prove that the kinetic energy of a freely falling object on reaching the ground is nothing but the transformation of its initial potential energy
Answers
Answer:
When a free falling object touches ground...its kinectic energy gets converted into heat (produced due to friction) and sound energy.
Hence kinetic engery gets transformed into heat and sound energy. And energy remains conserved.
Explanation:
Total energy at initial position = K.E + P.E = 0 + mgh
Total energy when it reaches the ground = K.E + P.E = 0.5mv^2 + 0
Velocity when it reaches the ground = sqrt(2gh)
Substitute velocity in total energy equation
Total energy when it reaches the ground = 0.5mv^2 = 0.5m * 2gh = mgh
We found that total energy when it reaches the ground = Total energy at initial position.
In other words, kinetic energy with which it hits the ground is the transformation of its initial potential energy.
Hope it was useful for you :D
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