Physics 2 Quiz
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A student is computing the force on a charge q=−2 μCq = -2 \, \mu\text{C} moving with velocity v=3×105x^ m/s\mathbf{v} = 3 \times 10^5 \hat{x} \text{ m/s} through a magnetic field B=0.4z^ T\mathbf{B} = 0.4 \hat{z} \text{ T}. Using the Lorentz force law F=qv×B\mathbf{F} = q\mathbf{v} \times \mathbf{B}, the student evaluates the cross product as x^×z^=−y^\hat{x} \times \hat{z} = -\hat{y} and writes: F=(−2×10−6)(3×105)(0.4)(−y^)=+0.24y^ N\mathbf{F} = (-2 \times 10^{-6})(3 \times 10^5)(0.4)(-\hat{y}) = +0.24 \hat{y} \text{ N} The student claims: 'The force is in the +y^+\hat{y} direction because the negative charge reverses the direction from the cross product result.'
Which of the following correctly evaluates the student's cross product, sign handling, and final force direction?
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