Question

A boy exerts a force of 60.0 N to push the box 12.0 m in 20.0 s. Solve for the power.

Answer 1

Power generated = 36 N

Given

A boy exerts a force of 60.0 N to push the box 12.0 m in 20.0 s

To Find

Power generated

Knowledge required

Power is defined as the work done per unit time .

$\bf \pink{\bigstar}\ \; P=\dfrac{W}{t}$

Work is defined as the product of force and displacement

$\pink{\bigstar}\ \; \bf W=F.s$

So , Final formula for Power is ,

$\pink{\bigstar\ \; \bf P=\dfrac{F.s}{t}}$

Solution

Given ,

• Force , F = 60 N
• Displacement , s = 12 m
• Time , t = 20 s

Apply formula ,

$\bf \red{P=\dfrac{F.s}{t}}\\\\\to \rm P=\dfrac{60\times 12}{20}\\\\\to \rm P=\dfrac{3\times 12}{1}\\\\\to \rm P=36\ N.m/s\\\\\to \rm P=36\ J/s\\\\\to \bf{\blue{P=36\ W}}\ \; \pink{\bigstar}$