Question

A sled is being pulled along a horizontal surface by a horizontal force F of magnitude 600 N. Starting from rest, the sled speeds up with acceleration 0.08 m/s^2 for 1 minute. Find the average power P created by force F.

Answer 1

1440 W

Step-by-step explanation:

First of all, we can find the total displacement of the sled, which is given by

`d=(1)/(2)at^2`

where

a = 0.08 m/s^2 is the acceleration

t = 1 min = 60 s is the time

Substituting,

`d=(1)/(2)(0.08 m/s^2)(60 s)^2=144 m`

Now we can find the wotk done on the sled, equal to the product between force and displacement:

`W=Fd=(600 N)(144 m)=86,400 J`

And finally we can fidn the average power, which is the ratio between the work done and the time taken:

`P=(W)/(t)=(86,400 J)/(60 s)=1440 W`