(a) Explanation Write the equilibrium condition for the smaller block. F = f + m a Here, F is the external force applied on the smaller block, f is the frictional force, m is the mass of the smaller block and a is the acceleration of the smaller block. Write the expression to calculate the frictional force. f = μ k m g Here, μ k is the co-efficient of kinetic friction and g is the acceleration due to gravity. Rewrite the equilibrium condition by using the above equation. F = μ k m g + m a (I) Write the expression to calculate the equilibrium condition for larger block. M a ′ = f Here, M is the mass of the larger block and a ′ is the acceleration of the larger block. Rewrite the above equation using the expression for f . M a ′ = μ k m g (II) Write the expression to calculate the distance travelled by the smaller block on the larger block. D − d = L (III) Here, D is the distance moved by the larger block, d is the distance moved by the smaller block and L is the distance moved by the smaller block on the larger block. Write the expression to calculate the distance travelled by the larger block. D = 1 2 a ′ t 2 (IV) Here, t is the time taken for the motion (which is same for the smaller block). Write the expression to calculate the distance travelled by the smaller block. d = 1 2 a t 2 (V) Here, d is the distance travelled by the smaller block. Use the equations (V) and (IV) to rewrite the equation (III). 1 2 a ′ t 2 − 1 2 a t 2 = L (VI) Conclusion: Substitute 0 (b) To determine The distance moved by the larger block.

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Chapter 5, Problem 103CP

(a)

To determine

The time required for the small block to reach the other end of the large block.

(b)

To determine

The distance moved by the larger block.

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Chapter 5, Problem 102CP

Chapter 5, Problem 104CP

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Physics for Scientists and Engineers with Modern Physics, Technology Update

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The time required for the small block to reach the other end of the large block.

Solution Summary: The author explains how to calculate the equilibrium condition for the smaller block.

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The time required for the small block to reach the other end of the large block.

The distance moved by the larger block.

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Chapter 5 Solutions