A force produces power P by doing work W in a time T . What power will be produced by a force that does six times as much work in half as much time?
A) 12P
B) 6P
C) P
D) $\frac { 1 } { 12 } P$
E) $\frac { 1 } { 6 } P$

Question

A force produces power  P  by doing work  W  in a time  T . What power will be produced by a force that does six times as much work in half as much time?
A)  12P 
B)  6P 
C)  P 
D) $\frac { 1 } { 12 } P$
E) $\frac { 1 } { 6 } P$

Quizplus · Accepted Answer

Power is defined as work done per unit time. If the work done is increased by a factor of 6 and the time is reduced by half, the power is increased by a factor of 6 (due to the increase in work) and further doubled (due to the halving of time), resulting in a total increase by a factor of 12.

A Force Produces Power P by Doing Work 112P\frac { 1 } { 12 } P121​P

A Force Produces Power P by Doing Work $\frac { 1 } { 12 } P$