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6.37 A 7.0-kg box moving at 7.0m/s on a horizontal, frictionless surface runs in

ID: 1282922 • Letter: 6

Question

6.37

A 7.0-kg box moving at 7.0m/s on a horizontal, frictionless surface runs into a light spring of force constant 65N/cm .

Part A

Use the work-energy theorem to find the maximum compression of the spring.

Express your answer using two significant figures.

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6.37

A 7.0-kg box moving at 7.0m/s on a horizontal, frictionless surface runs into a light spring of force constant 65N/cm .

Part A

Use the work-energy theorem to find the maximum compression of the spring.

Express your answer using two significant figures.

x = cm

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Explanation / Answer

0.5*k*x^2 = 0.5*m*v^2

x = v*sqrt(m/k)

= 7*sqrt(7/65)

= 2.297 m or 229.7 cm