Answer: A 2.0-kg box and a 3.0-kg box on a perfectly

Chapter 6, Problem 36E

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QUESTION:

A 2.0-kg box and a 3.0-kg box on a perfectly smooth horizontal floor have a spring of force constant 250 N/m compressed between them. If the initial compression of the spring is 6.0 cm, find the acceleration of each box the instant after they are released. Be sure to include free-body diagrams of each box as part of your solution.

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QUESTION:

A 2.0-kg box and a 3.0-kg box on a perfectly smooth horizontal floor have a spring of force constant 250 N/m compressed between them. If the initial compression of the spring is 6.0 cm, find the acceleration of each box the instant after they are released. Be sure to include free-body diagrams of each box as part of your solution.

ANSWER:

Solution 36E

The force required to stretch a spring is , where k is the spring constant and x is the elongation.

Let us now have a look at the free body diagram as shown below.

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