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

`13.60 \ m`

Step-by-step 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* g * 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* 9.8 * h\\\\h=(10000)/(75* 9.8) \ m\\\\h=13.60\  m`

Hence , this is the required solution.