Question

A `15 gm` ball is shot from a spring whose spring has a force constant of `600 N//m`. The spring is compressed by `5 cm`. The greater possible horizontal range of the ball for this compression is
A. 6 m
B. 8 m
C. 10 m
D. 12 m

Answer 1

Correct Answer - C
Here, `R_("max")=u^2/g=1/2m u^2 xx 2/(mg)`
But `1/2 m u^(2) =1/2 kx^2`
`therefore R_("max")=1/2 kx^2 xx 2/(mg) =(kx^2)/(mg)=(600xx(0.05)^2)/(0.015xx10)=10 m`