A horizontal spring with spring constant 85 n/m extends outward from a wall just above floor level. a 3.5 kg box sliding across a frictionless floor hits the end of the spring and compresses it 6.5 cm before the spring expands and shoots the box back out. how fast was the box going when it hit the spring?

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Question:

A horizontal spring with spring constant 85 n/m extends outward from a wall just above floor level. a 3.5 kg box sliding across a frictionless floor hits the end of the spring and compresses it 6.5 cm before the spring expands and shoots the box back out. how fast was the box going when it hit the spring?

Answer:

The box will hit the spring with the speed of 0.320 m/s

Given data:

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The spring constant is, ?f=k%3D85%20%5C%3A%5Crm%20N%2Fm.

The mass of box is, ?f=m%3D3.

The distance of compression is, .

The kinetic energy of spring is converted into spring potential energy. Then,

Kinetic energy = spring potential energy

Thus, the speed of box to hit the spring is 0.320 m/s.

Learn more about spring potential energy here:

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