Answered: Two objects collide head on in an…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 70A

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Question

Two objects collide head on in an elastic collision. Assume they have equal masses but unequal velocities, such that the one coming in from the right is moving at 6 m/s toward the left, and the one coming in from the left is moving at 2 m/s toward the right.

After the collision, what is the velocity of the one that came in from the left? (Use + to the right and - to the left to distinguish direction in your answer.) Answer in m/s.

Expert Solution

Step 1

During elastic collision kinetic energy of system conserved.

hence,

$m_{1} v_{1 i}^{2} + m_{2} v_{2 i}^{2} = m_{1} v_{1 f}^{2} + m_{2} v_{2 f}^{2} 1) w h e r e, m_{1} = m a s s o f o b j e c t 1 m_{2} = m a s s o f o b j e c t 2 v_{1 i} = i n i t i a l v e l o c i t y o f a n o b j e c t 1 v_{2 i} = i n i t i a l v e l o c i t y o f a n o b j e c t 2 v_{1 f} = f i n a l v e l o c i t y o f a n o b j e c t 1 v_{2 f} = f i n a l v e l o c i t y o f a n o b j e c t 2$

During elastic collision momentum of system conserved.

hence,

$m_{1} v_{1 i}^{} + m_{2} v_{2 i}^{} = m_{1} v_{1 f}^{} + m_{2} v_{2 f}^{} 2)$

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