An object of mass m is made to fall freely from a height h. As the object continues to fall, what will happen to its energy?
The potential energy would decrease while the kinetic energy would increase.
An object with mass m falls freely from height h. This scenario involves the conversion between potential and kinetic energy due to gravitational force. Initially, the object has maximum potential energy and no kinetic energy when it is at rest at height h. The potential energy U at height h is given by:
U = mgh
where g is the acceleration due to gravity.
As the object falls, it loses height, and thus its potential energy decreases. Simultaneously, its speed and kinetic energy increase. The kinetic energy K is given by:
K = (1/2)mv²
where v is the velocity of the object.
By energy conservation principle, the total mechanical energy (sum of potential and kinetic energy) remains constant if we ignore air resistance. Thus, potential energy lost is converted into kinetic energy. As the object continues to fall:
The potential energy decreases while the kinetic energy increases.
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