A 100kg gun fires a ball of 1 kg horizontally from a cliff of height 500m It falls on the ground at a distance of 400 m from the bottom of the cliff . Find the recoil veloctiy of the gun (acceleration due to gravity = 10 ms^(-2)) .

A 100kg gun fires a ball of 1 kg horizontally from a cliff of height 5

1.	A 100kg gun fires a ball of 1 kg horizontally from a cliff of height 500m It falls on the ground at a distance of 400 m from the bottom of the cliff . Find the recoil veloctiy of the gun (acceleration due to gravity = 10 ms^(-2)) .
Answer» Solution :Here , `m_(1) = 100 kg , m_(2) = 1 kg , h = 500 m ,` `x = 400 m` Let u be VELOCITY of ball and t be time TAKEN by the ball to hit the GROUND From `h = (1)/(2) g t^(2)` `500 = (1)/(2) x 10t^(2)` `t = sqrt(100) = 10 s` From `x = ut, u = (x)/(t) = (400)/(10) = 40 m//s` If is recoil velocity of gun then according to principle of conservation of linear momentum `m_(1) upsilon = m_(2) u` `upsilon = (m_(2)u)/(m_(1)) = (1)/(100) xx 40 = 4.0 m//s` .