Question

The speed of the fastest pitched baseball was 45 m/s, and the ball’s mass was 145 g. How fast would a 59 g ball have to travel to have the same amount of momentum?
110 m/s
75 m/s
87 m/s
100 m/s

Answer 1

59 g ball will travel upto 110 m/s

A. 110 m/s

Explanation:

Given datas are as follows

Speed of the pitched baseball  = 45 meters/second

Mass of the baseball  = 145 gram

Mass of the assumed ball  = 59 gram

Both the balls travelled in the same momentum

Formula to find the momentum of an object is,

Momentum (p) = Mass (m) × velocity (v)  (unit is kilogram meter per second (kg-m/s))

Momentum = 145 × 45 kilogram meter per second

Momentum = 6525 kilogram meter per second

Now calculate the speed of a ball with mass 59 g to have the momentum of about 6525 kilogram meter per second

Speed = momentum ÷ mass (meters per second)

Speed = 6525 ÷ 59 (meters per second)

Speed = 110 meters per second

Therefore a 59 gram (g) ball have to travel at a speed of 110 meters per second to have the momentum of 6525 kilogram-meter per second.