An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F = mv/r. Newton's Law of Universal Gravitation is given by F = GMm/d, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v = GM/r. Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 x 10* cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.) The orbit of a communications satellite R miles above the surface Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.] mi/s

icon
Related questions
Question

12.4 L

An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F = mv2/r. Newton's Law of Universal Gravitation is given by
F = GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v = V GM/r.
Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 x 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.)
The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on
Earth.]
mi/s
Transcribed Image Text:An object of mass m moves at a constant speed v in a circular path of radius r. The force required to produce the centripetal component of acceleration is called the centripetal force and is given by F = mv2/r. Newton's Law of Universal Gravitation is given by F = GMm/d2, where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. The speed required for circular motion is v = V GM/r. Use the result above to find the speed necessary for the given circular orbit around Earth. Let GM = 9.56 x 104 cubic miles per second per second, and assume the radius of Earth is 4000 miles. (Round your answer to two decimal places.) The orbit of a communications satellite R miles above the surface of Earth that is in geosynchronous orbit. [The satellite completes one orbit per sidereal day (approximately 23 hours, 56 minutes), and therefore appears to remain stationary above a point on Earth.] mi/s
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer