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Initial Acceleration from Lorentz Force
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A charged particle with $$\frac{q}{m} = 2.0 \times 10^8$$ C/kg enters a region with crossed $$\vec{E}$$ and $$\vec{B}$$ fields where $$\vec{E} = 3.0 \times 10^4\, \hat{\jmath}$$ N/C and $$\vec{B} = 0.40\, \hat{\imath}$$ T. If the particle’s initial velocity is $$\vec{v} = 2.0 \times 10^5\, \hat{k}$$ m/s, what is its acceleration at the instant it enters the field region?

A

1.6 × 10¹³ ĵ m/s²

B

6.0 × 10¹² î m/s²

C

2.2 × 10¹³ ĵ m/s²

D

(1.6 × 10¹³ î - 6.0 × 10¹² ĵ) m/s²

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