Qusti 3-Interstellar In an epic scene from the movie interstellar, Mathew McCona
ID: 115645 • Letter: Q
Question
Qusti 3-Interstellar In an epic scene from the movie interstellar, Mathew McConaughey and Anne Hathaway need to dock their spacecraft with a space station that is out of control, al thanks to Matt Damon. In the movie, they state the angular velocity of the space station is 68 rpm, while at the same time the spacecraft has no angular velocity. In the scene, side thrusters on the spacecraft are activated, to generate a couple moment, for a duration of 20 seconds bringing the spacecraft to the same angular velocity. The mass of the spacecraft is m = 10,000 kg and the radius of gyration is kG = 1.5 m. In this question you only need to consider the motion of the spacecraft Part I If the spacecraft has the dimensions shown below, how much force does each thruster need to generate to bring the spacecraft to 68 rpm. Part II Additionally, how many g forces (multiples of acceleration due to grvity, g 9.81ms2) do Mathew McConaughey and Anne Hathaway experience during this time? Passenge 1.5 mmExplanation / Answer
ANSWER:
That is our fake gravity force - make the person accelerate. There are two ways this person could accelerate in that direction. The person could increase in speed in that direction, this would be an acceleration. However, this would also change the velocity. For a station in orbit, this wouldn't work but it would be fine for a spaceship traveling to another star and accelerating. No, for the space station we need to do something else. The answer is to make the acceleration perpendicular to the velocity of the person so that the person moves in a circle.
When an object moves in a circle, the velocity vector is always changing and the direction of this change in velocity is towards the center of the circle. Acceleration is the rate of change of the velocity vector.
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