A man applies a force of \(40\,\mathrm{N}\) to push a box along the floor.
How much power is required to push the box \(4.0\,\mathrm{m}\) in \(3.0\,\mathrm{s}\)?
Correct Answer: \( \boxed{\mathrm{C}} \)
Power is the rate at which work is done:
\( P=\frac{W}{t} \)
The work done on the box is:
\( W=Fd \)
Substituting the given values:
\( W=40\times4.0=160\,\mathrm{J} \)
Therefore,
\( P=\frac{160}{3.0}=53.3\,\mathrm{W} \)
\( P\approx53\,\mathrm{W} \)
Thus, the power required to push the box is \(53\,\mathrm{W}\).
Hence, the correct answer is (C).
