A rubber ball with a mass of 0.175 kg is dropped from rest. From what height (in m) was the ball dropped, if the magnitude of the ball's momentum is 0.740 kg · m/s just before it lands on the ground?

0.910 m

Explanation:

The momentum of the ball before it hits the ground is its final momentum.

m is the mass of the ball and is the final velocity.

The motion of the ball is under gravity, dropping from rest.

The initial velocity, , is 0 m/s because it is dropped.

Acceleration of gravity, g, is 9.8 m/s².

The height is denoted by h.

We use the equation of motion:

(We are taking g as positive here).

The was dropped from a height of 0.912m

Explanation: Please see the attachments below

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