Question

A child pulls a sled up a snow-covered hill. The child does 405 J of work on the
sled. If the child walks 15 m up the hill, how large of a force must the child exert?
(Please Put an explanation.)

Answer 1

Given :

• Work done on the sled=405J

• The child walks up the hill(distance)=15m

To find :

• Force exterted by the child =?

Formula :

$\blue \bigstar\large \boxed{ \sf{work \: done = force \times displacement}}$

Solution :

$\\ \implies \: \sf \: work \: done \: = force \: \times displacement$

•Substituting given values in this formula :

$\\ \implies\sf{405J=Force \times 15m}$

$\\ \implies\sf{Force=\dfrac{405J}{15m}}$

$\\ \implies\sf{Force=27 Newton}$

$\\ \implies\boxed{\sf{Force=27N}}$

• Force exerted by the child is 27 N.