Chapter2_13 - gravitational field. Thus, g m F g = with 2 e...

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PHY3063 R. D. Field Department of Physics Chapter2_13.doc University of Florida General Theory of Relativity Equivalence Principle (prelude to general relativity): It is not possible to distinguish by any experiment whatsoever between an accelerated frame and an inertial frame with an appropriate gravitational field. Consequence: Equivalence of gravitational and inertial mass. Frame 1 (at rest, gravity): Consider a mass m g (at rest) on the end of a spring in a
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Unformatted text preview: gravitational field. Thus, g m F g = with 2 e e R M G g = . Frame 2 (accelerated, no gravity): Now suppose the mass is on the end of the spring in an accelerated frame with acceleration a = g. In this frame g m a m F i i = = . Since both frame 1 and frame 2 must observe the same thing, m i = m g ! Earth M e R e Inertial frame in a gravity field Frame 1 m g a = g Accelerated frame (no gravity) Frame 2 m i...
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