Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as 10kg of air, but the balloon only weighs 2kg , then the balloon can lift 8kg . Airships have sometimes been filled with hydrogen ( H2 ), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly always been filled with helium ( He ) instead. gas density H2 0.090kgm3 He 0.18kgm3 air 1.23kgm3 Suppose a new airship Star of Balogna will have the shape of a cylinder 100.m long, with a radius of 15.0m , and will weigh 9100.kg without any gas inside it. Suppose also the average passenger weighs 81kg . Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium.
Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as 10kg of air, but the balloon only weighs 2kg , then the balloon can lift 8kg . Airships have sometimes been filled with hydrogen ( H2 ), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly always been filled with helium ( He ) instead. gas density H2 0.090kgm3 He 0.18kgm3 air 1.23kgm3 Suppose a new airship Star of Balogna will have the shape of a cylinder 100.m long, with a radius of 15.0m , and will weigh 9100.kg without any gas inside it. Suppose also the average passenger weighs 81kg . Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 44P: Review. This problem is a continuation of Problem 16.29 in Chapter 16. A hot-air balloon consists of...
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Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as
of air, but the balloon only weighs
, then the balloon can lift
.
), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in
with serious loss of life airships have nearly always been filled with helium (
) instead.
10kg
2kg
8kg
Airships have sometimes been filled with hydrogen (
H2
1937
He
gas | density |
---|---|
H2
|
0.090kgm3
|
He
|
0.18kgm3
|
air |
1.23kgm3
|
Suppose a new airship Star of Balogna will have the shape of a cylinder
100.m
long, with a radius of
15.0m
, and will weigh
9100.kg
without any gas inside it. Suppose also the average passenger weighs
81kg
.
Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium.
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