Question

10) A force produces power P by doing work Win a time T. What power will be produced by a force that does six times as much workin half as much time?Select one:O A. (1/12)PO B. (1/6)PО C. РO D. 6PO E. 12P Star

Answer 1

E. 12P

Step-by-step explanation:

The power can be calculated as work divided by time, so the first force produces power P and it is equal to:

`P=(W)/(T)`

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:

`P_2=(6W)/((T)/(2))=(6W\cdot2)/(T)=12(W)/(T)`

Since W/T = P, we get that

`P_2=12P`

Therefore, the power produce by a force that does six times as much work in half as much time is 12P.