Question

A ball with a mass of 0.604 kg is moving to the right at a velocity of 11.6 m/s. It collides head-on with another ball, ball b, which is initially at rest. After the collision, ball a moves to the right at a velocity of 2.09 m/s. What is the mass of ball b?

Answer 1

To find the mass of ball B, we can use the principle of conservation of momentum. Before the collision, the momentum of ball A is given by mass of A multiplied by its initial velocity, and the momentum of ball B is zero since it is initially at rest. After the collision, both balls stick together and move with a final velocity.

Step-by-step explanation:

To find the mass of ball B, we can use the principle of conservation of momentum. Before the collision, the momentum of ball A is given by mass of A multiplied by its initial velocity, and the momentum of ball B is zero since it is initially at rest. After the collision, both balls stick together and move with a final velocity. We can equate the initial momentum to the final momentum to solve for the mass of B.

Momentum of A before collision = mass of A * initial velocity of A = 0.604 kg * 11.6 m/s

Momentum of A and B after collision = (mass of A + mass of B) * final velocity

Setting these two equations equal to each other and solving for the mass of B, we get:

0.604 kg * 11.6 m/s = (0.604 kg + mass of B) * 2.09 m/s

Solving for mass of B, we find that it is approximately 0.543 kg.