Question

A.) Consider a non-rotating space station in the shape of a long thin uniform rod of mass 4.20 x 10^6 kg and length 953 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.40 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 1 minutes and 26 seconds before shutting off, then how fast will the station be rotating when the engines stop?

Multiple choice

0.86 rpm

1.51 rpm

2.27 rpm

1.08 rpm

B.) This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 6.23 x 10^6 kg and length 927 meters. Small probes of mass 7442 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 4134 m/s with respect to the launch points, which are each located 345 m from the center of the rod. After 14 pairs of probes have launched, how fast will the station be spinning?

Multiple choice

3.05 rpm

6.36 rpm

5.09 rpm

8.90 rpm

Answer #1

A.) Consider a non-rotating space station in the shape of a long
thin uniform rod of mass 4.96 x 10^6 kg and length 530 meters.
Rocket motors on both ends of the rod are ignited, applying a
constant force of F = 4.99 x 10^5 N to each end of the rod as shown
in the diagram, causing the station to rotate about its center. If
the motors are left running for 1 minutes and 28 seconds before
shutting off,...

This time we have a non-rotating space station in the shape of a
long thin uniform rod of mass 1.88 x 10^6 kg and length 1447
meters. Small probes of mass 9779 kg are periodically launched in
pairs from two points on the rod-shaped part of the station as
shown, launching at a speed of 3576 m/s with respect to the launch
points, which are each located 412 m from the center of the rod.
After 17 pairs of probes...

Question 7
This time we have a non-rotating space station in the shape of a
long thin uniform rod of mass 3.73 x 10^6 kg and length 1428
meters. Small probes of mass 7553 kg are periodically launched in
pairs from two points on the rod-shaped part of the station as
shown, launching at a speed of 4962 m/s with respect to the launch
points, which are each located 384 m from the center of the rod.
After 13 pairs...

Consider a non-rotating space station in the shape of a long
thin uniform rod of mass 6.65 x 10^6 kg and length 574 meters.
Rocket motors on both ends of the rod are ignited, applying a
constant force of F = 9.48 x 10^5 N to each end of the rod as shown
in the diagram, causing the station to rotate about its center. If
the motors are left running for 2 minutes and 21 seconds before
shutting off, then...

THIS IS ALL ONE QUESTION, PLEASE ANSWER ALL PARTS!
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b)Consider a non-rotating space station in the shape of a long
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Now we have a rod-shaped space station of length 1407 m and mass
4.47 x 10^6 kg, which can change its length (kind of like an
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Suppose that the station is initially rotating at a constant rate
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3.86 rpm
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6.44 rpm

We have a rod-shaped space station of length 1419 m and mass
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Suppose that the station is initially rotating at a constant rate
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A. 8.7 rpm
B. 2.32 rpm
C. 7.25 rpm
D. 2.9 rpm

A space station in the shape of a uniform disk (mass
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A thin uniform rod has a length of 0.430 m and is rotating in a
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A thin uniform rod has a length of 0.490 m and is rotating in a
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