A weather ballon filled with hydrogen has a volume of 115 m^3 when on the ground. A bag attached to the ballon has a mass of 2.3 kg. What weight of instruments can it carry and still make it off the ground?
2007-02-01 15:37:08 · 2 answers · asked by NoturTypicalBI! 3 in Science & Mathematics ➔ Physics
The problem as you describe it is lacking information needed to answer the question. If I change just a few words I can create a problem that is capable of being solved but I don't know if that will be the correct problem or if you just left out the critical information. The critical information is the weight of the material that makes up the balloon itself. If I assume that the bag mass is not a bag attached to the balloon but the balloon itself then the problem at least becomes possible to solve. a weight of 2.3 kg for the bag that makes up the balloon is very light.
The payload would be 136 Kilograms
That is determined by looking up on the web the density of
air at sea level=1.2929 kg/m^3
Hydrogen molecules=.08988 kg/m^3
subtracting the smaller from the bigger
and multiplying by 115 m^3
and subtracting the 2.3 kg for the mass of the balloon.
All this works without conversion to newtons because in this problem of determining the ultimate payload all the conversion factors between force and mass drop out of the computations
2007-02-01 16:27:11 · answer #1 · answered by anonimous 6 · 1⤊ 0⤋
The balloon is displacing 115 m^3 of air. The density of air is 1.2 kg/m^3 and for hydrogen is 0.1 kg/m^3.
Bouyancy = 115 m^3 (1.2 - 0.1) kg/m^3 = 126.5 kg
The balloon can then lift about 126.5 - 2.3 = 124.2 kg additionally.
Call it 124 kg (to 3 sig figs).
2007-02-01 23:57:07 · answer #2 · answered by gebobs 6 · 0⤊ 0⤋