Question

State law of conservation of energy & express it in the form of an equation for a body of

mass m falling from a point at a height h, above the ground.​

Answer 1

THE LAW OF CONSERVATION OF ENERGY STATS THAT ENERGY CAN NEITHER BE CREATED NOR DESTROYED IT CAN ONLY BE CONVERTED FROM ONE FORM TO ANOTHER.

PROOF

LETS CONSIDER THE DISTANCE FROM A TO C AS H AND THE DISTANCE FROM A TO B AS X AND THE DISTANCE FROM B TO C AS      (H-X)

AT A

PE=MGH

KE=0

ME=PE+KE

ME =MGH+0=MGH

AT B

PE=MG(H-X)

    =MGH-MGX

KE=1/2MV²

WHEN U=0, V²=2GS

1/2M*2GS

=MGX

ME=PE+KE

    =MGH-MGX+MGX'

   =MGH

AT POINT C  

PE=0

KE=1/2MV²

WHEN U=0,V²=2GH

KE=1/2*M*2GH

KE=MGH

ME=KE+PE

    =mgh+0

    =MGH

THEREFORE WE SEE THAT AT ALL POINTS THE ENERGY REMAINS THE SAME IE,MGH THIS PROVES THAT ENERGY AT ANY POINT ALWAY REMAINS THE SAME  

HENCE PROVED

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