Answer:
[tex]13.60 \ m[/tex]
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 , [tex]G=10000\ J[/tex].
Also, Mass of hiker, [tex]m=75 \ kg.[/tex]
Now,
The relation between Gravitational potential energy (G) and Mass of object (M) is given as:
[tex]G=m\times g \times h.[/tex]
Where , g is acceleration due to gravity, [tex]g=9.8\ m/s^2.[/tex].
Putting , values of G, g and m in above equation.
We get, [tex]10000=75\times 9.8 \times h\\\\h=\dfrac{10000}{75\times 9.8} \ m\\\\h=13.60\ m[/tex]
Hence , this is the required solution.
