Answer:
A) 12P
Explanation:
The power produced by a force is given by the equation
[tex]P=\frac{W}{T}[/tex]
where
W is the work done by the force
T is the time in which the work is done
At the beginning in this problem, we have:
W = work done by the force
T = time taken
So the power produced is
[tex]P=\frac{W}{T}[/tex]
Later, the force does six times more work, so the work done now is
[tex]W'=6W[/tex]
And this work is done in half the time, so the new time is
[tex]T'=\frac{T}{2}[/tex]
Substituting into the equation of the power, we find the new power produced:
[tex]P'=\frac{W'}{T'}=\frac{6W}{T/2}=12\frac{W}{T}=12P[/tex]
So, 12 times more power.
