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A rocket ship of proper length l0 trav- els at constant speed v in the x-direction relative to a frame S. The nose of the ship passes the point x = 0 (in S) at time t = 0, and at this event a light signal is sent from the nose of the ship to the rear.
(a) Draw a space- time diagram showing the worldlines of the nose and rear of the ship and the photon in S.
(b) When does the signal get to the rear of the ship in S?
(c) When does the rear of the ship pass x = 0 in S?
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A metal sphere hangs from a string and has 4 kg of mass. The sphere has a charge of +2.3 µC. What is the electric force on the metal sphere if the magnitude of the electric field is 106 N/C
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