A force Facting on a body depends on its displacement Sas F prop S^(-1//3). The power delivered by F will depend on displacement as

A force Facting on a body depends on its displacement Sas F prop S^(-1

1.	A force Facting on a body depends on its displacement Sas F prop S^(-1//3). The power delivered by F will depend on displacement as
Answer» `S^(2//3)` `S^(1//2)` `S` `S^@` Solution :As `F PROP S^(-1//3)` `:.` ACCELERATION, `a prop S^(-1//3)` But `a = (DV)/(dt) = (dv)/(dS) (dS)/(dt) = (dv)/(dS) v :. V (dv)/(dS) prop S^(-1//3).` Intergrating both sides, we find `v^2 prop S^(2//3) or v prop S^(1//3)` As `P = Fv` `:. P prop (S^(-1//3))(S^(1//3)) = S^(0)`. i.e., power is independent of S.