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An alpha particle is a nucleus of helium. It has twice the charge and four times...

An alpha particle is a nucleus of helium. It has twice the charge and four times the mass of the proton. When they were very far away from each other but headed toward directly each other, a proton and an alpha particle each had an initial speed of 4.4×10−3c, where c is the speed of light. What is their distance from the closest approach? There are two conserved quantities. Make use of both of them. (c = 3.00 × 108 m/s, k = 1/4πε 0 = 8.99 × 109 N · m2/C2, e = 1.60 × 10-19 C, m proton = 1.67 x 10-27kg)

9.9×10−14 m is the correct answer, I don't know how to get to it though.

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