A small moon with a mass of 100 kg orbits a very dense asteroid with a mass of 1 million kg. The time for one complete orbit is 100 days. The small moon’s orbit radius is 500 metres. a) Assuming that the orbit is perfectly circular, what is the speed of the small moon as it orbits the asteroid? State your result in scientific notation and in units of metres per second (m/s). b) Are the small moon’s speed and velocity constant as it orbits the asteroid? Why or why not in both cases? c) Calculate the centripetal force on the small moon as it orbits the asteroid (in newtons). d) Calculate the gravitational force between the small moon and the asteroid (in newtons). e) Compare your results of part c) and part d).

A small moon with a mass of 100 kg orbits a very dense asteroid with a mass of 1 million kg. The time for one complete orbit is 100 days. The small moon’s orbit radius is 500 metres. a) Assuming that the orbit is perfectly circular, what is the speed of the small moon as it orbits the asteroid? State your result in scientific notation and in units of metres per second (m/s). b) Are the small moon’s speed and velocity constant as it orbits the asteroid? Why or why not in both cases? c) Calculate the centripetal force on the small moon as it orbits the asteroid (in newtons). d) Calculate the gravitational force between the small moon and the asteroid (in newtons). e) Compare your results of part c) and part d).

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 47P: Let gM represent the difference in the gravitational fields produced by the Moon at the points on...

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