A horizontal spring with spring constant 85 n/m extends outward from a wall just above floor level. a 9.5 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?

Question

Juarez

Physics

26 December, 19:12

A horizontal spring with spring constant 85 n/m extends outward from a wall just above floor level. a 9.5 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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Answers (1)

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Niko Hodge · Answer 1

Spring constant: 85N/m, 9.5kg box, compresses spring 0.035m.

85N/m * 0.035m = 2.975N

Use spring equation 1/2*k * (change in distance) ^ 2

1/2*85N/m * (0.035m) ^ 2=0.052063J

Now use kinetic equation:

1/2*m*v^2

0.052063J=0.5*9.5kg*v^2

v = 0.1047 m/s