1. Consider Jupiter, which has an orbital size (a) of 5 AU.
- How long does it take to orbit the Sun once?
- What exactly is 5 AU, in this problems?
2. If an asteroid were discovered that took 2.5 years to orbit the Sun once, how far away from the Sun must it be (on average)?
3. Consider the planet Mars, with mass 1/10 that of Earth and a radius 1/2 as much. What is its acceleration due to gravity? Also, if it is 1.8 AU from the Sun, how long does it take to orbit the Sun? Finally, what is its average speed (in km/sec) around the Sun? To do this, you'll need to convert AU to km first.
Torque and Center of Mass
4. On a see-saw, a 40-kg child is located 1.5-m away from the fulcrum. Where must a 75-kg adult be located, to balance with the child?
5. In the above problem, the 40-kg child now moves twice as far away from the fulcrum as she originally was. A third child (25-kg) wanders in. If the adult remains in the same location as above, where can the third child sit to balance the see-saw?
Rotation
6. If a cd can go from rest to 400 revolutions per minute in 4 seconds, find the following:
a. the final angular velocity (in radians/sec) - this is a conversion
b. the angular acceleration required to get to this angular velocity
c. the linear speed of a point at the edge of the cd (radius = 0.06 m)
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