posted by Jin on .
In Figure (a), a block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (spring constant k) whose other end is fixed. The block is initially at rest at the position where the spring is unstretched (x = 0) when a constant horizontal force vector F in the positive direction of the x axis is applied to it. A plot of the resulting kinetic energy of the block versus its position x is shown in Figure (b). The scale of the figure's vertical axis is set by Ks = 2.4 J and the scale of the figure's horizontal axis is set by xmax = 2.8 m.
| Ks| / \
a) |xxxx b) |/ \x=2.8m
figure a) a box connected to the wall by a spring.
figure b) a graph of K over x where K is 0 at x=0 and at x = 2.8. Ks = 2.4 J
1) What is the magnitude of F?
2) What is k(spring coefficient)?
Is there a possiblity you can post the drawing on your website?
I figured it out. All you need to do is use Wnet = Wforce + Wspring = Kf - Ki twice. Once for the entire displacement Kf - Ki = 0 and once for half way where Kf - Ki = 2.4. Both times you will have a k(spring constant term) in the equation and if you solve for them and set equal you can solve for Force. Thanks anyway bobpursley.
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