a block of mass m lies on a horizontal frictionless surface and is attached to o

Question

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 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 Fig. 7-35.

http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c07/pict_7_38.gif


The scale of the figure's vertical axis is set by Ks= 6.0 J. (a) What is the magnitude of F (b) What is the value of k?

Explanation / Answer

At x = 1,

Equating work done and energy

6+k/2 = F*1

at x = 2,

Equating forces since body is at rest.

2*k = F

SOlving, K = 2.4 N/m

F = 4.8N

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