Question

. A child pulls a sled up a snow-covered hill. In the process, the child does 405 J of work on the sled. If she walks a distance of 15 m up the hill, how large a force does she exert on the sled?

Answer 1

Work done by child W = 405 J; Distance walked s = 15 m
 Calculating the force exerted on the sled,
 Work = Force x distance
 => Force F = Work W / distance s => => F = 405 / 15 = 27 N
 Force F is 27 Newtons.

Answer 2

The amount of force that the child exerted on the sled to make the given displacement is 27N

Given the data in the question;

Work done; $W = 405J$

Displacement of the object; $d = 15m$

Force used; $F =\ ?$

Work done can be simply defined the measure of energy transfer that takes place when an external force moves an object over a certain distance.

It is expressed as:

Work done = Force × Distance

$W = F * d$

We make "$F$" the subject of the formula

$F = \frac{W}{d}$

We substitute our given values into the equation

$F = \frac{405J}{15m}\\\\F = \frac{405kg.m^2/s^2}{15m}\\\\F = 27kg.m/s^2\\\\F = 27N$

Therefore, the amount of force that the child exerted on the sled to make the given displacement is 27N.

Learn more: https://brainly.com/question/11565354