A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg and they start from rest 20.0 m apart. a. Draw a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. b. If the astronauts' acceleration remained constant, how many days would they have to wait before reaching each other? Careful! They both have acceleration toward each other! c. Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter7: Gravity
Section: Chapter Questions
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A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity
bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg
and they start from rest 20.0 m apart.
a. Draw a free-body diagram of each astronaut, and use it to find his or her initial
acceleration. As a rough approximation, we can model the astronauts as uniform
spheres.
b. If the astronauts' acceleration remained constant, how many days would they have
to wait before reaching each other? Careful! They both have acceleration toward
each other!
c. Would their acceleration, in fact, remain constant? If not, would it increase or
decrease? Why?
Transcribed Image Text:A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65.0 kg and the other a mass of 72.0 kg and they start from rest 20.0 m apart. a. Draw a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. b. If the astronauts' acceleration remained constant, how many days would they have to wait before reaching each other? Careful! They both have acceleration toward each other! c. Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?
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