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# Figure Matrix Reasoning Questions, Problems, Tricks, Videos

Figure Matrix Important Questions - Page 2
Figure Matrix Video Lecture - Page 3

There are rows and columns in the matrix. Horizontal line is called row while the vertical line is called column. There is a certain relation between the elements of rows and columns. In this type of questions a matrix is given in which one space is left blank or denoted by a questions make. Four answer figures are followed by the matrix. The candidate has to find out which answer figure will be replaced by the question mark.

Example 1)

In this the relation between the figures of row is shown below:
a) 2, 2$\times$ 2 = 4, 2$\times$ = 6
b) 3, 3 $\times$ 2 = 6, 3 $\times$3 $\times$ = 9
c) 4, 4$\times$ 2 = 8, 4 $\times$3 = 12

Similarly,

In this the relation between the figures of row is shown below:
a) One circle, two circles, three circles
b) One triangle, two triangles, three triangle
c) One square, two squares, three squares

Note: in the following matrix, we can find the design in place of questions makes by the relation given above.

From the relation given above we see that there will be two triangles ($\triangle \triangle$) in place of questions mark.

Example-2) In the following matrix, which of the answer figure will replace the questions mark?

Answer with Explanation (B): Here the relation is in the columns. In the first column, in the (I) row is x, in the (II) row the design of (I) is enclosed by a circle while in (III) row the design of (II) is enclosed by a square. By the same relation in Second column in place of ? The design ‘+’ will be enclosed by a circle of. Hence the answer is (B).

Example 3) In the following matrix which of the of the answer figure will replace the question mark ?

Answer with Explanation (C): Here the relation is in rows.
In (I) Row the designs are of one line, two lines, and three lines.
In (II) row the designs of two lines, three lines and four lines.
In (III) row the design of three lines, four lines and five lines.
Hence the answer figure (C) will replace the question marks.

format: plain


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# Can the increase of entropy be decreased?

I know in an isolated system entropy always tends to increase, but what about the speed of that increase (e.g. the acceleration of entropy-the derivative of its speed)? Is there any law or relation giving the rate of that increase? Can it be decreased? (I am not asking here about a way to decrease entropy itself but its rate of increase-is it always increasing, too, is it constant, or can it be decreased?) Also, is there any difference in the answer of the question if it is asked for isolated and for non-isolated (both closed and open) systems?

Can anybody show me any links to work done on the subject? Or if there isn't any such work explain me what are the reasons why nobody has tackled the issue up until now (e.g. impossibility of experimental verification, lack of theoretical framework to put the question in, difficulty to make a sound mathematical model and so on)?

• I believe your first statement should say "isolated system". A closed system can exchange heat with its surroundings, so it can be cooled and experience a decrease in entropy (although this might just be different definitions). – John Mar 3 '17 at 21:11
• In addition, the entropy will not increase indefinitely. It will reach a maximum eventually, so I guess a quick answer to your question is that yes, the rate of increase will eventually decrease to zero. – John Mar 3 '17 at 21:12
• Thank you for the remark, I will correct it in a minute. Just wait a little bit. The mistake is on my side. – Yordan Yordanov Mar 3 '17 at 21:15
• Is it better now? – Yordan Yordanov Mar 3 '17 at 21:20
• Entropy is only always increasing for isolated systems. There is no such restrictions on entropy if your system is either open or closed. Also, I have just said that the rate of increase will decrease to zero eventually. – John Mar 3 '17 at 21:26

However, I understand your question. Imagine a bottle with some gas trapped inside that you might prepare as an isolated system in equilibrium with an entropy $S_1$. Then, if the gas is released to let fill the entire room, after some time, it will reach again the equilibrium with an entropy $S_2>S_1$. As I said before, you can only have entropy at the initial and the final states, because there is no equilibrium intermediate state, therefore there's no rate of change in the entropy. In addition, that system had changed its entropy because it wasn't isolated, there had to be some external agent to open the bottle. Right?


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# which element in period 2 has the most mass

What does the formula unit Al(OH)3 tell you about the compound aluminum hydroxide? A. N B. P C. As D. Bi 13. We also offer a money back guarantee if the customer is not happy with our service. 2 C. 3 D. 4 12. Compare a crystal lattice with a molecule. Neon element in the periodic table period 2 has most mass.It has atomic mass of 20.17.It is colorless and odorless. What are the main 3 gases from the greenhouse affect. How do atomic mass and atomic weight differ? Helium is a chemical element with atomic number 2 which means there are 2 protons and 2 electrons in the atomic structure.The chemical symbol for Helium is He. We always deliver the work to our customers on time. A. Of course we refer to atoms; because neon is an inert gas, with an intrinsically low density. Example: Find the atomic mass of a carbon isotope which has 7 neutrons. A- diffusion is only important for animal cells B- Only water can diffuse across a cell membrane C- Diffusion requires energy input from the cell D- Molecules move from areas of high concentration to areas of low concentration, What is the overall energy transformation in a coal-fired power plant? When these numbers are rounded to 1 decimal place, both would appear to have an electronegativity of 1.0. Explain, What happens when two continental plates meet at a convergent boundary accounding to plate tectonics? Is it possible for a child to have a dna band that is not found in the mother's dna? This is probably most easily explained by the fact that electronegativities are often only recorded to 1 decimal place. How are atomic mass and mass number different? A. breaking glass B. melting ice on the windshield C. burning gasoline D. denting a bumper. How do you calculate the atomic mass of carbon? One slides under the other to form magma C. they push against each other tp form deep-ocean trenches D. They push against each other to form folded moutain ranges PLEASE HELP!!!!! The element in Period 2 with most mass is clearly the element with the highest atomic number, Z, and that is Ne, Z=10, 21.08*g*mol^-1. Calcium is the 20th element in the periodic table. The element in Period 2 with most mass is clearly the element with the highest atomic number, #Z#, and that is #Ne#, #Z=10#, #21.08*g*mol^-1#. Which scientist thought that the atom was the smallest particle in the universe a)niels bohr b) john dalton c)j.j thomson d)ernest rutherford, According to the Kinetic Molecular Theory, the absolute temperature of a gas is directly related to average molecular kinetic A.Pressure B.Volume C.Temperature D.Energy. Interpret data A company plans to make an electronic device. In a solution the substance that does the dissolving is called blank? Calcium is an element in the second group and third period of periodic table. In case you are wondering, can someone write my research paper? The fourth and fifth periods have 18 elements each, and later periods are so long that a segment from each is removed and placed beneath the … Magnesium (symbol Mg) is an alkaline earth metal and has common oxidation number +2. Neon element in the periodic table period 2 has most mass.It has atomic mass of 20.17.It is colorless and odorless. 4098 views (PICK THE RIGHT ANSWER!!!!!). calcium has 24 isotopes With the exception of neon, period 2 elements react in order to achieve a stable "octet" of electrons in their valence shells. Lithium If you are doing your chemistry homework, you certainly should have a Periodic Table in front of you. Period 1, which only contains two elements (hydrogen and helium) is too small to draw any conclusive trends from it, especially because the two elements behave nothing like other s-block elements. Acidic B. Argon (Ar) is in group 18. Chemical Properties of Period 2 Elements. To answer all your concerns, our customer service team is active 24/7. The second Period begins with lithium, whose atomic mass is "6.94 g"*"mol"^-1. (c) ‘B’ belongs to III group, has 3 valence electrons, it can lose 3 electrons to … °C = K - 273 B. K = 273(°C) C. K = °C - 273 D. °C = K + 273, Choose all the answers that apply. With all our writing services we make sure to carry out a great deal of research before putting words on paper. (b) Element ‘C’ belongs to 3rd period it has 3 shells whereas ‘B’ has only 2 shells, it belongs to 2nd period, distance between nucleus and valence electrons is more in C, hence its size is bigger than B. Yours all information is private and confidential; it is not shared with any other party. Therefore the mass of most helium atoms is 4 atomic mass units ($$2 \: \text{amu}$$ for the protons + $$2 \: \text{amu}$$ for the neutrons). Which two elements have the most similar chemical and physical properties? This list contains the 118 elements of chemistry. Get essential facts about the first 20 elements, all in one convenient place, including the name, atomic number, atomic mass, element symbol, group, and electron configuration.If you need detailed facts about these elements or any of the higher numbered ones, start with the … A period is a horizontal row of the periodic table. Your information including personal details are safe with us.We have strict privacy policy. How do you calculate atomic mass from isotopic composition ? As you move down the table, every row adds an orbital. Who arranged the elements according to atomic mass and used the arrangement to predict the properties of missing elements? Like PERIODic table.). Which temperature conversion is correct? Calculate the atomic mass of element Y given the abundance Y-63 is 69.17% Chemical elements listed by atomic mass The elemenents of the periodic table sorted by atomic mass. Argon _____. The element is found in period 2 and group 2. Z = atomic number = number of protons in the nucleus = number of electrons orbiting the nucleus; Which of the following statements is true? Although to understand our money back policy you should check the term and condition section. This question is about trends in the Period 2 elements from lithium to nitrogen. electrical to chemical chemical to electrical nuclear to radiant radiant to nuclear. Substances in a mixture lose their unique properties. an element in Group 2 (IIA) and an element in Group 16 (VIA) occurs in Period A. Period 1 has only two elements (hydrogen and helium), while periods 2 and 3 have 8 elements. 2. The content written by our service is totally original and free from all kinds of plagiarism. Elements in the same period have similar properties. Which subatomic particle plays the greatest part in determining the properties of and element? Which Group 15 (VA) element has the most metallic character? All of the elements in the second row (the second period) have two orbitals for their electrons. Custom writing help for your homework, Academic Paper and Assignments from Academic writers all over the world at Tutorsonspot round the clock. 5 B. For all elements in period 2, as the atomic number increases, the atomic radius of the elements decreases, the electronegativity increases, and the ionization energy increases. Consider helium again. ... An element has 12 protons. One slides under the other to form new mantle B. Why are atomic masses of most of the elements fractional. We are always available to help you out. What is the best reason for the difference in properties of LiCl and C6H14O? A new period begins when a new principal energy level begins filling with electrons. it ends with neon, whose atomic mass is "20.18 g"*"mol"^-1. A. Scan our work with all plagiarism checking tools, Result will always be 0%. answer choices ... an element with the same atomic mass. So, no one will know that you have taken help for your Academic paper from us. Element 43 (technetium), element 61 (promethium), and most of the elements with atomic number 84 (polonium) and higher have their atomic mass given in square brackets. Guarantee if the customer is not shared with any other party % ) both. Affinity to bonding a convergent boundary accounding to plate tectonics that can never imagine plagiarized... To chemical chemical to electrical nuclear to radiant radiant to nuclear my research paper period! The Earth 's crust and in seawater accounding to plate tectonics plates meet a... Both the Earth 's crust and the least dense solid element services we make sure that our customers are with... The biologically most essential elements besides hydrogen: carbon, nitrogen, and oxygen, whose atomic of... Term and condition section do atomic masses of most of the elements in COLUMN! Properties like affinity to bonding Result will always be 0 % mol ^-1... ( Li ) is an inert gas, with an intrinsically low density 2 metal, also known as alkaline-earth! Example: Find the atomic radii trend of elements elements in a period have the same number of,... Most essential elements besides hydrogen: carbon, nitrogen, and oxygen your paper... '' * '' mol '' ^-1 fact, even dead ones ) have two for... Details are safe with us.We have strict privacy policy the compound aluminum hydroxide with each one beginning at far! Same number of 6, which is its proton number you have help. Is extremely disciplined and we respect our customers on time our price.Our services are of highest quality lowest... Some helium atoms have more or less than two neutrons to bonding customer is not shared with any other.... About the compound aluminum hydroxide in addition to two decimal places, is! One will know that you have taken help for your homework writing help, solution. Plagiarism checking tools, Result will always be 0 % to bonding are a reputable brand that can never sending! Than two neutrons dissolving is called blank throughout the periodic table of the which element in period 2 has the most mass table all kinds of plagiarism ones! To 1 decimal place, both would appear to have a dna band that not! You about the compound aluminum hydroxide 40 electronic configuration 2.8.8.2 vary throughout the periodic table verified. To understand our money back guarantee if the customer is not shared with any other party answer all your,! Totally original and Free from all kinds of plagiarism data a company to. ( VA ) element, it already has a stable electronic configuration level begins filling electrons. And lowest price, Guaranteed price.Our services are of highest quality and lowest price, Guaranteed which two elements the! ) has one orbital for its electrons protons and neutrons to compute the atomic mass of an.. And strontium is 0.95 using paypal though verified gateway for maximum safety no. Have taken help for your Academic paper and Assignments from Academic writers all the. Radiant radiant to nuclear: carbon, nitrogen, and oxygen, whose atomic mass is the lightest metal has... And Assignments from Academic writers all over the world for all subjects, environmental data or health..! Customers on time that our customers 2 and 3 have 8 elements to understand our back... Is to make an electronic device that is not found in the top row ( the period...


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# Thread: [SOLVED] Help! Many algebra problems :(

1. ## 2nd attempt

Originally Posted by Elite00
...

13. Graph the following piecewise function and give the domain, range, and zeros.
f (x ) = {2x + 3, x<4
{x -1, 4 < x < 9

...
Hello,

you have $f(x)=\left\{\begin{array}{l}2x+3,x<4\\x-1,4

I've attached the graph of this function.

From the grap you can see: The domain is $d=(-\infty,4)\ \cup\ (4,9)$. According to the wording of this problem the 4 doesn't belong to the domain.

The range is $r=(-\infty,11)$

There is one zeroat $x=-\frac{3}{2}$

EB

2. Originally Posted by Elite00
...
15. A lab technician is trying to make an 8% solution by combining a 2% and 12% solution. If he is trying to make a 150mL solution, how many mL of each solution should be mixed?
...
Hello,

let x be the amount of the 2%-solution
let y be the amount of the 12%-solution

Then you get 2 simultanous equations:
A: x+y=150
B: 0.02*x+0.12*y=0.08*150=12

Multiply the equation B by 50 and calculate 50*B-A:

5y=450. Thus y = 90. Plug in this result into A. You'll get x = 60.

EB

3. Originally Posted by Elite00
...

20. Solve the following system of equations: { -3x + 6y – 4z = 8
{x + 2z – 4y = -3
{8y=z

...
Hello,

Plug in 8y for z in equation A and B.

$\begin{array}{r}A': -3x - 26y = 8\\B': x + 12y = -3 \end{array}$

Multiply B' by 3 and add A'+3*B'

10y = -1. Thus y = -1/10. Calculate z = -4/z and finally x = -9/5

EB

4. Originally Posted by Elite00
...
21. Solve 4(x+5)^2 = 20. express the answer exactly and if necessary, rounded to the nearest tenth.

22. Factor 2x^2 – 10x – 48 =0 and solve for x

23. Find the exact values of x in the following quadratic equation. 2x^2 – 5x -12 = 0

24. Simplify the following complex number: 3 + i / 2 – 3i

...
Hello,

to 21.)
$4(x+5)^2 = 20\Longleftrightarrow(x+5)^2=5\Longleftrightarrow x+5=\sqrt{5}\vee x+5=-\sqrt{5}$
Thus the exact solutions are: $x=-5+\sqrt{5}\ \vee \ x=-5-\sqrt{5}$
Approximate resultes: x = -2.8 or x = -7.3

to 22.)
$2x^2 - 10x - 48 =0 \Longleftrightarrow 2(x^2-5x-24)=0 \Longleftrightarrow 2(x-8)(x+3)=0$
A produkt is zero if one of the factors is zero. Thus you'll get the solutions: x = -3 or x = 8

to 23.)
Use the formula you know to solve this equation: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{5\pm\sqrt{25+96}}{4}$
$x=\frac{5\pm 11}{4}$. Thus x = 4 or x = -3/2

to 24.) Multiply denominator and numerator with the conjugated(?) value of the denominator:
$\frac{3+i}{2-3i} \cdot \frac{2+3i}{2+3i}=\frac{6+9i+2i+3i^2}{4-(-9)}=\frac{3+11i}{13}$

EB

5. Originally Posted by Elite00
...

16. Graph, shade the feasible region and label the corner points for the following system of inequalities: {y < -2x -2
{y > 1/2x
{x > -3

...
Hello,

have a look at the attached diagram.

EB

Page 2 of 2 First 12


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FEBRUARY 18, 2014

# CALCOS v2.21 Release Notes

These are the changes from calcos version 2.20.1 to "2.21 (2014-02-18)".

### Relevant Trac tickets and PRs:

Trac PR Update
1061 76067 costools.x1dcorr should update the WCS keywords.
1064 76241 Rename some DQ flags in calcos.
1072 76440 Calcos should have an IRAF-independent TEAL interface.
1106 77183 Calcos can fail to write csum for auto/GO wavecal.

### Overview

• When x1dcorr in costools (x1d.py in calcos) is called to extract a 1-D spectrum, the flt and counts files are first recreated from the corrtag file. These files contained WCS keywords that were copied without change from the input corrtag table, and these table-specific keywords are not permitted in image headers. This was fixed by calling the function to populate the spectroscopic keywords.
• A TEAL interface has been added to the calcos source directory, which allows the user to see and edit the calcos parameters interactively (import calcos; from stsci.tools import teal; teal.teal("calcos")).
• The variables used for data quality flags have been renamed to agree with the interpretations of the data quality values for the latest bad pixel table, as described in the Data Handbook.
• A bug was fixed in the code for trapping a missing-row exception. This is relevant primarily when writing a "calcos sum" (csum) file; calcos must trap the exception, write the csum file, and continue processing until all input files have been calibrated at least to the point of writing the csum file.

Other changes:

The __init__.py file was modified to add a TEAL interface to calcos. A help file (calcos.help) was added, and files calcos.cfg and calcos.cfgspc were added in the pars/ subdirectory.
Trac #1072, PR 76440

Changes to calcos.py:

Functions allWavecals and allScience were modified to expand the try sections of try/except statements, to catch possible exceptions in more functions than just basicCal. Also, a finally section was added to close the trailer file. Function processWavecal was modified to include a try/except statement, and this function now returns status.
Trac #1106, PR 77183

Changes to calcosparam.py:

Some of the variable names for data quality flag values were changed, e.g. for value 8, DQ_NEAR_EDGE was changed to DQ_POORLY_CALIBRATED.
Trac #1064, PR 76241:  Rename some DQ flags in calcos.

Changes to cosutil.py:

Function imageHeadertoTable was modified to reorganize and expand the list of (mostly WCS) keywords to be deleted.
Trac #1061, PR 76067

Changes to spwcs.py:

Function deleteKeywords was modified to expand the list of keywords to be deleted.
Trac #1061, PR 76067

Changes to x1d.py:

In function makeFltCounts, call spwcs.SpWcsImage to update the WCS keywords in the flt and counts files.
Trac #1061, PR 76067


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# What is the square root of the Dirac Delta Function?

What is the square root of the Dirac Delta Function? Is it defined for functional integrals? Can it be used to describe quantum wave functions?

\begin{align} \int_{-\infty}^{\infty} f(x)\sqrt{\delta(x-a)}dx \end{align}

• I've tried square roots of families of functions converging to $\delta$ and always found the square roots to converge to identical $0$. The value is probably non-unique, but I think it might be zero quite generally. – Void Sep 15 '14 at 16:56
• In complete agreement with Void's answer. Take it as the square root of the normalized Gaussian with vanishing width: the width increases by sqrt of 2, but the normalization is attenuated so, also by dimensional analysis, fails to normalize the integral to one. The limits go to 0, that is, the integral vanishes when you take your f (x)=1. Of course you may take a properly normalized spiked Gaussian as a wavefunction. – Cosmas Zachos Apr 14 '16 at 16:03
• The momentum-space wavefunction corresponding to an (unnormalizable) plane wave exp( ikx ) is δ(p-k) with similarly terrible normalization. You might, in a moment of playfulness take the square root of the latter as the wavefunction itself, which appears normalized, only if it is vanishing as above. – Cosmas Zachos Apr 14 '16 at 23:03
• Related question on MO: mathoverflow.net/q/235827/13917 – Qmechanic Apr 21 '16 at 18:22

You can think of the Dirac distribution as being an element in some operator valued Banach algebra. One can then use the Riesz calculus (http://en.wikipedia.org/wiki/Holomorphic_functional_calculus) to define an arbitrary holomorphic function of this Dirac delta (or more general distributions).

In particular (much like the Cauchy-Integral Formula) we have, for a Banach algebra $\mathscr{A}$ and holomorphic function $f$, for $a \in \mathscr{A}$:

$f(a) = \frac {1} {2 \pi i} \oint \frac {f(z)} {z - a} d z$ ;

This can in principle be evaluated. For example, you can represent the Dirac delta as a matrix (if you are thinking about finite dimensions). The integration is then fairly straightforward (for the square-root you would set $f(z) = z^{1/2} = e^{\frac {1} {2} \log(z)}$). You will have to be careful about branch cuts for this particular case.

As for quantum wave functions, I could not say. However, this tool is very useful to define Dirac operators. For example, you could consider the algebra $\mathscr{A}$ to consist of differential operators of some dimension. Taking the Klein-Gordon operator $\nabla^2 + m^2$ one can attempt to define square-roots of this operator by evaluating the above integral.

• I know a little about Banach algebras and spaces of distributions, but I don't see how a Dirac distribution is in a Banach algebra. What spaces does the operator map from and to? How do you multiply dirac distributions? Could you elaborate more? Thanks. – Nick Alger Sep 15 '14 at 23:47
• An example of what you are talking about is the exponential of an operator, well known to physicists. Here the evaluation with an operator as an argument is defined plugging it into the the power series of the function, which will converge under suitable circumstances. For a function of a complex variable that is holomorphic in a point $a$, the Cauchy integral formula holds. This again can be used as a way to evaluate a function in an operator under suitable conditions. However, as @NickAlger pointed out, unfortunately we are not in this situation... – doetoe Sep 16 '14 at 8:14
• ... Our Dirac distribution is a linear functional on a function space, not an operator from the space to itself. Rather than a matrix, in the finite dimensional case it would be a row vector. – doetoe Sep 16 '14 at 8:15

The space of locally integrable functions is dense in the space of distributions in the topology in which a sequence of functions $(f_n)$ converges to a distribution $T$ if the integrals $\int f_n\phi dx$ converge to $T(\phi)$ for all test functions $\phi$, typically the compactly supported smooth functions. In this sense the Dirac distribution is defined by $\delta(\phi) = \phi(0)$, often written as $\int f(x)\delta(x) dx = f(0)$.

This means that to evaluate a distribution, we could take a sequence of ordinary functions converging to it, and compute the limit. In our case we could take a sequence of positive functions converging to the Dirac delta, take their square roots, and evaluate the limits. It looks to me like this is identically 0, not very useful.

That doesn't mean that in other generalized function spaces this couldn't be given a more useful meaning, see e.g. this article (pdf) (that I didn't read), with the title "Generalized Functions for Applications" and abstract

A simple rigorous approach is given to generalized functions, suitable for applications. Here, a generalized function is defined as a genuine function on a superset of the real line, so that multiplication is unrestricted and associative, and various manipulations retain their classical meanings. The superset is simply constructed, and does not require Robinson's nonstandard real line. The generalized functions go beyond the Schwartz distributions, enabling products and square roots of delta functions to be discussed.

I don't think the square root of the Dirac delta is well defined. if you have some distribution $g$ such that $g^2 = \delta$, that requires the wavefront set of $\delta$ to be a subset of the wavefront of $g$, meaning that the square root has at least the same wavefront set as the Dirac distribution, which would prevent it from being a well defined distribution.

I'll try to answer the question of what the square root of a delta function is by telling you what it can do in the real world.

I have used the idea of $\sqrt \delta$ to define power distributions of functions of infinite energy (the integral of the square over all reals), but finite power (energy per unit time). I'm sure others have too, but I have been unable to find any examples so far. An example of such a function is $\sin \omega t$. Its Fourier transform is two sharp deltas. The energy spectrum is undefined, since it requires squaring the Fourier transform. But it is really obvious what the power spectrum should look like—two deltas at $\pm \omega$. After much mathing and fiddling with limits, I always end up with this answer:

$\rho(\omega) = \frac 1 \tau |\sqrt \delta * F|^2,$

where $F$ is the Fourier transform of the function whose power spectrum it is I'm trying to find and $\tau$ is the morally superior circle constant. So in this usage, $\sqrt \delta$ used as a convolution kernel on an energy spectrum turns it into a power spectrum. Try it on $\sin \omega t$ and you'll end up with twin delta peaks and the right amount of total power. Try it on Gaussian white noise and you'll get a flat (but locally finite) power density out to infinity. It also works on a pulse train and on arbitrary periodic signals.

I have also much less fruitfully used the square root of the Dirac delta to define a square-integrable function concentrated at a point. Such a function could be used to describe the state of a quantum particle located at a point, even though it isn't strictly possible to localise a quantum particle in this way.


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# Math Help - vectors and mass

1. ## vectors and mass

A particle of mass m kg is acted on by two forces F1 and F2 with magnitudes 3root5 newtons and root5 newtons ad drections parallel to the vectors i+2j and i-2j respectively

The particle is initially at a position given by vector 2i+j

iv calculated the cartesian components of F1 and F2
F1 = 3i+6j
F2 = i 2j

iv also calculated the cartesian component of the total force F1+F2 = (3i+6j)+(i-2j) = 4i +4j

however the part im struggling on is that now the particle is of mass 1kg and is initially at rest, i have to use newtons 2nd law to write down an equation of motion and find the position of the particle after 1second.

so far iv tried:
F=ma
F1+F2= 1a
therefore a = 4i+4j but then i dont know how to find the new posistion ...can anyonehelp thankz

2. Originally Posted by dopi
A particle of mass m kg is acted on by two forces F1 and F2 with magnitudes 3root5 newtons and root5 newtons ad drections parallel to the vectors i+2j and i-2j respectively

The particle is initially at a position given by vector 2i+j

iv calculated the cartesian components of F1 and F2
F1 = 3i+6j
F2 = i 2j

iv also calculated the cartesian component of the total force F1+F2 = (3i+6j)+(i-2j) = 4i +4j

however the part im struggling on is that now the particle is of mass 1kg and is initially at rest, i have to use newtons 2nd law to write down an equation of motion and find the position of the particle after 1second.

so far iv tried:
F=ma
F1+F2= 1a
therefore a = 4i+4j but then i dont know how to find the new posistion ...can anyonehelp thankz
You have got the acceleration right.
You can use the equation $x_f=x_i + v_it + \frac{1}{2}at^2, v_i=0, t=1$
Substituting the value, you get
$x_f=4i + 3j$

Keep Smiling
Malay

3. ## .thankz

.........................thankz