prove that K.E and P.E of a body falling lander gravity is always cost
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Answer:
Energy can neither be created nor destroyed, it can only be transformed from one form to another. The total energy before and after transformation remains the same.
A body of mass'm is raised to height b. At A its potential energy is maximum and kinetic energy is 0 as it is stationary.
When body is allowed to free fall and it reaches at B, h is decreasing hence potential energy decreases and V is increasing hence kinetic energy is increasing.
When the body is about to reach the ground level, h = 0, v will be maximum hence kinetic energy > potential energy
∴ Decrease in potential energy = Increase in kinetic energy
This shows the continual transformation of gravitational potential energy into kinetic energy. Potential energy + Kinetic energy = Constant (Mechanical energy)