Question

The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.40 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.)

Answer 1

vsin (20) RangeR=

v = 2.4 km/s = 2400 m/s

Ꮎ = 55°

g = 9.8 m/s^2

therefore Range R= (2400² sin(110))/(9.8) = 552309 meters = 552.309 km