Collsions Problem 6.115 Time Remaining: 00:38:49 Hids e previous I 13 of 13retu

Question

Collsions Problem 6.115 Time Remaining: 00:38:49 Hids e previous I 13 of 13retu to assignment Problem 6.115 Part A An astronaut (mass 158 kg, with equipment) Boats in space, 15.0 m from his spacecraft and at rest relative to it In order to get back, he throws a 1.10 kg wrench at 6.40 m/s in the diredion opposite the spacecraft How much time does it take him to reach the spacecralt Express your answer to two significant figures and include the appropriate units. 1 Value Units Submit My Answers Give U Part B Repeat part (a if the astronaut yras intally moving at 285 cm/s away from the spacecraft Express your answer to two significant figures and include the appropriate units alue Units Submit My Answers Give p as

Explanation / Answer

part A) let the speed of the astronaut is v

Using conservation of momentum

158 * v - 1.1 * 6.40 = 0

v = 0.045 m/s

time taken for the astronaut to reach = d/v

time taken for the astronaut to reach = 15/.045

time taken for the astronaut to reach = 336.6 s

the time taken for the astronaut to reach is 336.6 s

part B)

let the final velocity is v

Using conservation of momentum

158 * v - 1.1 * 6.40 = - 158 * 0.0285

v = 0.0161 m/s

time taken for the astronaut to reach = d/v

time taken for the astronaut to reach = 15/.0161

time taken for the astronaut to reach = 992 s

the time taken for the astronaut to reach is 992 s

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