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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3.4.1 ?
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).
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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