An alpha particle (a helium nucleus, having charge +2e and mass 6.64 × 10-27 kg) moves head-on at a fixed gold nucleus (having charge +79e) . If the distance of closest approach is 2.0 × 10-10 m, what was the speed of the alpha particle when it was very far away from the gold? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2, e = 1.60 × 10-19 C)
A) 2.3 × 105 m/s
B) 4.6 × 105 m/s
C) 2.3 × 106 m/s
D) 4.6 × 106 m/s
Correct Answer:
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