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ringphysics.com/myct/itemView?assignmentProblemID-87828015 Problem 6.115 Time Re

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Question

ringphysics.com/myct/itemView?assignmentProblemID-87828015 Problem 6.115 Time Remaining: 00:18:24 Hide Problem 6.115 My Part A An astronaut (mass 154 kg, with e nt) floats in space, 15.0 m from his spacecraft and at rest relative to it. In order to get back, he throws a 1.20 kg wrench at 8.00 m/s in the direction opposite the spacecraft How much time does it take him to reach the spacecraft? Express your answer to two significant figures and include the appropriate units. 1 Value Units Submity Answers Give Up Part B Repeat part (a if the astronaut was initialy moving at 2 85 em/s away from the spacecraft. Express your answer to two significant figures and include the appropriate units. t Value Units My Answers Give Up ype here to search

Explanation / Answer

a)
Apply conservation of momentum

momentum of astronuat = momentum of wrench

154*v = 1.2*8

v = 1.2*8/154

= 0.0623 m/s

time taken to reach the space ship, t = d/v

= 15/0.0623

= 241 s


b) apply conservation of momentum

154*0.0285 = 154*(-v) + 1.2*8

==> v = 0.0338 m/s

time taken to reach the space ship, t = d/v

= 15/0.0338

= 444 s