Initially sliding with a speed of 2.2m/s, a 1.8kg block collides with a spring and compresses it 0.31m before coming to rest. What is the force constant of the spring?

Question

Physics

Marley Riggs

3 October, 13:11

Initially sliding with a speed of 2.2m/s, a 1.8kg block collides with a spring and compresses it 0.31m before coming to rest. What is the force constant of the spring?

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Answers (1)

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Olive Decker · Answer 1

The kinetic energy of the box will be converted into the elastic potential energy of the spring. Thus,

1/2 kx² = 1/2 mv²

k = mv²/x²

k = 1.8 * 2.2² / (0.31) ²

k = 90.7 N/m