Problem 1: An m = 80 kg astronaut has gone outside his space capsule to do some repair work. Unfor- tunately, he forgot to lock his safety tether in place, and he has drifted d = 5 m away from the capsule. Fortunately, he has a P = 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen. How long will it take him to reach safety? a) The momentum change Ap that the astronaut will achieve by firing the laser in a time interval At is Ap = energy emitted during At, where c is the speed of light (a very similar formula was cited in the textbook с for the situation when the energy is absorbed). The expression for the force in terms of the momentum change is F = Ap/At. Use this to express the acceleration experienced by the astronaut when he is firing the laser in terms of P and m. b) What distance the astronaut will be able to travel during the time he can fire the laser (1 h) with that acceleration? Assume that he starts the motion with zero velocity. c) If your calculation from b) is correct, 1 h is not sufficient to reach the space capsule, but the astronaut will continue to coast towards the spaceship with the speed that he reached by the time the laser battery died. Compute that speed and find the amount of time that it will take him to travel the rest of the distance. Together with 1 h of the battery life, what is the total time it will take him to reach the spaceship?
Problem 1: An m = 80 kg astronaut has gone outside his space capsule to do some repair work. Unfor- tunately, he forgot to lock his safety tether in place, and he has drifted d = 5 m away from the capsule. Fortunately, he has a P = 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen. How long will it take him to reach safety? a) The momentum change Ap that the astronaut will achieve by firing the laser in a time interval At is Ap = energy emitted during At, where c is the speed of light (a very similar formula was cited in the textbook с for the situation when the energy is absorbed). The expression for the force in terms of the momentum change is F = Ap/At. Use this to express the acceleration experienced by the astronaut when he is firing the laser in terms of P and m. b) What distance the astronaut will be able to travel during the time he can fire the laser (1 h) with that acceleration? Assume that he starts the motion with zero velocity. c) If your calculation from b) is correct, 1 h is not sufficient to reach the space capsule, but the astronaut will continue to coast towards the spaceship with the speed that he reached by the time the laser battery died. Compute that speed and find the amount of time that it will take him to travel the rest of the distance. Together with 1 h of the battery life, what is the total time it will take him to reach the spaceship?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hello, I really need help with part A, part b, and part C. I was wondering if you can help me with all three of these parts and can you label them as well. thank you
Transcribed Image Text:Problem 1: An m = 80 kg astronaut has gone outside his space capsule to do some repair work. Unfor-
tunately, he forgot to lock his safety tether in place, and he has drifted d = 5 m away from the capsule.
Fortunately, he has a P = 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only
chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He
has a 10-h supply of oxygen. How long will it take him to reach safety?
energy emitted during At
с
a) The momentum change Ap that the astronaut will achieve by firing the laser in a time interval At is
Ap =
where c is the speed of light (a very similar formula was cited in the textbook
for the situation when the energy is absorbed). The expression for the force in terms of the momentum
change is F = Ap/At. Use this to express the acceleration experienced by the astronaut when he is firing
the laser in terms of P and m.
b) What distance the astronaut will be able to travel during the time he can fire the laser (1 h) with that
acceleration? Assume that he starts the motion with zero velocity.
c) If your calculation from b) is correct, 1 h is not sufficient to reach the space capsule, but the astronaut
will continue to coast towards the spaceship with the speed that he reached by the time the laser battery
died. Compute that speed and find the amount of time that it will take him to travel the rest of the distance.
Together with 1 h of the battery life, what is the total time it will take him to reach the spaceship?
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