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

Answer

`3.96 m`

Explanation

`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`