10. Using the idea that the force of gravity is equal to the centripetal force of an object in orbit, show the derivation of the Law of Periods using Newton's Law of Gravitation. (Hint: set these two equations equal to one another, the velocity of an object in nearly circular orbit is distance (the circumference of the circular orbit) over time (the period of orbit). 4 points Gm,m2 Fgravity r2 mv² Fcentripetal

Inquiry into Physics
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Author:Ostdiek
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Chapter2: Newton's Laws
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10. Using the idea that the force of gravity is equal to the centripetal force of an object in orbit, show
the derivation of the Law of Periods using Newton's Law of Gravitation. (Hint: set these two equations
equal to one another, the velocity of an object in nearly circular orbit is distance (the circumference of
the circular orbit) over time (the period of orbit). 4 points
Gm,m2
Fgravity =
r2
mv²
Fcentripetal
Transcribed Image Text:10. Using the idea that the force of gravity is equal to the centripetal force of an object in orbit, show the derivation of the Law of Periods using Newton's Law of Gravitation. (Hint: set these two equations equal to one another, the velocity of an object in nearly circular orbit is distance (the circumference of the circular orbit) over time (the period of orbit). 4 points Gm,m2 Fgravity = r2 mv² Fcentripetal
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