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Earth travels around the Sun at a speed of 29.8 km/s. The radius of Planet X’s...

Earth travels around the Sun at a speed of 29.8 km/s. The radius of Planet X’s orbit is 3 times that of Earth’s orbit. What is the speed of Planet X?

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Answer #1

Gravitational constant = G

Mass of Sun = M

Mass of the Earth = m1

Radius of orbit of Earth = R1

Orbital speed of Earth = V1 = 29.8 km/s

The gravitational force of Sun on the Earth provides the centripetal force for the circular motion of Earth.

Mass of planet X = m2

Radius of orbit of planet X = R2 = 3R1

Speed of planet X = V2

The gravitational force of Sun on planet X provides the centripetal force for the circular motion of planet X.

V2 = 17.2 km/s

Speed of Planet X = 17.2 km/s

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