1.

A ball of mass m is dropped onto a floor from a certain height. The collision is perfectly elastic and the ball rebounds to the same height and again falls. Find the average force exerted by the ball on the floor during a long time interval.

Answer»

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ANSWER::


LET height be 'h' from where the BALL of mass m is DROPPED ONTO a floor.


Before collision => v₁ = √(2gh) and then v₁ = 0


After collision => v₂ = - √(2gh) and then v₂ = 0


Rate of change of velocity , F = [m x 2√(2gh)] / t


Now , v = √(2gh) , s = h , v = 0


v = u+at


√(2gh) = gt


t = √(2h/g)


Total time = 2√(2h/g)


F = [m x 2√(2gh)] / [2√(2h/g) ] = mg



Hope it helps!






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