A proton with charge 1.6 10^-19 C moves at 2.0 10^6 m/s perpendicular to a magnetic field of 0.50 T. What is the magnitude of the magnetic Lorentz force?
Answer and explanation
Correct answer: D. 1.6 * 10^-13 N
- Step 1: Use the magnetic Lorentz force formula: F = q v B * sin(theta).
- Step 2: With theta = 90 degrees, sin(90) = 1.
- Step 3: Substitute values: F = (1.6 10^-19 C) (2.0 10^6 m/s) 0.50 T.
- Step 4: Multiply terms: F = 1.6 10^-19 1.0 10^6 = 1.6 10^-13 N.
Answer
1.6 * 10^-13 N.
Why not the others: '3.2 10^-13 N' forgets the 0.50 T factor; '8.0 10^-14 N' divides by 2 twice; '1.6 * 10^-19 N' ignores the particle velocity.
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