Question

Two baseball players are running for the same pop fly. Bob has a mass of 65 kg and is moving to the right at 3 m/s, and Allen has a mass of 75 kg, moving at an unknown speed. If they collide and come to rest, what was Allen’s velocity?

A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s

Answer 1

The final velocity of Allen after the collision is -2 m/s.

Step-by-step explanation:

The final velocity of mass B after the collision can be found using the principles of conservation of momentum.

According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.

Since the two players collide and come to rest, their momentum after the collision is zero. Therefore, the total momentum before the collision must also be zero. This can be calculated using the formula:

Initial momentum of Bob + Initial momentum of Allen = 0

The initial momentum of Bob is given by his mass (65 kg) multiplied by his velocity (3 m/s). The initial momentum of Allen can be calculated by solving the equation:

65 kg * 3 m/s + 75 kg * V = 0

After solving for V, we find that Allen's velocity after the collision is -2 m/s.