Question

A force F acting on a body depends on its displacement S as F proportional to S to the power minus 3 by 2 . The power delivered by F will depend on displacement as
1. S to the power 2 by 3
2. S to the power minus 5 by 3
3. S to the power half
4. S

Answer 1

Answer:s to the power of -7/3

Explanation:

Power is force * velocity

P=x(power-3/2)*velocity.......... (1) equ

Here we need to find velocity from given force

F props x(-3/2power)

accleration props x(-3/2power) if mass is constent

Vdv/dx=x(-3/2power) integration of acceleration gives velocity w. R. T distance

Vdv=x(-3/2power)dx

V(square) props x{(-3/2power)+1}

V props x(-1/4power) {remove all constents}

Putting in equation 1

Ans power props x(-7/4 power)