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

  1. Step 1: Use the magnetic Lorentz force formula: F = q v B * sin(theta).
  2. Step 2: With theta = 90 degrees, sin(90) = 1.
  3. Step 3: Substitute values: F = (1.6 10^-19 C) (2.0 10^6 m/s) 0.50 T.
  4. 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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