Review26 - contracted in the direction of motion. The...

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Modified from College Physics , 8 th Ed., Serway and Vuille. For the quizzes and tests, you should know all the concepts and equations in this summary. Section 26.3: Einstein's Principle of Relativity The two basic postulates of the special theory of relativity are as follows: 1. The laws of physics are the same in all inertial frames of reference. 2. The speed of light is the same for all inertial observers, independently of their motion or of the motion of the source of light. Section 26.4: Consequences of Special Relativity Some of the consequences of the special theory of relativity are as follows: 1. Clocks in motion relative to an observer slow down, a phenomenon known as time dilation . The relationship between time intervals in the moving and at-rest systems is p t t Δ = Δ γ [26.2] where Δ t is the time interval measured in the system in relative motion with respect to the clock, 2 2 / 1 1 c v = [26.3] and Δ t p is the proper time interval measured in the system moving with the clock. 2. The length of an object in motion is
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Unformatted text preview: contracted in the direction of motion. The equation for length contraction is / p L L = [26.4] where L is the length measured by an observer in motion relative to the object and L p is the proper length measured by an observer for whom the object is at rest. 3. Events that are simultaneous for one observer are not simultaneous for another observer in motion relative to the first. Section 26.5: Relativistic Momentum The relativistic expression for the momentum of a particle moving with velocity v is mv p = [26.5] Section 26.6: Relativistic Energy and the Equivalence of Mass and Energy The rest energy of an object is 2 mc E R = [26.7] The total energy of an object is R E E = [26.9] The kinetic energy of an object is the difference between the total energy and the rest energy: ) 1 ( 2 = = mc E E K R [26.7] Momentum is related to the total energy through the equation 2 2 2 2 R E c p E + = [26.10]...
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Review26 - contracted in the direction of motion. The...

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