A 4-kilogram ball moving at 8 m/s to the right collides with a 1-kilogram ball at rest. After the collision, the 4-kilogram ball moves at 4.8 m/s to the right. What is the velocity of the 1-kilogram ball?

Conservation of momentum: total momentum before = total momentum after
Momentum = mass x velocity
So before the collision: 4kg x 8m/s = 32 1kg x 0m/s = 0 32+0=32
Therefore after the collision 4kg x 4.8m/s = 19.2 1kg x βm/s = β 19.2 + β = 32
Therefore β = 12.8 m/s

Answered by kltyuiop | 2024-06-10

The velocity of the 1-kilogram ball after the collision is 12.8 m/s to the right, calculated using the conservation of momentum. The total momentum before the collision equals the total momentum after the collision. By solving the equations for momentum, we find the final velocity of the 1-kilogram ball.
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Answered by kltyuiop | 2024-12-23