Question

A 2.0kg ball rolls to the right at 3.0m/s. A 4.0kg ball rolls to the left at 2.0m/s. What are the individual amounts of momentum for each ball and what is the total amount of momentum after they collide?

Answer 1

The individual amounts of momentum for the balls are 6.0 kg·m/s and -8.0 kg·m/s. The total amount of momentum after the collision is -2.0 kg·m/s.

Step-by-step explanation:

To calculate the individual amounts of momentum for each ball, we can use the formula:

Momentum = Mass x Velocity

For the 2.0kg ball rolling to the right at 3.0m/s:

Momentum = 2.0kg x 3.0m/s = 6.0 kg·m/s

For the 4.0kg ball rolling to the left at 2.0m/s:

Momentum = 4.0kg x (-2.0m/s) = -8.0 kg·m/s

To find the total amount of momentum after the collision, we can add the individual momenta together:

Total momentum = 6.0 kg·m/s + (-8.0 kg·m/s) = -2.0 kg·m/s