. A falling rubber ball of mass 0.025 kg strikes the ground traveling straight down at 4.0 m/s. Find the magnitude of the impulse that the ground gives to the ball if a) the ground is soft and the ball stops dead

b) the ground is hard and the ball bounces straight back at 2.0 m/s.

Given that,

Mass of the ball, m = 0.025 kg

Initial speed, u = 4 m/s

To find,

Impulse when (a) the ground is soft and the ball stops dead

(b) the ground is hard and the ball bounces straight back at 2.0 m/s.

Solution,

Impulse = change in momentum

J = m(v-u)

(a) u = 0 (as it stops)

J = 0.025(4-0)

J = 0.1  N-m

(b) v = 2 m/s

J = 0.025(4-2)

= 0.05 N-m

Therefore, this is the required solution.

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