Jessie is an astronaut with a mass of 66 kg in an orbit (a fast moving circular path) around the earth. She is 477000 meters above the ground, and has an orbital speed of 9000 metres per second. For the following questions, assume the mass of the earth is 6.0e + 24 kilograms, and the radius of the earth is 6371000 metres. a) Which of the following factors affect the gravitational force of attraction between Jessie and the earth? Speed of Jessie Orbiting the Earth Jessie's Mass Height above the ground of Jessie Earth's Mass Radius of Earth b) James, an astronaut (with the same mass as Jessie) intends to use a hot air balloon to get to Jessie. How much buoyancy force is required to enable James to float at the same height as Jessie. FB = N

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Jessie is an astronaut with a mass of 66 kg in an orbit (a fast moving circular
path) around the earth. She is 477000 meters above the ground, and has an
orbital speed of 9000 metres per second.
For the following questions, assume the mass of the earth is 6.0e + 24
kilograms, and the radius of the earth is 6371000 metres.
a) Which of the following factors affect the gravitational force of attraction
between Jessie and the earth?
Speed of Jessie Orbiting the Earth
Jessie's Mass
Height above the ground of Jessie
Earth's Mass
Radius of Earth
b) James, an astronaut (with the same mass as Jessie) intends to use a hot air
balloon to get to Jessie. How much buoyancy force is required to enable James to
float at the same height as Jessie.
FB
N
Transcribed Image Text:Jessie is an astronaut with a mass of 66 kg in an orbit (a fast moving circular path) around the earth. She is 477000 meters above the ground, and has an orbital speed of 9000 metres per second. For the following questions, assume the mass of the earth is 6.0e + 24 kilograms, and the radius of the earth is 6371000 metres. a) Which of the following factors affect the gravitational force of attraction between Jessie and the earth? Speed of Jessie Orbiting the Earth Jessie's Mass Height above the ground of Jessie Earth's Mass Radius of Earth b) James, an astronaut (with the same mass as Jessie) intends to use a hot air balloon to get to Jessie. How much buoyancy force is required to enable James to float at the same height as Jessie. FB N
c) In reality, this isn't possible due to the extremely low air density (along with a lot
of other factors!). !) If the air at Jessie's height is at a pressure p = 0.285kg/m°
what is the absolute minimum volume a hot air balloon must be in order to provide
enough buoyancy force for James at that height? For this question, you can
assume g = 9.8 to make things easier.
V
=
m
Transcribed Image Text:c) In reality, this isn't possible due to the extremely low air density (along with a lot of other factors!). !) If the air at Jessie's height is at a pressure p = 0.285kg/m° what is the absolute minimum volume a hot air balloon must be in order to provide enough buoyancy force for James at that height? For this question, you can assume g = 9.8 to make things easier. V = m
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