Question

If the time taken to bring the ball to rest from a certain velocity v is reduced to half, then what will be the changes in values of :
(i) Initial and final momentum (ii) Change in momentum (iii) Rate of change of momentum
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Answer 1

Answer:

Let a body of mass m and velocity v is brought to test in time t.

Initial momentum = mv

Final momentum = m× 0 = 0 ( as the ball is brought to rest its velocity is zero)

Change in momentum = final momentum - initial momentum= 0 - mv

Time in which ball is brought to rest = t

Rate of change in momentum = - m v/t

Force F = Rate of change of momentum =- mv/t

Impulse = Force F × t = change in momentum = -mv