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A block slides from rest, along a track with an elevated left end, a flat central part, into a relaxed spring. The curved portion of the track is frictionless, as well as the first portion of the flat part of L = 10 cm. The coefficient of kinetic friction between the block and the only rough part, D = 10 cm, is given by k = 0.20. Let the initial height of the block be h = 40 cm, its mass be m = 2.5 kg, and the spring constant k = 320 N/m.
While the block slides through the flat central part of length L find
1. The work done on the block by the gravitational force.
2. The work done on the block by the normal force.
3. The work done on the block by the frictional force.
4. The speed of the puck right before it reaches the beginning of the rough central part of length D.
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The block has now made it to the rough region of length D and will eventually slide head on into the spring at the end of the path. Over this region of length D, calculate
5. The work done on the block by the gravitational force.
6. The work done on the block by the normal force.
7. The work done by the frictional force as it reaches the spring.
8. The speed of the block just as it reaches the spring.
Assuming the block compresses the spring by x, find
9. The work done by the spring force.
10.The compression distance, x, of the spring.
11. Could you calculate the compression distance in just one step by using the Work-Kinetic energy theorem?
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