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

Options

A. `S^(2//3)`
B. `S^(-5//3)`
C. `S^(1//2)`
D. `S^(0)`

Answer

D

Explanation

(d) `Fprops^(-1//3)" or "a props^(-1//3)`
`or" "vdv prop s^(-1//3)ds " "(:' a=v.(dv)/(ds))`
Integrating we have `v^(2) prop s^(2//3) or v prop s^(1//3)`
Now, power, `P prop F.v prop s^(-1//3).s^(1//3) or P prop s^(0)`