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3.4. The path that the particle follows, its trajectory, is something that particle physicists study when they smash particles together in accelerators. From the outgoing trajectories, they can figure things out about the particles that produce them. Let's pretend we had the information shown in the simulation except we didn't know the particle's mass. 3.4.1. Use the information from the simulation to solve for the particles mass and show that it closely matches the true value shown in the window (2x10 kg ). Some hints: Use the grid to determine the needed displacements. Only the vertical direction, along the field, is relevant.

3.4. The path that the particle follows, its trajectory, is something that particle physicists study when they smash particles together in accelerators. From the outgoing trajectories, they can figure things out about the particles that produce them. Let's pretend we had the information shown in the simulation except we didn't know the particle's mass. 3.4.1. Use the information from the simulation to solve for the particles mass and show that it closely matches the true value shown in the window (2x10 kg ). Some hints: Use the grid to determine the needed displacements. Only the vertical direction, along the field, is relevant.

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3. For general electric fields, the strength and direction of the E-field typically changes with position and so calculus is needed to analyze how charged particles respond to them. However, if the E-field is uniform, the electric force on any charged particle will be constant and the particle will experience a constant acceleration. In this case, the motion of a charged particle will be like a mass undergoing projectile motion and so basic kinematics can be used. 3.1. Load up the oPhysics simulation listed above. The simulation is that of a charged particle shot into a region of constant E-field. Feel free to play with the simulation for a moment. 3.2. If you changed any settings, reload the page to start over. The only variable we will change is the E-field strength. Decrease the E-field strength by an order of magnitude (so that is now 100N/C). 3.3. Fire the particle. It will undergo constant acceleration and slam into the top plate. 3.3.1. The green arrows represent the uniform electric field between the plates. Without referring to the settings, how can we tell from the motion the sign of the particle's charge, if any? Be specific. 3.4. The path that the particle follows, its trajectory, is something that particle physicists study when they smash particles together in accelerators. From the outgoing trajectories, they can figure things out about the particles that produce them. Let's pretend we had the information shown in the simulation except we didn't know the particle's mass. 3.4.1. Use the information from the simulation to solve for the particles mass and show that it closely matches the true value shown in the window ( 2x10 kg ). Some hints: Use the grid to determine the needed displacements. Only the vertical direction, along the field, is relevant. Remember, you are solving for the mass, not plugging it in. This is essentially a 1D kinematics problem (chapter 2).
Transcribed Image Text:3. For general electric fields, the strength and direction of the E-field typically changes with position and so calculus is needed to analyze how charged particles respond to them. However, if the E-field is uniform, the electric force on any charged particle will be constant and the particle will experience a constant acceleration. In this case, the motion of a charged particle will be like a mass undergoing projectile motion and so basic kinematics can be used. 3.1. Load up the oPhysics simulation listed above. The simulation is that of a charged particle shot into a region of constant E-field. Feel free to play with the simulation for a moment. 3.2. If you changed any settings, reload the page to start over. The only variable we will change is the E-field strength. Decrease the E-field strength by an order of magnitude (so that is now 100N/C). 3.3. Fire the particle. It will undergo constant acceleration and slam into the top plate. 3.3.1. The green arrows represent the uniform electric field between the plates. Without referring to the settings, how can we tell from the motion the sign of the particle's charge, if any? Be specific. 3.4. The path that the particle follows, its trajectory, is something that particle physicists study when they smash particles together in accelerators. From the outgoing trajectories, they can figure things out about the particles that produce them. Let's pretend we had the information shown in the simulation except we didn't know the particle's mass. 3.4.1. Use the information from the simulation to solve for the particles mass and show that it closely matches the true value shown in the window ( 2x10 kg ). Some hints: Use the grid to determine the needed displacements. Only the vertical direction, along the field, is relevant. Remember, you are solving for the mass, not plugging it in. This is essentially a 1D kinematics problem (chapter 2).
3.2, 3-3, 3-34) Charged Particle in an Electric Field w hen E = 100 Nlc, Rest values time in field = 141 ns are default. Jhe blue dotted þath shows Run the path of change in ? Reset freld. As the charge à drifted upward, And E upward, SO Forre on change ià upward. Ihis 1s pessible when q>o Up Down Show Voltage V Show Electric Field Intensity Electric Field (N/C) 100 Distance Between Plates (cm) 5 s. change must be positive. V Show Grid So 1 cm Initial Velocity (x 10% m/s) Charge of Particle (uC) 5 Particle Mass (x1016 kg) |2
Transcribed Image Text:3.2, 3-3, 3-34) Charged Particle in an Electric Field w hen E = 100 Nlc, Rest values time in field = 141 ns are default. Jhe blue dotted þath shows Run the path of change in ? Reset freld. As the charge à drifted upward, And E upward, SO Forre on change ià upward. Ihis 1s pessible when q>o Up Down Show Voltage V Show Electric Field Intensity Electric Field (N/C) 100 Distance Between Plates (cm) 5 s. change must be positive. V Show Grid So 1 cm Initial Velocity (x 10% m/s) Charge of Particle (uC) 5 Particle Mass (x1016 kg) |2
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