What is the K.E. of the satellite?

AI Thread Summary
To calculate the kinetic energy (K.E.) of a satellite in a sun-synchronous orbit at an altitude of 1300 km with a mass of 5,000 kg, the formula K = (1/2)mv^2 is applicable. The discussion highlights the importance of understanding circular motion to determine the satellite's velocity and subsequently its K.E. While some participants initially confused sun-synchronicity with orbital period, it was clarified that the altitude primarily influences the calculations. The satellite's orbital characteristics, including its acceleration, were also discussed, emphasizing the need for a grasp of basic physics principles. Ultimately, the focus remains on applying the correct formulas to derive the satellite's kinetic energy.
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A satellite has been placed in a circular, sun-synchronous orbit at an altitude of 1300.0 km. The satellite has a mass of 5,000.0 kg. What is the K.E. of the satellite?

I know K=(1/2)mv^2 ... but I have no idea where to go from here. I Know I am over-thinking this. So any help would be greatly appreciated!
 
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What forces act on the satellite in that orbit? What is its acceleration?
(I don't think the sun-synchronicity needs to be taken into account.)
 
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PeroK said:
The sun synchronicity is telling you how long the satellite takes to orbit. You could actually work this out using the radius if you know enough about circular motion, as suggested by haruspex above.

But I suspect you won't know enough physics yet so you have been given the period of orbit.

How long does the sun take to "orbit" the earth?
Interesting... it's not a term I'd come across, so I looked it up before answering the post. My reading is that sun synchronicity is not directly related to orbital period. Indeed, I read that typical sun synchronous orbits are at around 500-600km and take under two hours. The term refers to the orbits being so arranged that the Earth's oblateness causes the orbit to precess one day per year, thereby always appearing the same from the sun's perspective. Hence it didn't seem relevant to me.
 
Yes, you're right. It's not about the period at all. Apologies.
 
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