4. Let us attempt to achieve orbit-like motion using electric fields. (a) Calculate how large v needs to be to balance out the Coulomb attraction. Assume M>>m so that the larger ball doesn't move and cause binary motion. Also assume ɛg. (b) Plot and label the vertical and horizontal position of the smaller ball over time, taking the center of the larger ball as the origin. Pay special attention to labelling amplitude and period. Hint: the initial condition below shows the ball at x = ro, y = 0. 3D ro -Q,M +g.m х 5. Plot and label the horizontal velocity of the ball as a function of time. Pay special attention to labelling v, when t = 0, and t when v, = 0. 1D Vo +6q,m

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4. Let us attempt to achieve orbit-like motion using electric fields.
(a) Calculate how large v needs to be to balance out the Coulomb attraction. Assume M>>m so
that the larger ball doesn't move and cause binary motion. Also assume ɛg.
(b) Plot and label the vertical and horizontal position of the smaller ball over time, taking the center
of the larger ball as the origin. Pay special attention to labelling amplitude and period. Hint: the
initial condition below shows the ball at x = ro, y = 0.
3D
ro
-Q,M
+g.m
х
5. Plot and label the horizontal velocity of the ball as a function of time. Pay special attention to
labelling v, when t = 0, and t when v, = 0.
1D
Vo
+6q,m
Transcribed Image Text:4. Let us attempt to achieve orbit-like motion using electric fields. (a) Calculate how large v needs to be to balance out the Coulomb attraction. Assume M>>m so that the larger ball doesn't move and cause binary motion. Also assume ɛg. (b) Plot and label the vertical and horizontal position of the smaller ball over time, taking the center of the larger ball as the origin. Pay special attention to labelling amplitude and period. Hint: the initial condition below shows the ball at x = ro, y = 0. 3D ro -Q,M +g.m х 5. Plot and label the horizontal velocity of the ball as a function of time. Pay special attention to labelling v, when t = 0, and t when v, = 0. 1D Vo +6q,m
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