An astronaut lost in space is far from any other mass (i.e., gravity is negligible). He swings a weight of mass m = 0.5 kg that is tied to a string, and it undergoes counterclockwise circular motion with a radius r = 2 m. The mass does a revolution once every 3 seconds. a) Draw the velocity and acceleration vectors of mass m at points p1, p2, and p3. b) What is the velocity? c) What is the centripetal force? d) What is the magnitude of the tension force in the string?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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Problem 25P: As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g,...
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An astronaut lost in space is far from any other mass (i.e.,
gravity is negligible). He swings a weight of mass m = 0.5 kg that is tied
to a string, and it undergoes counterclockwise circular motion with a
radius r = 2 m. The mass does a revolution once every 3 seconds.
a) Draw the velocity and acceleration vectors of mass m at points p1,
p2, and p3.
b) What is the velocity?
c) What is the centripetal force?
d) What is the magnitude of the tension force in the string?

P1
Problem 1) An astronaut lost in space is far from any other mass (i.e.,
gravity is negligible). He swings a weight of mass m = 0.5 kg that is tied
to a string, and it undergoes counterclockwise circular motion with a
radius r= 2 m. The mass does a revolution once every 3 seconds.
a) Draw the velocity and acceleration vectors of mass m at points p1,
p2, and p3.
b) What is the velocity?
c) What is the centripetal force?
d) What is the magnitude of the tension force in the string?
m
P2
P3
Transcribed Image Text:P1 Problem 1) An astronaut lost in space is far from any other mass (i.e., gravity is negligible). He swings a weight of mass m = 0.5 kg that is tied to a string, and it undergoes counterclockwise circular motion with a radius r= 2 m. The mass does a revolution once every 3 seconds. a) Draw the velocity and acceleration vectors of mass m at points p1, p2, and p3. b) What is the velocity? c) What is the centripetal force? d) What is the magnitude of the tension force in the string? m P2 P3
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