I am working on homework but i cannot figure out what is wrong

F = kx where F is the force in newtons and k is the spring constant in newtons per meter. The potential energy stored in the compressed spring is gived by E = 1 2 kx2 where E is the energy in joules. Plot energy E as a function of x (x ∈ [0, 10]) for two different spring constants k = 20N/m, 40N/m . Requirements are as follows: 1. Use different lines and markers for different k values(5 points). 2. Have labels on both axes (4 points), legends for different k values (4 points). 3. Use proper font size, line width and marker size (4 points). 4. In the PDF document, have a caption describing the figure (3 points) ------R2016b-----

x = [0: 1: 10];
k = [20 40];
F = k.* x 
E = 0.5*k.*x.^2

I know how to plot and do other following things.

But i have no idea how to make this right

[madhan ravi]

what do you mean by right ?

[Jaeyoung Lee]

Matrix dimensions must agree.

Error in untitled2 (line 4)

F = k.* x

keep getting this

Answer 1

[Walter Roberson]

Use

x = linspace(0,10).';

Provided you are using R2016b or later.

[Jaeyoung Lee]

Would you please solve this question for me?

I just started to learn this and not sure where to begin..

[Walter Roberson]

h = plot(x,E)

h will be a vector of two line() objects. Set their properties appropriately.

Answer 2

[RAMAKANT SHAKYA]

whenever you do array multiplication the no of elements in both array must be same or multiply with a constt number with array or matrix. this is the error is here but i can't give you exact answer you this question is the part of your homework .so i suggest you that make two case for the two value of spring constant.

in first case take value of k=20; than after do array multiplication it is the simply constt multiplication in to matrix

like

x=0:10;

k=20;

f=k.*x;

and soon on. i hope this will help you

[Jaeyoung Lee]

when do i add k = 40?

[RAMAKANT SHAKYA]

repeat same only changing the value the value to k store data in diffrent variable like F1,E1 and F2,E2 and plot on same graph as your requirements.

[Jaeyoung Lee]

How about graph?

Do i simply write plot (x1,k1) and (x2 k2)?

[RAMAKANT SHAKYA]

no you can plot by writing

plot(x,F1) and plot(x,E1) for first case and similarly for second by F2 and E2 in the place of f1 and e1. to plot on same graph use hold on or any other fuction according to your requirement.