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Question
when one does twice the work in twice the time, the power expended is ______. view available hint(s)
three times as much
four times as much
the same
twice as much
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Power is defined as work done per unit time, \( P = \frac{W}{t} \). Let the original work be \( W \) and original time be \( t \), so original power \( P_1=\frac{W}{t} \). If work becomes \( 2W \) and time becomes \( 2t \), new power \( P_2 = \frac{2W}{2t}=\frac{W}{t}=P_1 \). So power remains the same.
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the same (the option with "the same")