# Potential energy of a free fall body decreases . does this violate law of conservation of energy .

2
by sandipLodi

2015-03-25T21:15:58+05:30

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No, because according to this law energy can neither be created nor be destroyed.
As the potential energy decreases it changes into kinetic energy, the energy due to the motion of an object.
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2015-03-25T21:32:52+05:30

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No,the Ep of a body in free fall is converted into Ek( kinetic energy)and thus the amount of total energy is same at every point.
proof
let there be a mass 'm' at a maximum height 'h'
let the peak be point A and let B be the closest point to the ground
C is a point anywhere b/t A and B
total energy=Ep+Ek
at point A ,tot.e=mgh+o=mgh
at C,i.e. after travelling a distance x,tot.E= mg(h-x)+1/2mv^2
but, v^2-u^2=2gx (as x is the distance traveled and g is the acceleration  in this case),
u=0, v^2=2gx
hence tot.E @ C= mg(h-x)+mgx  =mgh
now, at point B,tot.E=0+mgh( as h is the distance covered at point B)
=mgh
Hence it is proved that eventhough Ep decreases during a freefall,the law of conservation of energy is not violated as mgh is constant at any point during this motion

hope this helps!!