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A proton of mass mp and charge e is in a box that contains an electric field E, and the box is located in Earthβs magnetic field BEarth. The proton moves with an initial velocity v vertically upward from the surface of Earth. Assume gravity is negligible. (a) On the diagram above, indicate the direction of the electric field inside the box so that there is no change in the trajectory of the proton while it moves upward in the box. Explain your reasoning. (b) Determine the speed of the proton while in the box if it continues to move vertically upward. Express your answer in terms of the fields and the given quantities. The proton now exits the box through the opening at the top, and out of the electric field. (c) On the figure, sketch the path of the proton after it leaves the box. (d) Determine the magnitude of the acceleration a of the proton just after it leaves the box, in terms of the given quantities and fundamental constants. The momentum of a particular proton is 5.5x10-20 kg*m/s. Relativistic effects can be ignored throughout this question. (a) Calculate the de Broglie wavelength of the proton. In 1 sentence explain why a proton can have a wavelength. The proton is directed toward a very distant stationary uranium nucleus, 235 92π . The proton reaches a distance D from the center of the nucleus and then reverses direction. Assume that the nucleus is heavy enough to remain stationary during the interaction. (b) Calculate the value of D. (c) After the proton has moved away, the 235 92π nucleus spontaneously fissions into with three neutrons. As a result, 2.5 x 10-11 J of energy is released i) indicate the unknown atomic mass for the Br atom. ii) Indicate whether the mass of the explain. 235 92π 148 57πΏπ and 35?π΅π , along nucleus is greater or less than the mass of the fission products β iii) Describe what form of energy the 2.5x10 -11J is located. iv) Calculate the mass difference between the original 235 92π and all of the fission products.