Question

A hill is 132 m long and makes an angle of 12.0 degrees with the horizontal. As a 54 kg jogger runs up the hill, how much work does the Niger do against gravity

Answer 1

14523.55J

Step-by-step explanation:

The work done by the jogger against gravity is given by the following equation;

`W=mgh.................(1)`

where m is the mass, g is acceleration due to gravity taken as
`9.8m/s^2` and h is the height of the hill.

Since the length of the hill is 132m and it is inclined at 12 degrees to the horizontal, the height is thus given as follows;

`h=132sin12^o\\h=27.44m`

Substituting this into equation (1) with all other necessary parameters, we obtain the following;

`W=54*9.8*27.44\\W=14523.55J`