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In Physics / High School | 2014-08-14

A 1000 kg satellite travels with an orbital speed of 500 m/s around a planet at an orbital radius of 8000 km. What is the mass of the planet?

Asked by lolonik99

Answer (2)

The satellite revolves in a circular orbit and has a centripetal acceleration. This centripetal acceleration is caused by the gravitational attraction force of the planet.
m = mass of satellite M mass of planet R radius of the orbit V linear velocity tangential to the orbit G = gravitational constant
Centripetal force = m V² / R = gRGravitational Force = G Mm / R² So, V² = G M/R So, M = V² R / G = 500² * 8000 * 1000 / 6.67 * 10^-11 = 2.998 * 10^22 Kg

Answered by Everest2017 | 2024-06-10

To find the mass of the planet around which a satellite orbits, we use the formula M = G V 2 R ​ . Substituting the given values leads to the mass being approximately 2.998 × 1 0 22 kg .
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Answered by Everest2017 | 2024-10-31

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