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according to given data,
forces acting on the given situation are
F
(byoyancy force) - acting upward vertical direction
F
(drag force) - acting downward (oppose the relative motion)
F
& F
- gravity forces due to weight of gas and payload respectively
now we have to apply
force equilibrium
equation in vertical direction
let net upward force acting is
F
so,
F = F
F
- F
F
b
d
g
p
b -
d
p -
g