Question

**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 of probes have launched, how fast will the station be spinning?

3.95 rpm |
||

6.77 rpm |
||

2.37 rpm |
||

5.64 rpm |

Answer #1

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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...

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,...

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 IS ALL ONE QUESTION, PLEASE ANSWER ALL PARTS!
a)We have a crate of mass 29.6 kg on an inclined surface, with a
coefficient of kinetic friction 0.144. Instead of pushing on the
crate, you let it slide down due to gravity. What must the angle of
the incline be, in order for the crate to slide with an
acceleration of 6.62 m/s^2?
b)Consider a non-rotating space station in the shape of a long
thin uniform rod of mass 8.10...

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...

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
old-fashioned telescope), without changing its overall mass.
Suppose that the station is initially rotating at a constant rate
of 2.35 rpm. If the length of the rod is reduced to 2.35 m, what
will be the new rotation rate of the space station?
3.86 rpm
8.37 rpm
2.32 rpm
6.44 rpm

We have a rod-shaped space station of length 1419 m and mass
8.35 x 10^6 kg, which can change its length (kind of like an
old-fashioned telescope), without changing its overall mass.
Suppose that the station is initially rotating at a constant rate
of 1.82 rpm. If the length of the rod is reduced to 1.82 m, what
will be the new rotation rate of the space station?
A. 8.7 rpm
B. 2.32 rpm
C. 7.25 rpm
D. 2.9 rpm

PART 1: This time we have a crate of mass 26.5
kg on an inclined surface, with a coefficient of kinetic friction
0.168. Instead of pushing on the crate, you let it slide down due
to gravity. What must the angle of the incline be, in order for the
crate to slide with an acceleration of 4.44 m/s^2?
A) 21.6 degrees
B) 50.4 degrees
C) 28.8 degrees
D) 36.0 degrees
PART 2: Different situation now. You re out in
space,...

A.) This time we have a crate of mass 27.8 kg on an inclined
surface, with a coefficient of kinetic friction 0.283. Instead of
pushing on the crate, you let it slide down due to gravity. What
must the angle of the incline be, in order for the crate to slide
with an acceleration of 3.12 m/s^2?
B.) Different situation now. You re out in space, on a rotating
wheel-shaped space station of radius 841 m. You feel planted firmly...

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