Explanation Given information: The mass ( m A ) of the car A is 1,800 kg. The mass ( m B ) of the car B is 1,700 kg. The mass of the flatcar is 20 Mg. The relative speed of the car A ( v A / F ) relative to flatcar is 2.35 m/s . The relative speed of the car A ( v B / F ) relative to flatcar is 1.175 m/s . Calculation: Equate the initial velocity of car A ( v A ) 0 , car B ( v A ) 0 and flatcar ( v F ) 0 as below: ( v A ) 0 = ( v B ) 0 = ( v F ) 0 Equate the initial momentum of the system as below: m A ( v A ) 0 + m B ( v B ) 0 + m F ( v F ) 0 = 0 Consider the v A , v B , and v F be the velocities required at after acceleration. Consider positive for right direction. At the time of consideration, no horizontal external forces acting so the momentum is conserved, m A v A + m B v B + m F v F = 0 Substitute 1800 kg for m A , 20 Mg for v F , and 1700 kg for m B

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 14, Problem 14.111RP

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The velocity (vF) of the flatcar when the cars are moving at constant speeds.

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Chapter 14, Problem 14.110RP

Chapter 14, Problem 14.112RP

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Chapter 14 Solutions

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - Prob. 14.3P Ch. 14.1 - Prob. 14.4P Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...

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The velocity ( v F ) of the flatcar when the cars are moving at constant speeds.

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The velocity (vF) of the flatcar when the cars are moving at constant speeds.

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Chapter 14 Solutions