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A small motor accelerates a mass $m$ cart from rest through a distance $d$ with force $F_0$.

If the force output were doubled, how much more power would the motor be putting out in the given distance?

A

$ P_{0}$

B

$\sqrt{2} P_{0}$

C

$2 P_{0}$

D

$2 \sqrt{2} P_{0}$

E

$4 P_{0}$

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