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A spring gun of spring constant 90 N/cm ...

A spring gun of spring constant 90 N/cm is compressed 12 cm by a ball of mass 16 g. If the trigger is pulled, the velocity of the ball is

A

`50 ms^(-1)`

B

`9 ms^(-1)`

C

`40 ms^(-1)`

D

`90 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
`1/2 kx^2 =1/2 mv^2`
`implies v^2 =(kx^2)/(m) =(90 xx(0.12)^2)/(16 xx10^(-3)xx10^(-2))=(9xx144)/16`
`v = sqrt(8100) = 90 m//s`
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