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Question

An object of mass 40 kg is raised to a height of 5 m above the ground. What is its potential energy initially and at half way point? If the object is allowed to fall, find its kinetic energy when it is half-way down.

A
1960 J,1000 J,960 J
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B
1960 J,960 J,1000 J
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C
1960 J,980 J,980 J
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D
1960 J,1960 J,0 J
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Solution

The correct option is C 1960 J,980 J,980 J
Gravitational potential energy is given by the expression, W= mgh
where,
h is the vertical displacement = 5 m
m is the mass of the object = 40 kg
g is the acceleration due to gravity = 9.8 ms2
W=40×5×9.8=1960 J.
At half-way down, the potential energy of the object will be 19602=980 J.
At this point, the object has an equal amount of potential and kinetic energy.
This is due to the law of conservation of energy.
Hence, half-way down, the kinetic energy of the object will be 980 J.

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