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A massless platform is kept on a light e...

A massless platform is kept on a light elastic spring as shown in figure. When a small stone of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the spring compresses by 0.01m. From what height should the stone be droppped to cause a compression of 0.04m in the spring ?

Text Solution

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By conservation of mechanical energy
`mg(h + y) = (1)/(2) Ky^(2)`
`h` = height of particle
`y` = compression of the spring
As here particle and spring remain same
`(h_(1)+y_(1))/(h_(2) +y_(2)) = ((y_(1))/(y_(2)))^(2) , (0.24 + 0.01)/(h_(2) + 0.04) = ((0.01)/(0.04))^(2) , h_(2) = 3.96 m`.
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