Suppose an asteroid has a tiny moon orbiting around it (which does occur). If the moon is 1.1 km wide, is 142 km from the center of the asteroid (which is 36 km in diameter), and assuming the moon has a circular orbit around the asteroid of period 36 hours, what is the mass of the asteroid? m = kg [Note: Use exponential notation for your answer with a format "9.99E12" for 9.99 x 1012.] What would the radius of the orbit of the same tiny moon be if it had an orbital period of 50.9 hours? Give your answer in km: R = km What is the density of the asteroid? Recall that density is mass per unit volume. The volume of the asteroid can be calculated based on its diameter (assume it is spherical in shanel

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.12P
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Suppose an asteroid has a tiny moon orbiting around it
(which does occur). If the moon is 1.1 km wide, is 142
km from the center of the asteroid (which is 36 km in
diameter), and assuming the moon has a circular orbit
around the asteroid of period 36 hours, what is the
mass of the asteroid?
m =
kg [Note: Use exponential notation
for your answer with a format "9.99E12" for 9.99 x
1012.]
What would the radius of the orbit of the same tiny
moon be if it had an orbital period of 50.9 hours? Give
your answer in km:
R =
km
What is the density of the asteroid? Recall that density
is mass per unit volume. The volume of the asteroid
can be calculated based on its diameter (assume it is
spherical in shape).
Р
kg/m³
Transcribed Image Text:Suppose an asteroid has a tiny moon orbiting around it (which does occur). If the moon is 1.1 km wide, is 142 km from the center of the asteroid (which is 36 km in diameter), and assuming the moon has a circular orbit around the asteroid of period 36 hours, what is the mass of the asteroid? m = kg [Note: Use exponential notation for your answer with a format "9.99E12" for 9.99 x 1012.] What would the radius of the orbit of the same tiny moon be if it had an orbital period of 50.9 hours? Give your answer in km: R = km What is the density of the asteroid? Recall that density is mass per unit volume. The volume of the asteroid can be calculated based on its diameter (assume it is spherical in shape). Р kg/m³
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