A magnetic field of 0.0200 T [up] is created in a region....

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A magnetic field of 0.0200 T directed upwards interacts with an electron moving at 5.00 x 10^6 m/s towards the north, resulting in a calculated magnetic force of 1.6 x 10^-14 N directed west. The discussion highlights confusion among classmates regarding the direction of the magnetic field and the electron's velocity, with some incorrectly asserting that the magnetic field changes due to the electron's motion. Clarification emphasizes that the magnetic field remains constant and the force direction is determined at the moment the electron enters the field. The importance of correctly interpreting magnetic field directions is noted, as it can lead to misunderstandings in problem-solving. Overall, the original calculation and understanding of the magnetic force direction were affirmed as correct.
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Homework Statement


A magnetic field of 0.0200 T [up] is created in a region

Find the initial magnetic force on an electron initially moving at 5.00 X 10^6 m/s [N] in the field.

Homework Equations


Work clarification and I would like to ask a question in relation to the direction of FM.

The Attempt at a Solution


My answer,
FM=(1.6*10^(-19) C)(5.00*10^6 m/s)(0.0200 T)
FM=1.6 x 10^-14 N

Since it is an ELECTRON, it would alter the direction of velocity, changing it from NORTH to SOUTH . With that said, Magnetic field is [UP], Velocity is [SOUTH] and FM is [WEST]. Therefore my final answer is FM=1.6 x 10^-14 N [WEST].[Is my answer right?]I'm unsure of my answer (Above.) as I was told from 2 of my classmates that I did it wrong. They said that an ELECTRON changes both Velocity's and Magnetic field's direction. However, I looked at the examples my teacher did and he only changed Velocity's direction.So I was just wondering who's approach is right, my friends or mine?
 
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You did fine. The magnetic field is assumed to be externally generated and held constant. Besides, the question is looking for the initial force direction, which means at the first instant the electron encounters the field. So there would be no time for the field to change (which it doesn't, anyways).

I wonder how your friends handled their changing magnetic field direction? :wideeyed:
 
Does anyone else see a problem with using North East and Up coordinates for a magnetic field problem? N and S mean something specific in a magnetic field. I mean I'm sure this is worked correctly due to the statement that the field is "up". However normally if you tell me a particle is moving north in a magnetic field I'm going to think it is traveling along the field lines toward the north magnetic pole. I think this is unnecessarily confusing.
 
Cutter Ketch said:
Does anyone else see a problem with using North East and Up coordinates for a magnetic field problem? N and S mean something specific in a magnetic field. I mean I'm sure this is worked correctly due to the statement that the field is "up". However normally if you tell me a particle is moving north in a magnetic field I'm going to think it is traveling along the field lines toward the north magnetic pole. I think this is unnecessarily confusing.
So, it's a great case of, "Don't confuse the map for the territory" :smile:

Magnet polarities were first defined by noting which end of a bar magnet (compass needle) was attracted to and hence pointed towards the geographic north. Of course, that mean that the pole that sits near the geographic pole is really a magnetic south pole...
 
gneill said:
You did fine. The magnetic field is assumed to be externally generated and held constant. Besides, the question is looking for the initial force direction, which means at the first instant the electron encounters the field. So there would be no time for the field to change (which it doesn't, anyways).

I wonder how your friends handled their changing magnetic field direction? :wideeyed:

Oddly enough, my classmates lost marks for changing the magnetic field. When my teacher asked how they changed the Magnetic field, they simply said "Because of the electron." and my teacher went on to explain how that is not the case. In short, he basically said what you said.

Thank you so much for reviewing my work and for clarifying the change in direction. I would of thanked you earlier but I was in class. Again thank you!
 
You're welcome. Glad I could help.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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