Question

question 5 of 5
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is it correct to conclude that one engine is doing twice the work that another is doing just because it is generating twice the power?
o yes,
o no.
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Explanation:

Power \( P=\frac{W}{t}\), where \( W \) is work and \( t \) is time. If \( P_1 = 2P_2\), then \( \frac{W_1}{t_1}=2\frac{W_2}{t_2}\). Work \( W = P\times t\). We don't know the relationship between \( t_1 \) and \( t_2 \). For example, if \( t_1=t_2\), then \( W_1 = 2W_2\). But if \( t_1=\frac{1}{4}t_2\), then \( W_1=\frac{1}{2}W_2\). So power alone (without knowing time) is not enough to determine the ratio of work.

Answer:

No.