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10. Conservation of Energy
10. Conservation of Energy / Intro to Conservation of Energy / Problem 7

A science teacher pushes a 0.75 kg cube against an ideal spring with a spring constant of 300 N/m. The spring is compressed to a distance of 5.0 cm. The teacher releases the cube. After moving over the smooth horizontal part of the setup shown in the figure below, the cube slides down over a rough ramp, making an angle of 15° with the horizontal. The coefficient of kinetic friction between the cube and ramp is 0.25. Determine the speed of the cube just after leaving contact with the spring.
Diagram showing a spring, a cube, and a ramp with friction and angle details for energy conservation.

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