Solution: Centripetal Force An object of mass moves at a constant speed in a circular
Chapter 12, Problem 68(choose chapter or problem)
Centripetal Force 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 \(F=m v^{2} / r\). Newton's Law of Universal Gravitation is given by \(F=G M m / d^{2}\), where d is the distance between the centers of the two bodies of masses M and m, and G is a gravitational constant. Use this law to show that the speed required for circular motion is \(v=\sqrt{G M / r}\).
Text Transcription:
F=mv^2/r
F=GMm/d^2
v=sqrt GM/r
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