You and your younger brother are designing an air rifle that will shoot a lead pellet with mass m = 1.20 g and cross-sectional area A = 0.0150 cm². The rifle works by allowing high-pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction occurs and the expansion is essentially adiabatic. Your design is such that, once the pressure begins pushing on the pellet, it moves a distance of L = 40.0 cm before leaving the open end of the rifle at your desired speed of v= 110 m/s. Your design also includes a chamber of volume V = 13.0 cm³ in which the high-pressure air is stored until it is released. Your brother reminds you that you need to purchase a pump to pressurize the chamber. To determine what kind of pump to buy, you need to find what the pressure of the air must be in the chamber (in Pa) to achieve your desired muzzle speed. Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel. (Assume that air is diatomic.) Pa

Elements Of Electromagnetics
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You and your younger brother are designing an air rifle that will shoot a lead pellet with mass m = 1.20 g and cross-sectional area A = 0.0150 cm². The rifle
works by allowing high-pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal
conduction occurs and the expansion is essentially adiabatic. Your design is such that, once the pressure begins pushing on the pellet, it moves a distance of
L = 40.0 cm before leaving the open end of the rifle at your desired speed of v = 110 m/s.
Your design also includes a chamber of volume V = 13.0 cm³ in which the high-pressure air is stored until it is released. Your brother reminds you that you need
to purchase a pump to pressurize the chamber. To determine what kind of pump to buy, you need to find what the pressure of the air must be in the chamber (in
Pa) to achieve your desired muzzle speed. Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel. (Assume that air is
diatomic.)
Pa
Transcribed Image Text:You and your younger brother are designing an air rifle that will shoot a lead pellet with mass m = 1.20 g and cross-sectional area A = 0.0150 cm². The rifle works by allowing high-pressure air to expand, propelling the pellet down the rifle barrel. Because this process happens very quickly, no appreciable thermal conduction occurs and the expansion is essentially adiabatic. Your design is such that, once the pressure begins pushing on the pellet, it moves a distance of L = 40.0 cm before leaving the open end of the rifle at your desired speed of v = 110 m/s. Your design also includes a chamber of volume V = 13.0 cm³ in which the high-pressure air is stored until it is released. Your brother reminds you that you need to purchase a pump to pressurize the chamber. To determine what kind of pump to buy, you need to find what the pressure of the air must be in the chamber (in Pa) to achieve your desired muzzle speed. Ignore the effects of the air in front of the bullet and friction with the inside walls of the barrel. (Assume that air is diatomic.) Pa
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