InterviewSolution
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InterviewSolution
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.9 A locomotiveofmassmstartsmovingsothat its velocity varies according to the lawv = k's where k is constant and s is thedistance covered. Find the total workperformed by all the forces which are actingon the locomotive during the first t secondsafter the beginning of motion.(A) w = 1mk4t2.(c) w = ām k4t4(B) W =글m2k4t2(D) W =음mk4t4 |
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Answer» option a)Ds/dt = ksqrt(s) s^(-1/2) ds = k dt s^(1/2) / (1/2) = kt 2sqrt(s) = kt s = k^2 t^2 / 4 a = d2s / dt2 = k^2 / 2 dW = F dS = ma dS Since the force is constant, W = ma integral(dS) = ma S = (mk^2 / 2) x (k^2 t^2 / 4) |
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