The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.
Problem
If the propelling gas in the gas gun described in Problem 13.55 is air, it more accurate modeling of the acceleration of the projectile is obtained by assuming that the acceleration of the projectile is given by a = c/sγ. where γ = 1 4 is the ratio of specific heal for air. (T his means that an isentropic expansion process is assumed instead of the isothermal process assumed in Problem 13.55.) Determine the value of the constant c necessary for the projectile to leave the barrel with a velocity of 200 m/s.
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