Circular Motion

# Circular Motion - CIRCULAR MOTION GRAVITATION CENTRIPETAL...

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CIRCULAR MOTION GRAVITATION

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CENTRIPETAL FORCE F = ma a = v 2 r a = 4· π 2 ·r T 2 v = Velocity in circle(m/s) r = Radius of circle (m) T = Period of the mass in the circle (s)
GRAVITATIONAL FORCE F = G · M · m r 2 G = 6.67 x 10 m 11 N·m 2 /kg 2 M = larger mass (kg) m = smaller mass (kg) r = distance separating the mass centers

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GRAVITATIONAL FIELD STRENGTH g = G · M r 2 G = 6.67 x 10 m 11 N·m 2 /kg 2 M = larger mass (kg) r = distance to the center of the large mass (m)
KEPLER’S LAW T A 2 = T B 2 r A 3 r B 3 T A = Orbital period of mass A T B = Orbital period of mass B r A = Radius of orbit of mass A r B = Radius of orbit of mass B NOTE: Both mass A & B must be orbiting the same object.

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ESCAPE VELOCITY ν = 2·G·M r G = 6.67 x 10 m 11 N·m 2 /kg 2 M = larger mass (kg) r = distance to the center of the large mass (m)
SATELLITE IN ORBIT • Orbital Velocity • Kinetic Energy in Orbit • Total Energy of the Orbiting Satellite ν = G·M r KE = ½ · m · ν 2 TOTAL ENERGY = KINETIC ENERGY + POTENTIAL ENERGY

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## This note was uploaded on 11/18/2010 for the course CPHY 101 taught by Professor Jay during the Spring '10 term at University of Massachusetts Boston.

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Circular Motion - CIRCULAR MOTION GRAVITATION CENTRIPETAL...

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