1.

A variable force F acts on a body which is free to move. The displacement of the body is proportional to t 3, where t = time. The power delivered by F to the body will be proportional to (a) t (b) t2 (c) t3 (d) t4

Answer»

Correct Answer is: (c) t3

Displacement = s = kt3 where k = constant.

v = s = 3kt2 a = v = 6kt F = ma = 6mkt

Power = Fv = 18mkt3 ∝ t3



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