A Beautiful Problem

A locomotive of mass mm starts moving so that its velocity varies according to the law v=ksv=k \sqrt{s}, where kk is a constant and ss is the distance covered. Find the total work performed by all the forces which are acting on the locomotive during the first tt seconds, after the beginning of motion.

  • If W=mkαtβμ W=\large\frac { m{ k }^{ \alpha }{ t }^{ \beta } }{ \mu } , find α+β+μ\alpha +\beta +\mu .
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