A proton moves at a speed of due east as it enters a region of uniform magnetic field…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

A proton moves at a speed of 2.0×106 m s−12.0\times10^{6}\,\text{m}\,\text{s}^{-1} due east as it enters a region of uniform magnetic field of magnitude 0.25 T0.25\,\text{T} that is directed into the page (negative zz–direction). Ignore all forces except the magnetic force. (a) Calculate the magnitude of the magnetic force acting on the proton. (b) Identify the cardinal direction of this magnetic force. (c) If the proton’s speed were instantaneously doubled while all other conditions remained the same, state how the magnitude and the direction of the magnetic force would change. Justify each statement.

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