(a) To determine The velocity of both cars ( v ′ ) after coupling is completed. Explanation Given information: The weight of the car A ( W A ) is 25 ton. The weight of the car B ( W B ) is 50 ton. The initial velocity of the car B ( v B ) is at rest which is zero. The velocity of the car A ( v A ) is 2.5 mi/h. The coefficient of kinetic friction ( μ k ) is 0.30. Calculation: Assume that the 25-ton moving railroad car as car A and the 50-ton stationary car as car B . Calculate the mass of the rail car A ( m A ) using the formula: m A = W A g Here, g is the acceleration due to gravity. Substitute 25 tons for W A and 32.2 ft / s 2 for g . m A = 25 tons 32.2 ft / s 2 = 25 32.2 × ( 2 , 000 lbs 1 ton ) = 1553 lb . s 2 / ft Calculate the mass of the rail car B ( m B ) using the formula: m B = W B g Substitute 50 tons for W B and 32.2 ft / s 2 for g . m B = 50 tons 32.2 ft / s 2 = 50 32.2 × ( 2 , 000 lbs 1 ton ) = 3106 lb . s 2 / ft Convert the initial speed of the railroad car A ( v A ) from mi / hr to ft / s : v A = 2.5 mi / hr = 2 (b) To determine The time ( t ) it takes for both cars to come to rest.

11th Edition

ISBN: 9781259633133

Author: BEER

Publisher: MCG

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Chapter 13.3, Problem 13.145P

(a)

To determine

The velocity of both cars (v′) after coupling is completed.

(b)

To determine

The time (t) it takes for both cars to come to rest.

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Chapter 13.3, Problem 13.144P

Chapter 13.3, Problem 13.146P

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