Problem 7.1 Two particles of equal charge and equal mass travel at the same speed v but in opposite directions. Their initial trajectories are straight lines separated by a distance b. Owing to their mutual repulsion, they will reach a point of closest approach and then move away from each other. The electrical force between the charges is given by F = (q²/4лor²). The vector rê is drawn from one particle to the other. Although it is unrealistic to do so, ignore the magnetic force between the moving charges. (a) Draw the trajectories of the two particles, indicating the electric forces acting on them. (b) Explain whether or not the angular momentum of the system is constant. (c) Do your answers depend on your choice of coordinate origin?

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Problem 7.1 Two particles of equal charge and equal mass travel at the same speed v but in opposite
directions. Their initial trajectories are straight lines separated by a distance b. Owing to their mutual
repulsion, they will reach a point of closest approach and then move away from each other. The electrical
force between the charges is given by F = (q²/4ñer² )î. The vector rê is drawn from one particle to the
other. Although it is unrealistic to do so, ignore the magnetic force between the moving charges. (a) Draw
the trajectories of the two particles, indicating the electric forces acting on them. (b) Explain whether or not
the angular momentum of the system is constant. (c) Do your answers depend on your choice of coordinate
origin?
Transcribed Image Text:2 2 Problem 7.1 Two particles of equal charge and equal mass travel at the same speed v but in opposite directions. Their initial trajectories are straight lines separated by a distance b. Owing to their mutual repulsion, they will reach a point of closest approach and then move away from each other. The electrical force between the charges is given by F = (q²/4ñer² )î. The vector rê is drawn from one particle to the other. Although it is unrealistic to do so, ignore the magnetic force between the moving charges. (a) Draw the trajectories of the two particles, indicating the electric forces acting on them. (b) Explain whether or not the angular momentum of the system is constant. (c) Do your answers depend on your choice of coordinate origin?
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