This problem tests magnetism and moving charges. The magnetic force magnitude is F = |q|vB sin θ, where the problem states velocity is perpendicular to B, making sin θ = 1. For a proton, q = 1.60×10⁻¹⁹ C, so F = (1.60×10⁻¹⁹ C)(2.0×10⁵ m/s)(0.60 T) = 1.92×10⁻¹⁴ N ≈ 1.9×10⁻¹⁴ N. Choice C appears to use an incorrect charge value or calculation error, producing a much smaller result. To calculate magnetic force correctly, always use the fundamental charge e = 1.60×10⁻¹⁹ C for protons and electrons, and verify that perpendicular motion means sin θ = 1.

This problem tests magnetism and moving charges. The magnetic force on a charged particle is F = qv × B sin θ, where θ is the angle between velocity and magnetic field. When velocity is parallel to the magnetic field (both upward), θ = 0°, making sin θ = 0 and thus F = 0. The force is zero not because the ion is stationary, but because parallel motion produces no magnetic force. Choice B incorrectly assumes all charged particles experience sideways force regardless of their motion direction relative to the field. Remember: magnetic force is maximum when v ⊥ B and zero when v ∥ B.

This question tests magnetism and moving charges. The magnetic force direction follows F = qv × B, perpendicular to both velocity and field. For velocity downward and field west, the right-hand rule gives force pointing south, but for a negative charge we reverse this to north. The perpendicular relationship ensures force is never parallel to velocity or field. Choice D incorrectly suggests force parallels velocity, a common misconception from everyday forces like friction. For negative charges, use the right-hand rule then flip the result.

This problem tests understanding of magnetism and moving charges. The magnetic force on a moving charge is perpendicular to both velocity and magnetic field, following F = qv × B. Using the right-hand rule: point fingers north (velocity), curl them west (field), and your thumb points downward for a positive charge. Since this is an electron with negative charge, we reverse the direction, making the force upward. Choice D shows the misconception that electrons in motion experience no force, when actually all moving charges experience magnetic force unless v is parallel to B. To solve magnetic force problems, apply the right-hand rule consistently, then reverse the result for negative charges.

This problem tests magnetism and moving charges. The magnetic force magnitude is F = qvB sin θ, where θ is the angle between velocity and magnetic field vectors. With a 30° angle between v and B, we have sin 30° = 0.5, giving F = qvB sin 30°. This correctly accounts for the component of velocity perpendicular to the field. Choice B incorrectly uses cosine instead of sine, confusing the perpendicular component calculation. To find magnetic force with non-perpendicular vectors, always use F = qvB sin θ, where θ is the angle between v and B.

This problem tests magnetism and moving charges. The magnetic force F = qv × B is always perpendicular to both the velocity vector and the magnetic field vector. Using the right-hand rule: point fingers north (velocity), curl them east (field), and the thumb points upward for a positive charge. However, since this is an electron with negative charge, we must reverse the direction, making the force downward. Choice D shows the misconception that negative charges experience no magnetic force, when actually they experience force in the opposite direction to positive charges. Always apply the right-hand rule first, then flip the direction for negative charges.

This problem tests magnetism and moving charges. The magnetic force on a moving charged particle is given by F = qv × B, where the force is perpendicular to both the velocity and magnetic field vectors. Using the right-hand rule: point your fingers east (velocity direction), curl them upward (field direction), and your thumb points north for a positive charge. Since the proton is positive, the force is indeed directed north. Choice D incorrectly assumes moving charges experience no force, missing that magnetic forces only act on moving charges. To solve these problems systematically, use the right-hand rule for positive charges, then reverse the direction for negative charges.

This problem tests magnetism and moving charges. The magnetic force F = qv × B acts perpendicular to both the velocity and magnetic field vectors. Using the right-hand rule: point fingers west (velocity), curl them south (field), and the thumb points downward for a positive charge. Since the particle has positive charge, the force is directed downward. Choice D shows the misconception that uniform fields produce no force, when actually the uniformity of the field doesn't affect whether force exists. To solve magnetic force problems, always use the right-hand rule systematically: fingers along velocity, curl toward field, thumb shows force direction for positive charges.

This problem tests magnetism and moving charges. The magnetic force magnitude is F = |q|vB sin θ, where θ is the angle between velocity and field. With velocity north and field downward, they are perpendicular (θ = 90°), so sin θ = 1. Calculating: F = (3.0×10⁻⁶ C)(1.0×10³ m/s)(0.80 T)(1) = 2.4×10⁻³ N. Choice B incorrectly assumes perpendicular vectors produce zero force, when this configuration actually produces maximum force. When solving for magnetic force magnitude, always check the angle between v and B: perpendicular gives maximum force, parallel gives zero force.

This problem tests magnetism and moving charges. The magnetic force on a moving charge is F = qv × B, perpendicular to both velocity and field vectors. Applying the right-hand rule: fingers point east (velocity), curl upward (field), giving thumb pointing north for a positive charge. Since this is an electron (negative charge), we reverse the direction, making the force point south. Choice D incorrectly states there's no force when v ⊥ B, which is actually when magnetic force is maximum. For any magnetic force problem, use the right-hand rule first, then remember to reverse the direction for negative charges like electrons.