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# A centripetal force of 185 N acts on a 1,950-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet.

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A centripetal force of 185 N acts on a 1,950-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet. What is the radius of its orbit? in meters

Feb 1, 2021

#1
+11667
+1

A centripetal force of 185 N acts on a 1,950-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet. What is the radius of its orbit? in meters

Hello Guest!

$$F=\dfrac{mv^2}{R}\\ R=\dfrac{mv^2}{F}= \dfrac{1950kg\cdot 4800^2m^2}{s^2\cdot 185N}\cdot \dfrac{N\cdot s^2}{kg\cdot m}$$

$$R=24 2\ 85 4\ 054\ m$$

!

Feb 1, 2021
edited by asinus  Feb 1, 2021
edited by asinus  Feb 1, 2021

#1
+11667
+1

A centripetal force of 185 N acts on a 1,950-kg satellite moving with a speed of 4,800 m/s in a circular orbit around a planet. What is the radius of its orbit? in meters

Hello Guest!

$$F=\dfrac{mv^2}{R}\\ R=\dfrac{mv^2}{F}= \dfrac{1950kg\cdot 4800^2m^2}{s^2\cdot 185N}\cdot \dfrac{N\cdot s^2}{kg\cdot m}$$

$$R=24 2\ 85 4\ 054\ m$$

!

asinus Feb 1, 2021
edited by asinus  Feb 1, 2021
edited by asinus  Feb 1, 2021