Question

how high a hill would a 75 kg hiker has to climb to increase her gravitational potential energy by 10000 j

Answer 1

Your answer would be 13.6 m

Answer 2

Answer:

$13.60 \ m$

Explanation:

Given that,

Mass of the hiker is 75 kg

The gravitational potential energy by 10000 J

To solve :

The height of the hill.

Solve :

The gravitational potential energy of object , $G=10000\ J$.

Also, Mass of hiker, $m=75 \ kg.$

Now,

The relation between Gravitational potential energy (G) and Mass of object (M) is given as:

$G=m\times g \times h.$

Where , g is acceleration due to gravity, $g=9.8\ m/s^2.$.

Putting , values of G, g and m in above equation.

We get, $10000=75\times 9.8 \times h\\\\h=\dfrac{10000}{75\times 9.8} \ m\\\\h=13.60\ m$

Hence , this is the required solution.