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A 15 gm ball is shot from a spring whose...

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 greatest possible horizontal range of the ball for this compression is

Text Solution

Verified by Experts

`R_("max")= (u^(2))/(g)` ……………(1)
But K.E acquired by ball = P.E of spring gun
`implies (1)/(2)mu^(2)= (1)/(2)kx^(2) implies u^(2)= (kx^(2))/(m)`……(2)
From equation (1) and (2)
`R_("max")= (kx^(2))/(mg)= (600 xx (5 xx 10^(-2))^(2))/(15 xx 10^(-3) xx 10)= 10cm`
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