Using the formula
GPE = m*g*h (mass (kg) * gravitational field strength (N/kg) * height (m) )
We can say that -
100 J = 0.5 * 9.8 * x
x = 100/(0.5 * 9.8)
x = 20.4 m
Your answer is 20.4 m
The height of the cliff when 100 J from its gravitational potential energy stored is 20.4 m.
If an object is lifted, work is done against gravitational force. The object gains energy. The equation for calculating gravitational potential energy is
GPE =mgh
where, GPE is the gravitational potential energy, m is the mass, h is the change in height and g is the acceleration due to gravity.
A 500g object falls off a cliff and losers 100 J from its gravitational potential energy store. The gravitational field strength is g=9.8N/kg.
100 J = 0.5 x 9.8 x h
h = 100/(0.5 * 9.8)
h = 20.4 m
Thus, the height of the cliff is 20.4 m.
Learn more about gravitational potential energy.
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