Answer :
Answer:
E. 12P
Explanation:
The power can be calculated as work divided by time, so the first force produces power P and it is equal to:
[tex]P=\frac{W}{T}[/tex]If we have a second force that produces power P₂, where the work is six times W and the time is half time T, we get:
[tex]P_2=\frac{6W}{\frac{T}{2}}=\frac{6W\cdot2}{T}=12\frac{W}{T}[/tex]Since W/T = P, we get that
[tex]P_2=12P[/tex]Therefore, the power produce by a force that does six times as much work in half as much time is 12P.