A world war I cannon mounted on a railcar and set therefore that it will project a shell at an angle of 30o above the horizontal. With the car initially at rest on a horizontal frictionless track, the cannon fire a 200 kilogram projectile at 125 m/s. (All values are for the frame of reference of the track).
(A) Will the vector momentum of the car-cannon-shell system be the same just before and just after the shell is fired? Describe your answer.
(B) If the mass of the real car plus cannon is 5000 kilogram, find what will be the recoil velocity of the car along the track after the firing?
(C) The shell is observed to rise to a maximum height of 180 m as it moves through its trajectory. At this point, its speed at 80.0 m/s. On the basis of this information, find the amount of thermal energy produced by air friction on the shell from the cannon's mouth to this maximum height.