A ping pong ball and a bowling ball are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesThe ping pong ballThe bowling ballEqual amounts for both
Question
A ping pong ball and a bowling ball are moving with the same momentum. Which has the greater kinetic energy?Group of answer choicesThe ping pong ballThe bowling ballEqual amounts for both
Solution
The ping pong ball has the greater kinetic energy.
Here's why:
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Momentum (p) is the product of mass (m) and velocity (v), p = mv. Given that both balls have the same momentum, the ball with the smaller mass must have a higher velocity.
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Kinetic energy (KE) is given by the formula KE = 1/2mv^2. This means that kinetic energy is directly proportional to the square of the velocity.
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Since the ping pong ball has a higher velocity (as established in step 1), when you square this velocity to calculate kinetic energy, the ping pong ball will have a greater kinetic energy than the bowling ball.
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