Help with physics problem please! Thank you! 9. 2/12 points| Previous Answers My

Question

Help with physics problem please!

Thank you!

9. 2/12 points| Previous Answers My Notes Ask Your An astronaut of mass 84.0 kg is taking a space walk to work on the International Space Station. Because of a malfunction with the booster rockets on his spacesuit, he finds himself drifting away from the station with a constant speed of 0.550 m/s. With the booster rockets no longer working, the only way for him to return to the station is to throw the 9.20 kg wrench he is holding. In which direction should he throw the wrench? away from the station toward the station He throws the wrench with speed 13.93 m/s WITH RESPECT TO HIMSELF. (Hint: That is NOT the speed an observer on the space station would see. Think of a traveler walking on a moving walkway at the airport. The velocity of the traveler with respect to the ground equals the velocity of the traveler with respect to the moving walkway plus the velocity of the moving walkway with respect to the ground. For this problem, the velocity of the wrench with respect to the space station equals the velocity of the wrench with respect to the astronaut plus the FINAL velocity of the astronaut with respect to the space station.) After he throws the wrench, how fast is the astronaut drifting toward the space station? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully What is the speed of the wrench with respect to the space station? Your response is within 0% of the correct value. This may be due to roundo error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-d git accuracy to minimize round ff error.

Explanation / Answer

momentum before throwing = momentum after throwing

m1*v1i + m2*v2i = m1*v1f + m2*v2f

v1i = speed of astronaut = 0.55 m/s

v2i = speed of wrench = 0.55 m/s

v1f = ?

v2f = speed of wrench = 13.93 m/s

(84*0.55) + (9.2*0.55) = (84*v1f) + (9.2*13.93)

v1f = -0.915 m/s

speed of astronaut = 0.915 m/s

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speed of wrench relative to the space station = 13.93 - 0.915 = 13.015 m/s

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