Question

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 ?

Answer 1

Correct Answer - `3.96 m`
`COME rArr mg (h + x_(0)) = (1)/(2) kx_(0)^(2)`
`rArr mg(0.24 + 0.01)`
`= (1)/(2) k(0.01 xx 0.01)` ….(i)
& `mg (h + 0.04) = (1)/(2)k(0.04)^(2)` …..(ii)
Equation (i) divided by (ii) `h = 3.96 m`