Neglecting air friction, when a ball is dropped from a certain height, it hits the ground and goes up to a height lower than from which it was dropped. I know that this is because some energy was lost as heat but, when it hits the ground, the ground applies a normal force and that is why the ball goes up back again. so isn't the ground doing some work , i.e., transferring energy to the ball. So shouldn't this energy the ball gains due to the work done by the ground compensate for the initial loss of energy as heat?? If this is true then why does the ball attain a height lower than the initial??
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This is because of the law of conversation of energy
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