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What is the same in Einstein’s first postulate?

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a) b) 6. 6. a) 6. b) 6. c) (Barn-pole paradox) As shown in the figure below, a barn with a (resting) width of w = 5.0m is at rest on the ground. A pole with a resting length of 1 = 6.0m is flying towards the barn at a fast speed of 0.8c relative to the barn. (c denotes the speed of light.) Calculate the length of the pole as measured by an observer that is at rest with the barn (standing on the direction of motion of the pole). Calculate the width of the barn as measured by an observer that is at rest with the pole (sitting on the pole and flying towards the barn). From your calculations for parts (a) and (b), it is evident that the observer on the ground thinks that the pole can fit in the barn, while the observer on the pole thinks that the pole cannot fit in the barn. Suppose that the barn is equipped with automatic front and back doors. Use the relativistic nature of simultaneity to explain the barn-pole paradox: can the front and back doors momentarily trap the pole in the barn…
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Physics - Thoery of Relativity According to the twin paradox argument, a space traveller should age less than a stay-at-homefriend. But relative to the space traveller, the stay-at-home friend made the journey and shouldtherefore have aged less. The two perspectives seem symmetrical. What is wrong with thisargument?
1) A 5-kg particle's momentum is (211, 329) kg*m/s. Calculate its kinetic energy. 2)Calculate the x-component of vSJ. vS = 6 km/s vJ = 9 km/s θ = 23o 3) In Jupiter's frame, the incoming spacecraft is moving rightward and upward, at 45o. The outgoing spacecraft, having already flown by, is going at the same relative speed, but leftward and upward, also at 45o. (See the figures.) You are going to transform back to the sun's frame and calculate the final outgoing speed. You need to follow several steps: Calculate the vector components of the outgoing vSJ. Add Jupiter's vector velocity to get the outgoing vS. Finally calculate the outgoing speed, vS = |vS| in km/s. Enter that as the final answer. use these parameters: vSJ = 4 km/s vJ = 8 km/s
A way to measure the length of an object moving at known(relativistic) speed is to measure the interval between the passage of referencepoints past an observer. By considering the times at which the leading and trailling ends of a moving rod pass an observer, and applying Lorentz transformations,show that the same expression for length contraction as : L=yo-1L' is obtained,draw a spacetime diagram if needed

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