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Study Guide -- Gravity (Mr. Rogers AP Physics C ) |
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Universal Gravity Force |
F = (G∙M∙m) / r2 |
Simple |
x = (xmax) cos (ωt) |
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Gravity Field |
g = (G∙M) / r2 |
Harmonic |
v = -ω (xmax)
sin (ωt) |
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Motion |
a = -ω2 (xmax) cos (ωt) |
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Gravitational Potential Energy |
Ur
= - m [G(M) / r] |
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Air Resistance |
F = Bv |
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Centripetal Accel. |
a = m v2 / r |
Terminal Velocity |
vterminal = mg / B |
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Circular Orbit Velocity |
v = [(GM) / r]^0.5 |
V vs. time |
v = (mg / B) ( 1 - e - (b/m) t ) |
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Escape Velocity |
v = [(2GM) / r]^0.5 |
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Standard for gravitational potential energy: When deriving or calculating
the gravitational potential energy around a planet, infinity is assumed to be
zero potential energy. Hence, any distance less than infinity will have a
negative potential energy.
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Problem Solving Tips: Rotation |
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| Derivation of the time to fall through
a tunnel through the center of the Earth |
Derivation of escape velocity |
| Derivation of gravitational potential
energy equation |
Find g on a different planet: the
planet Zorg has twice as much mass and is half as big in diameter as
Earth. Find g on Zorg. |
| Derivation of circular orbit velocity |
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| force field |
escape velocity |
terminal velocity |
| air resistance |
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