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Question: A bowling ball of mass 8.3 kg moves in a straight line at 1.96 m/s. How fast must a Ping-Pong ball of mass 1.084 g move in a straight line so that the two balls have the same momentum?

Momentum is calculated by multiplying the mass of an object by its velocity. To have the same momentum both objects need to, therefore, follow this principle: Mass of Bowling Ball * Velocity of Bowling Ball = Mass of Ping Pong Ball * Velocity of Ping Pong Ball We know that the mass of the bowling ball is 8.3kg and it moves at 1.96m/s. The mass of the ping pong ball is 1.084g. Let's denote the velocity of the ping pong ball as x m/s. First, convert the mass of ping pong ball from grams to kilograms because the mass of bowling ball is given in kilograms: 1.084 grams = 0.001084 kg So according to the principle of equal momentums: 8.3kg * 1.96m/s = 0.001084 kg * x m/s Hence: x m/s = (8.3kg * 1.96m/s) / 0.001084 kg If you calculate the expression on the right, you will find the required velocity of the ping pong ball. It's always important to ensure that you use the same units of measure while doing such calculations to get the correct results.

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