更新1:
An extra proof of the centre of mass of the system of the momentum is conserved will make me feel better.
Velocities and Directions
2010-11-11 1:43 am
A helium ballon and its gondola , of mass M, are in the air and stationary with respect to the ground . A passenger , of mass m , then climbs out and slides a rope with the speed of v , measured wit respect to the ballon. With what speeds and direction ( relative to Earth) does the balloon then moves? what happens of the passengers stops?
回答 (1)
2010-11-11 8:40 pm
✔ 最佳答案
Since the centre of mass of the system (balloon and passenger) would not move, the downward momentum of the passenger equals to the upward momentum of the balloon. Hence,mv = (M-m)Vwhere V is the upward velocity of the balloon.i.e. V = mv/(M-m) If the passenger stops climbing, the motion of the balloon also stops.
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