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A stone is projected vertically upwards ...

A stone is projected vertically upwards to reac a maximum heiht h. What is the ratio of its kinetic energy to its potential energy at a heigth of `3/5h`?

A

`2:3`

B

`4:5`

C

`3:4`

D

`3:2`

Text Solution

Verified by Experts

The correct Answer is:
A
The work done is stored in the spring in the form of its P.E. and its `P.E. =1/2 Kx^(2)`
`K=1/2 K(x_(2)^(2)-x_(1)^(2))=1/2 xx 800 xx [(0.15)^(2)-(0.05)^(2)]`
`=400 xx [(0.15 +0.5)+(0.15 -0.05)]`
`=400 xx 0.2 xx 0.1=8J`
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