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In a Head-On Collision, an Alpha Particle (Z=2)( Z = 2 )

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In a head-on collision, an alpha particle (Z=2) ( Z = 2 ) of energy 8.20MeV8.20 \mathrm { MeV } bounces straight back from a nucleus of charge 80.0e80.0 \mathrm { e } . How close were the centers of the objects at closest approach? (1eV=1.60( 1 \mathrm { eV } = 1.60 ×1019 J,e=1.60×1019C,1/4πε0=8.99×109 Nm2/C2\times 10 ^ { - 19 } \mathrm {~J} , e = 1.60 \times 10 ^ { - 19 } \mathrm { C } , 1 / 4 \pi \varepsilon _ { 0 } = 8.99 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } )

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