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.(1-) 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. Gas Cylinder
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.(1-) 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. Gas Cylinder
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Transcribed Image Text: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 barel and the force exerted by the gas
on the ball varies as
F. (1-)
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.
Gas Cylinder
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