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

Answer:

1440 W

Explanation:

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

$d=\frac{1}{2}at^2$

where

a = 0.08 m/s^2 is the acceleration

t = 1 min = 60 s is the time

Substituting,

$d=\frac{1}{2}(0.08 m/s^2)(60 s)^2=144 m$

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:

$P=\frac{W}{t}=\frac{86,400 J}{60 s}=1440 W$