27.1 Physics 6C Special Relativity

# 27.1 Physics 6C Special Relativity - Physics 6C Special...

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Unformatted text preview: Physics 6C Special Relativity Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Two Main Ideas – The Postulates of Special Relativity • Light travels at the same speed in all inertial reference frames . • Laws of physics yield identical results in all inertial reference frames . Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Two Main Ideas – The Postulates of Special Relativity • Light travels at the same speed in all inertial reference frames . • Laws of physics yield identical results in all inertial reference frames . Inertial reference frames refer to observers moving at constant velocity with respect to each other. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Two Main Ideas – The Postulates of Special Relativity • Light travels at the same speed in all inertial reference frames . • Laws of physics yield identical results in all inertial reference frames . Inertial reference frames refer to observers moving at constant velocity with respect to each other. If there is a nonzero acceleration, the frames are not inertial, and we would need to use General Relativity. Way too much math for this course – sorry… Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Two Main Ideas – The Postulates of Special Relativity • Light travels at the same speed in all inertial reference frames . • Laws of physics yield identical results in all inertial reference frames . Inertial reference frames refer to observers moving at constant velocity with respect to each other. If there is a nonzero acceleration, the frames are not inertial, and we would need to use General Relativity. Way too much math for this course – sorry… The relationship between what is seen in the two reference frames is found via the Lorentz Transformation. We will see the following factor in all of our equations: 2 2 c v 1 1- = γ Here v is the relative speed of the frames, and c is the speed of light. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB The main results of Special Relativity are the following: 1) Time Dilation - if an object is moving, an observer will measure times to be longer (compared to the frame of the object itself) c v t t 1 t t 2 2 ∆ ⋅ γ = ∆ ⇔- ∆ = ∆ t refers to the object at rest in its own frame Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB The main results of Special Relativity are the following: 1) Time Dilation - if an object is moving, an observer will measure times to be longer...
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27.1 Physics 6C Special Relativity - Physics 6C Special...

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