P. 4310. An air gun is modelled such that initially there is some compressed air in a container of volume V1, at a pressure of p1. In the barrel there is a small projectile of mass m right in front of the container's opening. a) How long should the barrel be in order to accelerate the projectile to the greatest speed? b) What can the maximum speed of the projectile be? (Neglect friction and the leaking of the high-pressure air.) Data: m=0.51 g, the inner diameter of the barrel is 4.5 mm, p1=2 MPa, V1=1 cm3.
Solution (in Hungarian)