Question

You push lawnmower for 50 m applying a constant force of 60 N. your friend carl pushes his same lawnmower for 80 m applying a constant force of 48 N and if it took you both 20 seconds to complete the work, who generated more power? A) youB) CarlC) you both generated the same amount of power.D) Not enough information to determine.

Answer 1

Given:

The distance you pushed the lawnmower is d = 50 m

The constant force applied by you is F = 60 N

The distance pushed by Carl is d' = 80 m

The constant force applied by carl is F' = 48 N

The time duration is t = 20 s

Required: To determine who generated power.

Explanation:

In order to determine who generated more power, first we need to calculate power.

The power can be calculated by the formula

$\begin{gathered} Power=\frac{Work\text{ done}}{time} \\ =\frac{Force\times distance\text{ traveled}}{time} \end{gathered}$

Power generated by you will be

$\begin{gathered} P=\frac{F\times d}{t} \\ =\frac{60\times50}{20} \\ =150\text{ W} \end{gathered}$

Power generated by Carl will be

$\begin{gathered} P^{\prime}=\frac{F^{\prime}\times d^{\prime}}{t} \\ =\frac{48\times80}{20} \\ =192\text{ W} \end{gathered}$

The power generated by Carl is greater than the power generated by you.

Final Answer: Carl generated more power.