Starting from Newton’s law of universal gravitation, show that for a small object of mass m in a circular orbit of radius r with a large mass M in the center (M >>m), the orbital speed v of the small mass is? = (??/?)1/2 Show that the total mechanical energy can be written as E = -K, where K is the kinetic energy of mass m.

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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Starting from Newton’s law of universal gravitation, show that for a small object of mass m in a circular orbit of radius r with a large mass M in the center (M >>m), the orbital speed v of the small mass is
? = (??/?)1/2

Show that the total mechanical energy can be written as E = -K, where K is the kinetic energy of mass m.

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