In an industrial gun, when the trigger is pulled a gas under pressure is released into the barrel behind a ball of mass m. The ball slides smoothly inside the barrel and the force exerted by the gas on the ball varies as
`F=F_(0)(1-x/L)` Where L is length of the end of the barrel from the initial position of the ball and x is instantaneous displacement of the ball from its initial position. Neglect any other force on the ball apart from that applied by the gas. Calculate the speed (V) of the ball with which it comes out of the gun.

Answer

`v=sqrt((F_(0)L)/m) -`