1.

A ball is droped as a floor from a height of `2.0m` After the collsion it rises up to a height of `1.5m` Assume thet `40%` of the machanical energy lost goes as thermal energy into the ball.Calculate the rise in the temperature of the ball in the colliation headcapacity of the ball is `800J K^(-1)`

Answer» Correct Answer - A::B::C
Let the mass of hall be m kg
and `V_(1) = sqrt(2gh) = sqrt(40)`
`V_(2)= sqrt(2gh) = sqrt(30)`
So change in K.E.
`= (1)/(2)xx mxx 40- ((1)/(2)m)xx 30 = ((10)/(2))m`
`= 5m`
That is utilisedto increases in temperature of the ball
`((40)/(100)) xx (10)/(2)m = m xx 800 xx Delta t`
`rArr Delta t = (1)/(400) = 0.0025`
`= 2.5 xx 10^(-3)^(@)C`


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