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An Alpha Particle (A Helium Nucleus, Having Charge +2e+ 2 e

question 30

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An alpha particle (a helium nucleus, having charge +2e+ 2 e and mass 6.64×1027 kg6.64 \times 10 ^ { - 27 } \mathrm {~kg} ) moves head-on at a fixed gold nucleus (having charge +79e+ 79 e ) . If the distance of closest approach is 2.0×1010 m2.0 \times 10 ^ { - 10 } \mathrm {~m} , what was the speed of the alpha particle when it was very far away from the gold? (k=1/4πε0=\left( k = 1 / 4 \pi \varepsilon _ { 0 } = \right. 9.0×109 Nm2/C2,e=1.60×1019C) \left. 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } , e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)

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