Captain Cutshaw is a 75.9 kg astronaut on board an experimental space station that orbits the Moon at an altitude of 269 km above the Moon's surface. Since the mass and average radius of the Moon are 7.350 x 1022 kg and 1740 km, respectively, how large must the gravitational force (in N) be that acts on Captain Cutshaw?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter4: Two-and-three Dimensional Motion
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Please answer the following questions and explain how you solved the problem. Be sure to state what the known and unknown quantities are, what concepts were applied, and what equations were used. Thank you!
Captain Cutshaw is a 75.9 kg astronaut on board an experimental space station that orbits the
Moon at an altitude of 269 km above the Moon's surface.
Since the mass and average radius of the Moon are 7.350 x 1022 kg and 1740 km, respectively,
how large must the gravitational force (in N) be that acts on Captain Cutshaw?
Transcribed Image Text:Captain Cutshaw is a 75.9 kg astronaut on board an experimental space station that orbits the Moon at an altitude of 269 km above the Moon's surface. Since the mass and average radius of the Moon are 7.350 x 1022 kg and 1740 km, respectively, how large must the gravitational force (in N) be that acts on Captain Cutshaw?
To avoid capture during a high speed car chase involving the Diplomatic Security Service, a
saboteur releases an oil slick from their vehicle, then pulls a sudden U-turn.
Having only a fraction of a second to react, DSS agent Luke Hobbes fires a grapple hook from the
side of his car toward a nearby utility pole. Once the hook is anchored, the cable attached to it
enables Hobbes to make a 8.52 m diameter U-turn in just 3.12 seconds.
If the tension in the cable is the only horizontal force acting on the car, what must be the tension
(in N) if Hobbes and his car have a combined mass of 1,993 kg?
Transcribed Image Text:To avoid capture during a high speed car chase involving the Diplomatic Security Service, a saboteur releases an oil slick from their vehicle, then pulls a sudden U-turn. Having only a fraction of a second to react, DSS agent Luke Hobbes fires a grapple hook from the side of his car toward a nearby utility pole. Once the hook is anchored, the cable attached to it enables Hobbes to make a 8.52 m diameter U-turn in just 3.12 seconds. If the tension in the cable is the only horizontal force acting on the car, what must be the tension (in N) if Hobbes and his car have a combined mass of 1,993 kg?
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