Show that the speed of a body of mass

PHYSICS · Subjective · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

Show that the speed vv of a body of mass mm, which starts from rest on a smooth horizontal track under the action of a machine delivering constant power PP, is given by v=2Ptmv=\sqrt{\dfrac{2Pt}{m}} where tt is the time for which the power acts.

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