three different objects m1,m2 and m3 are allowed to fall from rest and from the same point o along three differnt frictionless paths. the speeds of three objects on reaching the ground will be in what ratio ?(in terms of m1,m2 and m3)
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If the balls falls through the same height, whatever be the frictionless path, their velocity on reaching the ground will be equal. This is according to the law of conservation of energy.
If they fall from a point at a height ‘h’ from the ground, the potential energy at the point is, PE = mgh
The kinetic energy on reaching the ground is, KE = ½ mv 2
Since, PE = KE
=> mgh = ½ mv 2
=> v = √(2gh)
The equation is independent of mass.
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