Question

A body of mass 3 kg acted upon by a constant force is
displaced by S metre, given by relation S = 1/3t^2 where
t is in second. Power of the force is :
(1) constant
(2) linearly increases with time
(3) Increases with time as t3/2
(4) Increases with time as t1/2
-tis​

Answer 1

The answer would be (b)....

Refer the attachment for the solution.....

Hope u get that right

Answer 2

Given:

mass of a body (m) = 3kg

distance covered = S meter = 1/3t²

Time taken = t sec

Force acted upon is constant.

Power of the force (P) =?

Solution:

Using the formula of power,

P = Workdone /Timetaken  

P = F×d/t    (Workdone = Force ×distance)

P= m×a×S/t

P = 3×0×1/3t²/t       (For constant apllied force, acceleration is 0)

P = 0

P = constant

Hence, the power of the force is constant.