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ETA$18-$ Collisions Begin Date: $11/21/20249$:$00$:$00$ AM Due Date: $11/28/202411$:$59$:$00$ PM End Date: $12/30/202411$:$59$:$00$ PM

Problem $4$: $(20\%$ of Assignment Value$)$

An alpha particle $($a helium nucleus, consisting of two protons and two neutrons$)$ has a radius of approximately $1\mathrm{.}6{10}^{-15}m.$ A certain heavy nucleus contains $74$ protons in addition to all its neutrons and has a radius of approximately $5\mathrm{.}8{10}^{-15}m.$ An alpha particle is shot directly from a large distance at such a resting heavy nucleus.

Assuming that the heavy nucleus remains at rest during the ensuing process, what initial kinetic energy, in joules, must the alpha particle have in order to just reach the surface of the heavy nucleus.