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A ball of mass 1 kg moving with velocity...

A ball of mass `1 kg` moving with velocity `3 m//s`, collides with spring of natural length `2m` and force constant `144 N//m` . What will be length of compressed spring ?

A

`2m`

B

`1.5 m`

C

`1m`

D

`0.5m`

Text Solution

Verified by Experts

The correct Answer is:
B
Elastic `P.E` of spring = K.E. of ball
`(1)/(2) Kx^(2)=(1)/(2)m upsilon^(2)`
`x=sqrt((m upsilon^(2))/(K))=sqrt((4xx3^(2))/(144))=(1)/(2)=0.5 m`
`:.` Length of compressed spring `=l -2=2-0.5`
`=1.5 m`
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