Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.