Explanation Given: The mass of cart A is equal to the mass of cart B, m A = m B The initial velocity of cart A is v A = + 10 m / s . The initial velocity of cart B is v B = + 4 m / s . Formula used: The conservation of momentum for combined bodies is given by ( m 1 + m 2 ) v cm = ( m 1 + m 2 ) v ′ cm Here, v cm is the initial velocity of the center of mass of the system and v ′ cm is the final velocity of the center of mass of the system. The initial momentum of system is given by p i = m 1 v 1 + m 2 v 2 The initial momentum of center of mass of system is given by p i = ( m 1 + m 2 ) v cm Calculation: The initial momentum of system is calculated as p i = m 1 v 1 + m 2 v 2 = m ( 10 m / s ) + m ( 4 m / s ) = m ( 14 m / s

OER 2016 Edition

ISBN: 9781947172173

Author: OpenStax

Publisher: OpenStax College

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Chapter 8, Problem 20TP

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The velocity of the center of mass of the system before and after the collision and the effect of friction on it.

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Chapter 8, Problem 19TP

Chapter 8, Problem 21TP

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The velocity of the center of mass of the system before and after the collision and the effect of friction on it.

Solution Summary: The author calculates the velocity of the center of mass of a system before and after the collision and the effect of friction on it.

The velocity of the center of mass of the system before and after the collision and the effect of friction on it.

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