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A basketball has a mass of 1 kg and is traveling 15 m/s.  How fast would a 5 kg bowling ball have to travel to have the same momentum?

Verified Answer :

since
1st P=2nd P
115=5v
v=3

View image howudoing

Explanation:

Momentum is measured as the product of mass and velocity.

Mathematically,     p = m × v

where,    p = momentum

              m = mass

              v = velocity

Therefore, calculate the momentum of basket ball as follows.

                    p = m × v

                       = 1 kg × 15 m/s

                       = 15 kg m/s

Hence, when bowling ball have the same momentum, that is, 15 kg m/s then calculate the velocity of bowling ball as follows.

                     p = m × v

 or,               v = \(\frac{p}{m}\)

                        = \(\frac{15 kg m/s}{5 kg}\)    

                        = 3 m/s

Thus, we can conclude that the velocity of bowling ball is 3 m/s.