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A 30-kg child sits at the top of a 3-meter slide. After sliding down, the child is traveling 4 m/s. How much PE does he start with? How much KE does he end with? How much energy is lost to friction?
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Oh wait there is friction too. PE = mgh KE =1/2 mv^2 The energy lost due to friction, will be the difference of those.
Without friction, the change in PE would equal the change in KE.
\[PE_{I}+KE_{I}=PE_{f}+KE_{f}+Wf\]
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