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# Rendezvous in Space! A couple of astronauts agree to ISBN: 9780321675460 31

## Solution for problem 3E Chapter 13

University Physics | 13th Edition

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Problem 3E

Rendezvous in Space! 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 kg and the other a mass of 72 kg, and they start from rest 20.0 m apart. (a) Make 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?

Step-by-Step Solution:

Step 1 of 3 a) The gravitational attraction of the astronauts on each other causes them to accelerate toward each other. m A B F A F = GB r 11 2 2 65 kg×72 kg = 6.67 × 10 N.m /kg )( (20 m) = 7.807 × 10 10 N a = F A A ma 7.807×1010N 11 2 a A 65 kg = 1.2 × 10 m/s F B a B mB a = 7.807×1010N = 1.1 × 1011m/s 2 B 72 kg Step 2 of 3 b) x = x + a t for constant acceleration 0 2 x x = a t 2 and x = a t1 2 A 2 A B 2 B x + x = 20 m so A B 20 m = (a + a )t 2 2 a B 2×20 m t = 1.2×1011m/s +1.1 ×10m/s 6 = 1.32 × 10 s Which is equal to 15 days

Step 3 of 3

##### ISBN: 9780321675460

The answer to “Rendezvous in Space! 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 kg and the other a mass of 72 kg, and they start from rest 20.0 m apart. (a) Make 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?” is broken down into a number of easy to follow steps, and 121 words. Since the solution to 3E from 13 chapter was answered, more than 347 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: acceleration, astronauts, other, rendezvous, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 3E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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