Abowling 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

i already answered it by 34/s