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CE Predict/Explain Proton 1 moves with a speed v from the
Chapter 22, Problem 1P(choose chapter or problem)
Problem 1P
CE Predict/Explain Proton 1 moves with a speed v from the east coast to the west coast in the continental United States; proton 2 moves with the same speed from the southern United States toward Canada. (a) Is the magnitude of the magnetic force experienced by proton 2 greater than, less than, or equal to the force experienced by proton 1? (b) Choose the best explanation from among the following:
I. The protons experience the same force because the magnetic field is the same and their speeds are the same.
II. Proton 1 experiences the greater force because it moves at right angles to the magnetic field.
III. Proton 2 experiences the greater force because it moves in the same direction as the magnetic field.
Questions & Answers
QUESTION:
Problem 1P
CE Predict/Explain Proton 1 moves with a speed v from the east coast to the west coast in the continental United States; proton 2 moves with the same speed from the southern United States toward Canada. (a) Is the magnitude of the magnetic force experienced by proton 2 greater than, less than, or equal to the force experienced by proton 1? (b) Choose the best explanation from among the following:
I. The protons experience the same force because the magnetic field is the same and their speeds are the same.
II. Proton 1 experiences the greater force because it moves at right angles to the magnetic field.
III. Proton 2 experiences the greater force because it moves in the same direction as the magnetic field.
ANSWER:
Step 1 of 2:-
a)
Here, we have to find whether the proton 2 will experience a greater force than proton 1 or not.
We know that,
.
We also know that,
is maximum when they are perpendicular to each other.
And is zero when they are parallel to each other.
As the proton 2 moves in a direction parallel to the magnetic field, it will experience a lesser magnetic force than proton 1 which moves in perpendicular direction to the magnetic field.