a baloon of mass 100kg is at 100mts from the ground . a man of 50kg mass climbs the rope of the baloon with velocity 0.3m/s relative to the baloon. in which direction will the baloon move and with what velocity?

kedar joshi Grade: 10

        a baloon of mass 100kg is at 100mts from the ground . a man of 50kg mass climbs the rope of the baloon with velocity 0.3m/s relative to the

baloon. in which direction will the baloon move and with what velocity?

8 years ago

Answers : (1)

vikas askiitian expert

509 Points

							take downward as negative & upward as positive ....here weight of man is balanced by baloon so no net force acts in the system of baloon + man...
due to motion of man in upward direction the baloon will move in downward direction according to momentam conservation...
velocity of man = V_m wrt to baloon
let velocity of baloon is V_b then
from conservation of momentam in Y direction
m(V_m - V_b)- MV_b = 0                     ( here momentam is wrt to earth)
mV_m = (M+m)V_{b                                    ( mass of man & baloon are m & M respectively)}
V_b = mV_m/(M+m) .......
V_b = 50*0.3/150 = 0.1m/s