Which of the following statements about the translational angular momentum of th
ID: 2211616 • Letter: W
Question
Which of the following statements about the translational angular momentum of the space junk, about locationD, are true? Check all that apply:
An instant before the collision, when the space junk is almost at locationC, what is the translational angular momentum of the space junk about locationD?
=kg?m2/s
An instant after the collision, when the space junk is just slightly beyond locationC, what is the translational angular momentum of the space junk about locationD?
=kg?m2/s
At the same instant after the collision, what is the rotational angular momentum of the satellite?
ENERGY
Consider a system consisting of both objects (space junk and satellite).
Before the collision, what was the total kinetic energy (translational + rotational) of the system?
=joules
After the collision, what is the total kinetic energy of the system?
=joules
What was the rise in thermal energy for the space junk and satellite combined? (Your answer will be judged correct if it is consistent with earlier work, even if there were mistakes in the earlier work -- "propagation of errors".)
=joules
Explanation / Answer
ooks like you're off to a good start on this problem. There is some missing infomation: (1) Location C -- this defines the angular momentum of the space junk about the center of the satellite (2) The assumptions on whether this is an elastic or inelastic collision. Probably inelastic, but needs to be stated. (3)The distribution of the satellite mass in the sphere. Since you are using 2/5 in the equation it is uniformly distributed. What is conserved before/after the collision is the linear momentum (2 equations) and the angular momentum of both bodies about the satellite center (1 equation) First step would be to determine the final velocity of the satellite using the conservation of linear momentum. Next step is to calculate the initial total angular momentum (the satellite itself plus the motion of the junk about the satellite center). This is why the location C is important. Final step is to solve for the final spin of the satellite.
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