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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
Earth’s 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
92𝑈 . 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
92𝑈 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
92𝑈
148
57𝐿𝑎
and 35?𝐵𝑟 , along
nucleus is greater or less than the mass of the fission products –
iii) Describe what form of energy the 2.5x10 -11J is located.
iv) Calculate the mass difference between the original
235
92𝑈
and all of the fission products.