A block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (with 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 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. What is the magnitude F→ ?
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a
2N
b
4N
c
8N
d
16 N
answer is C.
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Detailed Solution
At equilibrium, r = 1mF=kx and Fx−12kx2=ΔKE=4⇒F=8N