Homework, 9 General Physics

# Homework, 9 General Physics - General Physics II Homework 9...

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General Physics II Homework 9 Worked Examples Giancoli: 20.17, 20.21, 20.25, 20.34, 20.78, 20.86 17.( a ) The velocity of the ion can be found using energy conservation. The electrical potential energy of the ion becomes kinetic energy as it is accelerated. Then, since the ion is moving perpendicular to the magnetic field, the magnetic force will be a maximum. That force will cause the ion to move in a circular path. ( b ) The period can be found from the speed and the radius. Use the expressions for the radius and the speed from above. 21. From Example 20-5, we have that , and so . The kinetic energy is given by and so we see that . 25. ( a )In the magnetic field, the proton will move along an arc of a circle. The distance x in the diagram is a chord of that circle, and so the center of the circular path lies on the perpendicular bisector of the chord. That perpendicular bisector bisects the central angle of the circle which subtends the chord. Also recall that a radius is perpendicular to a tangent. In the diagram, because they are vertical angles.

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