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what’s the radius of its orbit

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A centripetal force of 150 N acts on a 1,500 kg satellite moving with a speed of 4,600 m/s in a circular orbit around a planet. What is the radius of its orbit in meters?

Sep 2, 2022

#1
+14249
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What is the radius of its orbit in meters?

Hello Guest!

$$F_{\rm{zp}} = m \cdot {\frac{v^2}{r}}\\ r = m \cdot {\frac{v^2}{F_{\rm{zp}}}}\\ r=1\ 500kg\cdot \dfrac{4600^2m^2}{150N\cdot s^2}\cdot\dfrac{N\cdot s^2}{kg\cdot m}\\ \color{blue }r=211\ 600\ 000m$$

The radius of its orbit is 211 600 000m.

!

Sep 2, 2022