A bowling ball of mass 5.8 kg moves in a straight line at 4.34 m/s How fast must a Ping-Pong ball of mass 2.214 g move in a straight line so that the two balls have the same momentum?

Answer in units of m/s.

The velocity of the ping-pong ball is, v = 11369.47 m/s

Explanation:

The given data,

The mass of the bowling ball, M = 5.8 kg

The velocity of the ball, V = 4.34 m/s

The mass of the ping-pong ball, m = 2.214 g

= 0.002214 kg

The velocity of the ping-pong ball, v = ?

The momentum of the bowling ball,

MV = 5.8 x 4.34

= 25.172 kg m/s

Since the momentum of the balls are equal

MV = mv

v = MV/m

Substituting,

v = 25.172 / 0.002214

= 11369.47 m/s

Hence, the velocity of the ping-pong ball is, v = 11369.47 m/s