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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

Sagot :

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.

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