To initiate a nuclear reaction, an experimental nuclear physicist wants to shoot

Question

To initiate a nuclear reaction, an experimental nuclear physicist wants to shoot a proton into a ^12 C nucleus. The proton must impact the nucleus with a kinetic energy of 2.93MeV . The nuclear radius is 2.75 fm, and you can assume the nucleus remains at rest

With what speed must the proton be fired toward the target?
in (m/s)

Through what potential difference must the proton be accelerated from rest to acquire this speed?
in U = _____V

Please show work for good rating and correct answer
I have already tried (.5)(1.67262158*10^-27)(v^2)=4.68*10^-13 and its incorrect

Explanation / Answer

a)Conserving energy at both locations,

KE1=kq1q2/r+KE2

KE1=9*109*1.6*10-19*6*1.6*10-19/2.75*10-15+2.93*1.6*10-13=4.688*10-13

0.5mv2=4.688*10-13J

v=2.37*107m/s

b)The potential difference required is 2.93*106V

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