Answer: ![72.66 AU=1.089(10)^{10} km](https://tex.z-dn.net/?f=72.66%20AU%3D1.089%2810%29%5E%7B10%7D%20km)
Explanation:
Let's begin by explaining that according to Kepler’s Third Law of Planetary motion “The square of the orbital period
of a planet is proportional to the cube of the semi-major axis
of its orbit”:
(1)
Now, if
is measured in years (Earth years), and
is measured in astronomical units (equivalent to the distance between the Sun and the Earth:
), equation (1) becomes:
(2)
So, knowing
and isolating
from (2) we have:
(3)
(4)
Finally:
T
his is the distance between the dwarf planet and the Sun in astronomical units
Converting this to kilometers, we have:
![a=72.66 AU \frac{1.5(10)^{8}km}{1 AU}=1.089(10)^{10} km](https://tex.z-dn.net/?f=a%3D72.66%20AU%20%5Cfrac%7B1.5%2810%29%5E%7B8%7Dkm%7D%7B1%20AU%7D%3D1.089%2810%29%5E%7B10%7D%20km)
<span>b. The coefficient of static friction for all contacting surfaces is μs=0.35. neglect friction at the rollers.
</span>
The correct answer is D: Watt. This unit was named after James Watt, and
is used to express the equivalent of one joule per second in energy. In
experiments and on the packaging for electrical products such as light-bulbs, the measurement will usually be written in its abbreviated
format: W.
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