Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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?

Sagot :

Everest2017
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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.