How Does a Helium Balloon Achieve Buoyancy at 30 km Altitude?

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SUMMARY

A helium balloon with a total mass of 20 kg is used to lift a 70 kg payload at an altitude of 30 km, where the air density is 0.035 kg/m³. At this altitude, the balloon achieves buoyancy by balancing the buoyancy force with the total weight of the balloon and payload. To calculate the required volume of the balloon, one must apply the principle of buoyancy, where the buoyant force equals the weight of the air displaced by the balloon. The effective volume of the balloon can be determined by subtracting the volume of the payload from the total volume needed to balance the forces.

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a helium balloon, with a combined mass of the balloon and helium of 20kg, is used to lift a payload of 70kg. At an altitude of 30 km the balloon stops and remains stationary.

a. Explain
b. at 30km, the density of air os 0.035kg/m^3. What is the volume of the balloon assuming that the volume of the payload is 0.010m^3

can someone please help, i need to kinda have a idea for my quiz tomorrow

for the vlume i came up with v=m/density

v = 90/.035

v = 2571?
 
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I think you should use the concept of Buoyancy Force to solve it..
Balance the buoyancy force and the total weight to get the volume of the balloon and payload, then substract the volume of payload..
 
At 30 km, the total force, weight and bouyancy, is 0. You know the weight so you can calculate the bouyancy force- you also know, or should know, that that is equal to the weight of air displaced by the balloon. You are given the volume of the balloon- what would be the weight of that volume of air?
 

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