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Work and Energy
An object of mass 40 kg is raised to a height of 5 m above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down.
In the above question it is given that:
h = Vertical displacement = 5 m
m = Mass of the object = 40 kg
g = Acceleration due to gravity = 9.8 m/s²
Gravitational potential energy is given by the expression,
At half-way down, the potential energy of the object will reduce to half.
P.E. at half-way down =
At this point, the object has potential energy equal to kinetic energy. This is due to the law of conservation of energy.
Hence, half-way down the kinetic energy of the object will be 980J.
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