In the first figure, a block of mass m lies on a horizontal frictionless surface
ID: 2177652 • Letter: I
Question
In the first figure, 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 the second figure. The scale of the figure's vertical axis is set by Ks= 7.0 J. (a) What is the magnitude ofExplanation / 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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