State the law of conservation of energy and prove that total energy remains conserved at any instant of a freely falling body.
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law of conservation of energy :
law of conservation of energy states that total energy of an isolated system remains constant, in simple words :-energy neither be created nor be destroyed , it can only converted into one form to another
Total energy remains conserved at any instant of a freely falling body :
At A velocity =0=u
K.E =1/2mv square =0
P.E=mgh, T.E=P.E+K.E=mgh
At B , velocity
V square =u square + 2as
K.E = 1/2 mv square =mgx
P.E=mg (h-x)
T.E=P.E+K.E
=mg(h-x)+mgx
=mgh
At c , velocity:
v square = u square+ 2as
=2 gh
K.E= 1/2mv square
= mgh
P.E=0
- T.E = P.E+K.E = mgh
- hope it helps you
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