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A 5kg mass starts from rest and slides down on an inclined plane, hits a bumper at the bottom of the inclined plane and bounces back up the inclined plane and comes to rest again. During the collision with the bumper, 0.7j of energy is lost. The mass started at a height of 0.25m above the bumper and rebounded to a height of 0.210m after the collision.

a. How much energy was lost in from when the mass started at rest until it rebounded to its maximum height after the collision?
b. How much energy was lost due to the collision with the bumper?
c. How much energy was lost due to friction between the mass and the inclined plane?

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