A block of mass is initially at rest on a horizontal surface that offers negligible…
PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A block of mass m is initially at rest on a horizontal surface that offers negligible friction. Starting at t=0, a constant horizontal force of magnitude F acts on the block for a time interval 0≤t≤T.
(a) Derive an expression for the instantaneous power P(t) delivered to the block as a function of time.
(b) Using your expression for P(t), obtain an algebraic expression for the total work done on the block during the interval 0≤t≤T.
(c) Show that your result from part (b) is consistent with the kinetic energy of the block at time T, and state what this consistency implies about the relationship between power, work, and kinetic energy.