Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)
Explanation:
The gravitational potential energy of an object is given by:
[tex]U=mgh[/tex]
where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
In this problem, we have
U = 100 J is the potential energy of the person
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
m = 80 kg is the mass of the person
Solving for h, we find at what height the person is:
[tex]h=\frac{U}{mg}=\frac{100}{(80)(9.8)}=0.128 m = 12.8 cm[/tex]
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