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Question
part a an old man and his grandchild, both of the same mass, go up the stairs to their first-floor apartment. the child gets to the apartment well before his granddad. which one delivered more power? view available hint(s) not enough information to answer the grandfather the child both delivered the same power submit
Brief Explanations
- Recall the formula for power: \( P=\frac{W}{t} \), where \( W \) is work done and \( t \) is time taken.
- Work done against gravity is \( W = mgh \) (mass \( m \), gravitational acceleration \( g \), height \( h \)). Since both have the same mass (\( m \)) and climb the same height (\( h \)), their work done (\( W \)) is equal.
- The child takes less time (\( t \)) than the grandfather (as the child arrives earlier). From \( P=\frac{W}{t} \), when \( W \) is constant, a smaller \( t \) leads to a larger \( P \). So the child delivers more power.
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