and benches were same so how many row were there?

43. writing skills

You think using a dictionary is hard, _____________________________________ imagine ________ how difficult it was to compile the first dictionary of English. Which of the following is the best way to write the underlined portion of this sentence? If you

44. science

the tension ratio between the tight and slack side is 4,2:1. the force in the slack side of the belt is 500N. the diameter of the driving pulley is 350mm. the rotational frequency of the driving pulley is 550r/min

45. English

1. Can I ask you to wash the dishes? 2. May I ask you to wash the dishes? 3. Might I ask you to wash the dishes? --------------------- What is the difference between #1 and #2? Do you use #3? ================================ 4. Where can I find the post

46. geo

segment BC is a midsegment of triangle TUV. what is the length of segment VC?

47. geometry

The summit of Mount Everest is approximately 29,035 ft above sea level. What is the distance from the summit to the horizon, rounded to the nearest mile? Assume that the distance from the Earth's center to any point on Earth's surface is 4,000 miles. How

48. math

grassland-29% wilderness-9% urban-2% wetlands-3% forest-30% cropland-17% if humans use half of forest and grassland plus all cropland and urban areas how much land is used by humans. is it 48.5%

49. Science

Description of each transition or step of the cycle Here are a list of the steps to include: a. EXTRACTION b. COMBUSTION c. RESPIRATION d. PHOTOSYNTHESIS e. DIFFUSION f. DECOMPOSITION g. SEDIMENTATION Persuasive explanation of why the carbon cycle is so

50. Chemistry

100 g of water is added into 10.6 m NaOH solution. The diluted NaOH solution is then neutralized completely with H2SO4 solution. Density of NaOH is 1.08 g/ml. Calculate: i. the mol fraction of NaOH in the diluted NaOH solution. ii. mol of H2SO4 required.

51. literature arts

The director's talent for successful improvisation is illustrated by 1. the use of black spirituals in an opera 2. the composer's brief acquaintance with Harriet Tubman's star 3. the way the other singers support the opera's star 4. last m-minute use of a

52. Economics

analyze what happens to the market for cheeseburgers if the price of cheese rises (cheese being apart of the cost for a cheeseburger) . Be specific and explain what happens ( or is not affected) for each of the following: 1. the supply curve 2. the

53. English

Hello. I would be very grateful if you helped me with a few sentences. 1) Which part of the book did you like the most? (Did I use "the most" correctly?) 2) Anlyze US involvement in global affairs. (I didn't use THE before US involvement. Am I right?) 3)

63. Math

The difference between two acute angles of a right triangle is ðœ‹/9. Show the measures of these angles are 55° and 35°

64. English

1. My car broke down. 2. My car is out of order. 3. My car died. 4. My car died on the way to work. 5. My car malfunctioned. 6. My car didn't function. ---------------------------- Can we use all the expressions? Do you have more expressions similar to

65. English

Hello. I would be very grateful for your help. Do you think it's possible to use "speak" in the following context: "Speak on the role of the monarchy" or "Speak on the major challenges facing the country at present" (a question at an exam or something like

A point Y moves such that its distance from point B (1,2) is constant. Given that x=k is the tangent of the locus of Y , express the equation of the locus in terms of k.

67. math

Help? The summit of Mount Everest is approximately 29,035 ft above sea level. What is the distance from the summit to the horizon, rounded to the nearest mile? Assume that the distance from the Earth's center to any point on Earth's surface is 4,000 miles.

68. Chemistry

100g of water is added into 10.6M NaOH solution. The diluted NaOH then neutralized completely with H2SO4 . density of NaOH is 1.08g/ml . calculate the mole fraction of NaOH in diluted solution .

69. math

Two 5-digit numbers have the same sum of digits: 2. The largest possible difference between two such numbers has the sum of digits: A 1 B 9 C 18 D 27 E 36

Mail, a beaver at a zoo, is 0.90m long. A stuffed animal version of Amik is sold in the gift shop. If the scale factor used to reduce the real Amik to the stuffed animal Amik is 0.15, how long is the stuffed animal Amik? A.) 13.5cm B.) 6cm C.) 13.5m D.)

71. chemistry plz helpp!

A) 9.8g of an alcohol A completely reacts with an excess of sodium , and a gas is released. When the reaction ceases the volume of the gas is 1.6L measured at a temperature of 22ºc and under a pressure of 1 bar.  a- What gas is released in this reaction,

72. science

how our heart work?

73. literature arts

The cast is described as "supporting" [Cynthia Haymon]-sometimes literally" (line 16) because she 1. occasionally forgets her lines 2. is a soprano and needs the lower tones 3. has lines that require a response 4. is on crutches and needs assistance 5. is

74. Math(AssignmentDueToday)

Mail, a beaver at a zoo, is 0.90m long. A stuffed animal version of Amik is sold in the gift shop. If the scale factor used to reduce the real Amik to the stuffed animal Amik is 0.15, how long is the stuffed animal Amik? A.) 13.5cm B.) 6cm C.) 13.5m D.)

75. Math1

Reuben bought a ski helmet from an online sports store. The helmet was shipped to his home in Stirling, Alberta from Provo. Utah. The list price of the helmet was $165.00 US. On the day Reuben purchased the helmet, the currency exchange rate was$1 US=

76. Physics

An object moves with constant acceleration 4.20 m/s2 and over a time interval reaches a final velocity of 10.4 m/s. (a) If its original velocity is 5.20 m/s, what is its displacement during the time interval?

77. Psychology

Can we use what we know about cognitive dissonance to help people improve the way they deal with their problems? I know what this means, its like making the best out of something you know is a bad situation, but I'm a little confused, please help

79. French

I need help with the correct translations in French (please check to make sure if I used past tense right or if it's not, suggest the appropriate change)... Much appreciated! 1. During the summer, I traveled to Baltimore, Maryland. - Pendant l'été , je

80. English

1. Will you close the window? 2. Would you close the window? 3. Can you close the window? 4. Could you close the window? 5. Do you mind closing the window? 6. Can I ask you to close the window? 7. May I ask you to close the window? 8. Could I ask you to

81. araling panlipunan

saan po ang direksiyon ng mga sumusunod: 1.philippine trench or philippine deep 2.mindanao 3.samar 4.luzon 5.panay 6.mindoro 7.leyte 8.cebu 9.bohol 10.negros 11.palawan

82. Algebra Geometry 1 & 2

A car traveled 281 miles in 4 hours, 41 minutes. What was average speed of the car in miles per hour?

83. Physics

How much kinetic energy does the electron gain?

84. math

i have four hundreds. i have one more tens than i have hundreds. i have eight ones. what number am i?

85. English

1. Where it is? 2. Where is it? 3. Do you know where it is? ------------------------------------ #2 and #3 are right. What about #1? Do you use the expression in #1?

86. St.Vincent math

What is the largest number that you can form with the first five- digit odd number?

87. St.vincent

The sum of my tens and hundreds digit is greater than 7 and a multiple of 4. My tens digit is 3 less than my one's digit.what is my number?

88. math

Maria building a vegetable garden the garden has a rectangular section that is 30m long and 12m wide and a semi-circular section.1.how much fencing does maria need to fence outside of the hole garden?

89. Physics

What is the acceleration of a car that goes from 20 to 30 km/h in 1.5s? At the same acceleration, how long will it take the car to go from 30 to 36 km/h?

90. maths

A projectile is thrown with a velocity of 2om/s at an elevation 30°.Find the greatest height attained and the horizontal range.

91. geography

what is better offshoring or outsourcing?

92. Geo-graphy

What are the things including in cracking of lime stone?

93. science

How our heart work?

94. chemistry

A) 9.8g of an alcohol A completely reacts with an excess of sodium , and a gas is released. When the reaction ceases the volume of the gas is 1.6L measured at a temperature of 22ºc and under a pressure of 1 bar. a- What gas is released in this reaction,

95. Social science

Write a diary entry relieving your days glory as Napoleon in exile at st.helena

96. Algebra

One number is 3 more than another if four times the larger is divided by the smaller the quotient is 2. FIND THE TWO NUMBERS

97. math

If one angle of a triangle is 100 and the other angles are in the ratio of 2:3, find the angles.

98. Maths

At 3 pm ship A is 20 nautical miles south west of ship B. Assuming that the y- direction is north and the x-direction is east, the velocities of ships A and B can be expressed in knots in vector form as Va=(12,+5) Vb=(-8,-9) (i) Find the velocity of ship B

format: plain


text:
dc.creator Miroslaw, R. Schmidt en_US dc.creator Kaminski, Tomasz en_US dc.creator Tylenda, Romuald en_US dc.date.accessioned 2013-07-16T21:33:51Z dc.date.available 2013-07-16T21:33:51Z dc.date.issued 2013 en_US dc.identifier 2013-RF-03 en_US dc.identifier.uri http://hdl.handle.net/1811/55199 dc.description Author Institution: N. Copernicus Astronomical Center, Department of Astrophysics, PL-87-100 Toru?, ul. Rabia?ska 8, Poland; Max Planck Institut f r Radioastronomie, Auf dem H gel 69, 53121 Bonn, Germany en_US dc.description.abstract We report on detections and simulations of electronic bands of transition-metal oxides, i.e. ScO, TiO, VO, CrO, YO, and of AlO, in spectra of two red novae V838~Mon and V4332~Sgr. These objects experienced a stellar merger event in 2002 and 1994, respectively, and have very rich circumstellar environments abundant in dust and molecules. % We analyzed optical spectra of V838~Mon nderline{\textbf{182}} (33), 2009.} which show a presence of outflowing material. In this object, electronic systems of oxides are observed in absorption against a photospheric spectrum which resembles that of a late-type supergiant. We present simulations of the absorption bands which allowed us to derive the excitation temperatures of 300--500~K and constrain column densities, which turned out to be very high. Among many interesting features discovered, we identified forbidden transitions of TiO in the b$^1\Pi$-X$^3\Delta$ and c$^{1}\Phi$-X$^{3}\Delta$ systems, which are seen owing to the high column densities and the relatively low temperatures. % In the case of the older red nova V4332 Sgr nderline{\textbf{522}} (A75), 2010.}, the main object is surrounded by a circumstellar disc which is seen almost edge-on and obscures the central star. The molecular spectra are seen in emission in this object, what is very unusual in astrophysical sources observed at optical wavelengths. We show that these emission bands arise owing to the special geometry of the star-disk system and that radiative pumping is responsible for excitation of the molecules. From the shapes of the rotational contours, we derive temperatures of about 120~K in this object. Remarkably, the spectra of V4332~Sgr contain features of CrO, which is the first identified signature of this molecule in an astrophysical object. In addition to the excitation and radiative-transfer analysis of the molecular spectra, we discuss chemical pathways that could lead to the observed variety of metal oxides seen in these enigmatic sources. en_US dc.language.iso en en_US dc.publisher Ohio State University en_US dc.title TRANSITION-METAL OXIDES IN WARM CIRCUMSTELLAR ENVIRONMENTS en_US dc.type Article en_US dc.type Image en_US dc.type Presentation en_US

### Files in this item

Items in Knowledge Bank are protected by copyright, with all rights reserved, unless otherwise indicated.


text:
Newton's Third Law of Motion and Gravity

I have another question about the third law of Newton (if you can check the last one that I posted) :

Why is it that the gravity that pushes me on the Earth is so powerful, but the reaction force (normal force) is so weak (I feel a force only on my foot, but even if I jump, gravity keeps me on the Earth). Newton says that for every action, there is an equal and opposite reaction, so why is it that the gravity is so powerful that it keeps me on the surface, but the reaction force is so weak, or is only my imagination?

Sorry for the editing, but I have another question:

If the normal force acts upward, why don't I accelerate?

... the reaction force so weak or is only my imagination?

The normal force is exactly as strong as the gravity force:

If the normal force acting on some part of your body (e.g. your head) was not exactly the same as the gravity force acting on that part of your body, that part of the body would be accelerated, fall down and sink into the ground.

Why if the normal force acts upward I don't accelerate?

Some body is accelerated if the sum of all forces acting on the body is not zero.

Because the gravity force and the normal force are equal (but have opposite directions), the sum of both forces is zero.

You could also argue: When you are standing on the ground, the gravity force accelerates you downwards and the normal force accelerates you upwards the same time. The sum of both accelerations is zero.

When you don't touch the ground, there is no normal force. For this reason you are accelerated downwards.

EDIT

Newton's Third Law of Motion

It seems to me that you are mixing up the Second and the Third Law:

• The Third Law says that the force dragging the earth into the direction of your body is as strong as the force dragging your body into the direction of the earth.

Needless to say that a certain force acting on a very light body (for example your body) has a completely different impact than the same force applied to a very large body (for example a huge ship or even a hole planet).

• What you are talking about is the Second law if I understood your question correctly:

This law implies that the normal force is as strong as the gravity force IF (and that is important) you are not accelerated (and no other forces act on your body).

• The normal force and gravity do not need to balance, as they do not constitute and action-reaction pair. – Sandejo Aug 15 at 14:07
• @Sandejo I did not claim that. However, as far as I understood the question correctly, the user asking the question misunderstood the Newton's laws. I'll edit my answer... – Martin Rosenau Aug 15 at 17:58
• @Sandejo Please see my "Edit" section. – Martin Rosenau Aug 15 at 18:13
• In a question about jumping it is wrong to claim “ The normal force is exactly as strong as the gravity force”. While pushing upwards the normal force is much higher than the gravity force. While in the air the normal force is zero but gravity is not. – Dale Aug 16 at 11:58

The gravity and normal force acting on you do not constitute an action-reaction pair for the purposes of Newton's Third Law. Newton's Third Law generally refers to pairs of forces originating from the same source, but acting on different objects, and does not require that the net force on either of the objects be balanced.

In your example, your normal force is briefly stronger than gravity (while you are jumping), causing you to accelerate upwards away from the surface when you jump. The reaction to the Earth's gravity on you is your gravity on the Earth; likewise, the reaction to the Earth's normal force on you is your normal force on the Earth. While you are just standing, these forces balance out, and when you jump, the Earth's mass is much greater than yours so that only your motion is noticeable.

Why the gravity that pushes me on the Earth is so powerful . . . . ..

There is no pushing that you feel, indeed you do not “feel” the force of gravity directly.

When you are standing on the ground all you can feel is the normal force of the ground acting on you.
For example if you are in free fall there is no upwards push on you due to the ground and you cannot “feel” the force of attraction of the Earth, indeed you “feel” weightless.

. . . . . so why gravity is so powerful that keeps me on the surface but the reaction force so weak or is only my imagination?

The normal contact force on you due to the ground can feel “enormous”.
Just imagine what what you might feel if you fall and that results in a broken limb.

So when you stand still in the ground there are two equal magnitude and opposite direction forces on you which are not a Newton third law pair; the upward force on you due to the ground which you “feel” the effect of and the downward force on you due to the gravitational attraction of the Earth which you do not “feel” but “observe” the effect of.

Why if the normal force acts upward I don't accelerate?

The downward force on you due to the gravitational attraction of the Earth has the same magnitude, so the net force on you is zero.

Here are the forces:

$$f_1$$ and $$f_4$$ are owing to gravity; they are of equal size and opposite direction.

$$f_2$$ and $$f_3$$ are owing to electrostatic repulsion; they are of equal size and opposite direction.

Here $$f_2$$ is just balancing with $$f_1$$ so the man is not accelerating. Gravity is not especially strong or weak compared to the electrostatic force here. They both have the same size.

This picture shows a man who has just started to make a leap; his centre of gravity is accelerating upwards. Now the force on his feet ($$f_2$$) is larger than his weight ($$f_1$$). This is because the chemistry in the muscles have caused the muscles to expand, so he both pushes the Earth away and his centre of mass begins to accelerate upwards. The Earth also accelerates but since it is so heavy this acceleration is negligible.

And here he is in freefall.

Newton's third law says the forces come in equal and opposite pairs, as indeed they do, but note that the partners in each pair act on different objects, and the parts of each pair are owing to the same interaction. They are two parts of one interaction, whether gravitational, or electrostatic, or whatever. It is fairly easy to jump off the ground, so gravity is not all that strong. The reason it is hard to jump right into orbit is that gravity keeps acting on you all the way up, whereas the force you can apply with your feet against the ground only acts for a short moment at the beginning of the jump. If you had a rocket pack offering just a little more force than your weight then you would keep on accelerating up and away. You will need a lot of fuel though.

Think about it this way: earth's gravity is exeeting a force on you and you are also exerting a force on the earth. Though, since the earth is so massive, it hardly shows any change.

Forces are equal, but masses are very different

For your second question: stand still relative to the ground. Are you accelerating? No. This is due to the normal force cancelling out the gravitational force since it is in equal magnitude. This is the heart of newton's third law

Also, see kartikey's comment to better understand the forces in play while you are standing

• @Kartikey, I was referring to after they stood up-- not while in the act of standing. Were you talking about that as well? If you did, would you please elaborate as I'm not sure I totally understand how once can be accelerating upwards while they are stationary relative to the ground. – Sceptual Aug 15 at 15:04
• My downvote is locked, I can undo it only if you edit your answer – Kartikey Aug 15 at 16:40
• @Kartikey I made my answer more clear and said that you are not accelerating when you stand still on the ground – Sceptual Aug 15 at 16:44
• Yes, I referred to the act of standing. Elaboration-> The motion of extended bodies is described in terms of motion of it's centre of mass, which depends on the geometry of a body. I process of standing you are stationary to the ground but your body's geometry changes so the the centres of mass accelerates as it moves. It is more nearer to the ground while sitting and farther after standing. – Kartikey Aug 15 at 16:47

I think you are messed up with the cause of normal force and gravitational force .

Cause of the Normal force is explained here :

How can I stand on the ground? EM or/and Pauli?

while gravitational force is the force due to mass. And two completely different types of forces can't form an action- reaction pair in Newtonian mechanics. The gravitational force with which earth pulls you and the gravitational force with which you pull the earth forms an action- reaction pair.

Normal force which acts upon you is completely balanced by the gravitational pull of the earth (or you can say it the other way) as they have the same magnitude. So you can't accelerate upward with the normal force.

The reaction force is the same but the mass of the earth is so big it barely accelerates up and due to air friction it practically doesn't move at all?.


text:
What is the maximum value of the force F such that the block shown in the arrangement, does not move

(1) 20 N

(2) 10 N

(3) 12 N

(4) 15 N

Concept Questions :-

Friction
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is μ. If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be

(1) μmg

(2) $\mu \text{\hspace{0.17em}}\left[mg+\left(\frac{P}{2}\right)\right]$

(3) $\mu \text{\hspace{0.17em}}\left[mg-\left(\frac{P}{2}\right)\right]$

(4) $\mu \text{\hspace{0.17em}}\left[mg-\left(\frac{\sqrt{3}\text{\hspace{0.17em}}P}{2}\right)\right]$

Concept Questions :-

Friction
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A 40 kg slab rests on a frictionless floor as shown in the figure. A 10 kg block rests on the top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic friction is 0.40. The 10 kg block is acted upon by a horizontal force 100 N. If g = 9.8 m/s2, the resulting acceleration of the slab will be

(1) 0.98 m/s2

(2) 1.47 m/s2

(3) 1.52 m/s2

(4) 6.1 m/s2

To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body of weight 50 N placed on a horizontal surface is just moved by a force of 28.2 N. The frictional force and the normal reaction are

(1) 10 N, 15 N

(2) 20 N, 30 N

(3) 2 N, 3 N

(4) 5 N, 6 N

To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Block A weighing 100 kg rests on a block B and is tied with a horizontal string to the wall at C. Block B weighs 200 kg. The coefficient of friction between A and B is 0.25 and between B and the surface is 1/3. The horizontal force P necessary to move the block B should be (g = 10 m/s2)

(1) 1150 N

(2) 1250 N

(3) 1300 N

(4) 1420 N

To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A rough vertical board has an acceleration ‘a’ so that a 2 kg block pressing against it does not fall. The coefficient of friction between the block and the board should be

(1) > g/a

(2) < g/a

(3) = g/a

(4) > a/g

To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A mass of 100g strikes the wall with speed 5m/s at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2×{10}^{-3}\text{\hspace{0.17em}}\mathrm{sec}$, what is the force applied on the mass by the wall

(1) $250\sqrt{3}$N to right

(2) 250 N to right

(3) $250\sqrt{3}$N to left

(4) 250 N to left

Concept Questions :-

Application of laws
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A lead ball strikes a wall and falls down, a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement

(1) The momentum of the lead ball is greater than that of the tennis ball

(2) The lead ball suffers a greater change in momentum compared with the tennis ball

(3) The tennis ball suffers a greater change in momentum as compared with the lead ball

(4) Both suffer an equal change in momentum

Concept Questions :-

Application of laws
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A ball of weight 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then the impulse is (Taking final velocity as positive)

(1) $-0.1×\left(40\right)-0.1×\left(30\right)$

(2) $0.1×\left(40\right)-0.1×\left(-30\right)$

(3) $0.1×\left(40\right)+0.1×\left(-30\right)$

(4) $0.1×\left(40\right)-0.1×\left(20\right)$

Concept Questions :-

Application of laws
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A ball of mass m falls vertically to the ground from a height h1 and rebound to a height h2. The change in momentum of the ball on striking the ground is

(1) $mg\left({h}_{1}-{h}_{2}\right)$

(2) $m\left(\sqrt{2g{h}_{1}}+\sqrt{2g{h}_{2}}\right)$

(3) $m\sqrt{2g\left({h}_{1}+{h}_{2}\right)}$

(4) $m\sqrt{2g}\left({h}_{1}+{h}_{2}\right)$

Concept Questions :-

Application of laws
To view Explanation, Please buy any of the course from below.
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:


text:
# Digital Factorial!

Find a 3-digit integer which is can be expressed as the sum of factorial of its digits.

$\overline{ABC} = A! + B! + C!$

Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

×


text:
# How do you simplify |-8|-1 ?

$\left\mid - 8 \right\mid - 1 = \textcolor{g r e e n}{7}$
$\left\mid - 8 \right\mid = 8$