Calculate Ping-Pong Ball Speed to Match Momentum with Bowling Ball

What is the momentum of the bowling ball?

Given: mass of bowling ball = 10.2 kg, velocity of bowling ball = 3.03 m/s

How fast must a Ping-Pong ball of mass 3.309 g move to have the same momentum?

Answer:

The Ping-Pong ball must move at a speed of 9341.19 m/s to have the same momentum as the bowling ball.

To solve this problem, we first calculate the momentum of the bowling ball using the formula:

Linear Momentum (P) = mass (m) * velocity (v)

Given the mass of the bowling ball is 10.2 kg and its velocity is 3.03 m/s:

P = 10.2 kg * 3.03 m/s = 30.91 kg*m/s

Now, we know the mass of the Ping-Pong ball is 0.003309 kg. To find the speed (v) of the Ping-Pong ball to match the momentum of the bowling ball, we rearrange the formula:

v = P / m

Substitute P = 30.91 kg*m/s and m = 0.003309 kg:

v = 30.91 kg*m/s / 0.003309 kg = 9341.19 m/s

Therefore, the Ping-Pong ball must move at a speed of 9341.19 m/s to have the same momentum as the bowling ball.