1.

An object of mass m is released from rest from the top of a smooth inclined plane of height h. Its speed at the bottom of the plane is proportional toA. `m^0`B. `m`C. `m^2`D. `m^(-1)`

Answer» Correct Answer - A
Let v be the speed of the object at the bottom of the plane.
According to work-energy theorem
`W = DeltaK = K_f- K_i`
`mgh=1/2mv^2-1/2m u^2 " " (therefore u=0)`
`mgh=1/2 mv^2 "or" v=sqrt(2gh)`
From this expression, it is clear that v is independent of the mass of an object.


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