Question

stion 4: Bullets are fired using pressurized produced by a combustion reaction) accelerates in an enclosure. The pressurized gas L the bullet along the barrel. As the enclosed gas expands the pressure drops and the acceleration Compressed Gas decreases along the barrel according to the formula a= 850 x^4 m/s”. The barrel's length is 0.719 m. If the bullet starts from rest 0.01 m from the closed, left end of the barrel, what is its speed as it escapes the barrel exit on the right?

Answer 1

as it escapes the barnel exit on the right a = 850 x-44 a = f(x) given vdu= add Adx= vdv at u=o.olm at 7-6 U-0 velecity 15 V "Sadx="Svar o-ol Lione +4) dx = Juar (850x 0.01 5600 (0) 2 -0.4 0.719 0-4) - 0.01 V -2125 -2125% -5.169 V? = 21968.25 v=+148.22 mis velecity