4) The acceleration due to gravity at the surface of a planet of mass M, radius R, is given by the expression, g = GM/R?. a) Mars's diameter is about .5 what earth is and the mass is about .1 that of earth, what would g be in m/s? ? g=6 = 24.5m/62 Gravity can be simulated by rotating a hollow cylinder, that rotation simulates gravity by its centripetal acceleration. If you were standing on the inside of the cylinder the acceleration would push your feet against the wall with your head pointing to the center. If the radius of the cylinder is 300 m... b) What speed v should the rotation be in order to give you the same feeling as if you are standing on Earth?

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Chapter13: Gravitation
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Solve for #4 a
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4) The acceleration due to gravity at the surface of a planet of mass M, radius R, is given by the
expression, g = GM/R² .
%3D
a) Mars's diameter is about .5 what earth is and the mass is about .1 that of earth, what would g be in
m/s? ?
- 24.5m/s2
Gravity can be simulated by rotating a hollow cylinder, that rotation simulates gravity by its centripetal
acceleration. If you were standing on the inside of the cylinder the acceleration would push your feet
against the wall with your head pointing to the center. if the radius of the cylinder is 300 m....
b) What speed v should the rotation be in order to give you the same feeling as if you are standing on
Earth?
c) What speed v should the rotation be in order to give you the same feeling as if you are standing on
Mars?
d) Find the period of the rotation in seconds.
e) Find the rotation speed in revolutions per minute.
Transcribed Image Text:D G H J K L re 4) The acceleration due to gravity at the surface of a planet of mass M, radius R, is given by the expression, g = GM/R² . %3D a) Mars's diameter is about .5 what earth is and the mass is about .1 that of earth, what would g be in m/s? ? - 24.5m/s2 Gravity can be simulated by rotating a hollow cylinder, that rotation simulates gravity by its centripetal acceleration. If you were standing on the inside of the cylinder the acceleration would push your feet against the wall with your head pointing to the center. if the radius of the cylinder is 300 m.... b) What speed v should the rotation be in order to give you the same feeling as if you are standing on Earth? c) What speed v should the rotation be in order to give you the same feeling as if you are standing on Mars? d) Find the period of the rotation in seconds. e) Find the rotation speed in revolutions per minute.
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