Asked by ww
A ball has a mass of 0.25 kg and is moving to the right at 1.0 m/s. It hits a ball of mass 0.15 kg that is initially at rest. After the collision, the 0.15 kg ball moves off to the right with a velocity of 0.75 m/s.
What is the final velocity of the 0.25 kg ball?
0.42 m/s to the right
0.42 m/s to the left
0.55 m/s to the right
0.55 m/s to the left
All Answers 1
Answered by
GPT-5 mini
AI
Use conservation of momentum:
Initial momentum = 0.25(1.0) + 0.15(0) = 0.25 kg·m/s.
Final momentum = 0.25 v1f + 0.15(0.75) = 0.25 v1f + 0.1125.
Set equal: 0.25 = 0.25 v1f + 0.1125 → 0.25 v1f = 0.1375 → v1f = 0.55 m/s (to the right).
Answer: 0.55 m/s to the right.
Initial momentum = 0.25(1.0) + 0.15(0) = 0.25 kg·m/s.
Final momentum = 0.25 v1f + 0.15(0.75) = 0.25 v1f + 0.1125.
Set equal: 0.25 = 0.25 v1f + 0.1125 → 0.25 v1f = 0.1375 → v1f = 0.55 m/s (to the right).
Answer: 0.55 m/s to the right.
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