The figure below shows an overhead view of the initial configuration of two puck

Question

The figure below shows an overhead view of the initial configuration of two pucks of mass m on frictionless ice (position [a]). The pucks are tied together with a string of length l and negligible mass. At time t = 0, a constant force of magnitude F begins to pull to the right on the center point of the string. At time t, the moving pucks strike each other and stick together. At this time, the force has moved through a distance d, and the pucks have attained a speed v (position [b]). What is v in terms of F, d, l, and m? How much of the energy transferred into the system by work done by the force has been transformed to internal energy? (Use the following as necessary: m, t, F, d, and l.)

Explanation / Answer

F = 2ma a = F/2m v = u + a t V = Ft/2m s = ut + 0.5 a t^2 2d = a t^2 t = sqrt (2d/a) = sqrt (4dm/F) v = Ft/2m = (F/2m)[sqrt (4dm/F)] change in energy = Energy final - Energy initial = Energy final = mV^2

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