A force F acting on a body depends on its displacement s as F ∝ s -1 / 3 . The power delivered by F will depend on displacement as

Question

A force F acting on a body depends on its displacement s as F ∝ s -1 / 3 . The power delivered by F will depend on displacement as, s 2 3, s - 5 3, s 1 2, s 0

MARKS App · Accepted Answer

F ∝ s -1 / 3 i.e., acceleration a ∝ s - 1 / 3 or v dv ds = Ks - 1 / 3 or v 2 ∝ s 2 / 3 or v ∝ s 1 / 3 Now P = F . v or P ∝ s - 1 / 3 . s 1 / 3 or P ∝ s 0 i.e., power is independent of s.

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