# physics

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The largest-caliber antiaircraft gun operated by the German air force during World War II was the 12.8 cm Flak 40. Suppose this weapon fired a 26.2 kg shell with a muzzle speed of 800 m/s. What propulsive force was necessary to attain the muzzle speed within the 6.00 m barrel? (Assume the shell moves horizontally with constant acceleration and neglect friction.)

• physics -

change in momentum = force* time
final speed = 800
final momentum = 26.2 * 800 = 20960

average speed = 400
time in barrel = 6/400
so
20960 = F (6/400)
F = 1.4*10^6 Newtons

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