Question

A hill is 100 m long and makes an angle of 12o with the horizontal. As a 50-kg jogger runs up the hill, how much work does gravity do on the jogger?

Answer 1

Given that,

Length of the hill, l = 100 m

The hill makes an angle of 12 degrees with the horizontal.

Mass of jogger, m = 50 kg

To find,

Work done by gravity on the jogger.

Solution,

Using trigonometry to find the sloping height of the hill such that,

$h=100\times \sin (12)\\\\h=20.79\ m$

The work done by gravity on the jogger is :

$W=mgh\\\\W=50\times 10\times 20.79\\\\W=10395\ J\\\\W=10.3\ kJ$

So, the work done by gravity on the jogger is 10.3 kJ.

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