An ball bearing of mass m rolls along a horizontal rail at velocity vo and strikes a stationary ball bearing of mass M, which then recoils with a velocity v1 after a perfectly elastic collision. By considering special cases for the relative values of m and M, you can determine which of the following expressions for v1 is correct.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 60P: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected...
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An ball bearing of mass m rolls along a horizontal rail at velocity vo and strikes a
stationary ball bearing of mass M, which then recoils with a velocity v1 after a
perfectly elastic collision. By considering special cases for the relative values of m
and M, you can determine which of the following expressions for v1 is correct.
You should not need to solve equations for the whole system.
v1 = v0 M/m
v1 = 2 vo m/M
v1= v0 m/(m+M)
v1 = 2 vo m/(m+M)
Transcribed Image Text:An ball bearing of mass m rolls along a horizontal rail at velocity vo and strikes a stationary ball bearing of mass M, which then recoils with a velocity v1 after a perfectly elastic collision. By considering special cases for the relative values of m and M, you can determine which of the following expressions for v1 is correct. You should not need to solve equations for the whole system. v1 = v0 M/m v1 = 2 vo m/M v1= v0 m/(m+M) v1 = 2 vo m/(m+M)
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