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1095_Physics ProblemsTechnical Physics

# 1095_Physics ProblemsTechnical Physics - 436 Relativity v =...

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436 Relativity P39.2 (a) v v v T B = + = 60 0 . m s (b) v v v T B = = 20 0 . m s (c) v v v T B = + = + = 2 2 2 2 20 40 44 7 . m s P39.3 The first observer watches some object accelerate under applied forces. Call the instantaneous velocity of the object v 1 . The second observer has constant velocity v 21 relative to the first, and measures the object to have velocity v v v 2 1 21 = . The second observer measures an acceleration of a v v 2 2 1 = = d dt d dt . This is the same as that measured by the first observer. In this nonrelativistic case, they measure the same forces as well. Thus, the second observer also confirms that F a = m . P39.4 The laboratory observer notes Newton’s second law to hold: F a 1 1 = m (where the subscript 1 implies the measurement was made in the laboratory frame of reference). The observer in the accelerating frame measures the acceleration of the mass as a a a 2 1 = (where the subscript 2 implies the measurement was made in the accelerating frame of reference, and the primed acceleration term is the acceleration of the accelerated frame with respect to the
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