A body is moving along a straight line by a machine delivering constant power. The distance covered by the body in time t is proportional to t^n, then n is ??

1 Answer
Oct 29, 2017

n = 3/2

Explanation:

Assuming no friction losses and maintaining the same potential energy

W = (dE)/(dt) = C_0 so

E = C_0 t = 1/2mv^2 Mechanical Kinetic Energy.

d = int v dt = int (2C_0)/m sqrt t dt = (2C_0)/m int sqrtt dt = 2/3 (2C_0)/m t^(3/2) = k t^(3/2)