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Spring Compression

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A small block of mass 0.09 kg is placed against a compressed spring at the bottom of a frictionless track that slopes upward at an angle of 40* above the horizontal. The spring has k=640 N/m and negligible mass. When the spring is released, the block travels a maximum distance of 1.8 m along the track before sliding back down. Before reaching this maximum distance, the block loses contact with the spring.
A. What distance was the spring originally compressed?
B. When the block has traveled along the track 0.8 m from its initial position against the compressed spring, is it still in contact with the spring? What is the kinetic energy of the block at this point?

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Solution Preview

Let Xo be the original compression distance of the spring, Xm the maximum dustance the block slides up the frictionless plane, g the acceleration due to gravity, X2 the distance given as .8 m. ...

Solution Summary

This solution contains step-by-step calculations to determine the original compression, the path of travel of the spring and kinetic energy of the block at a certain point.