IW 11 - Part A Begin Date: 3/19 2018 12:00:00 AM Due Date: 3/30/2018 11:59:00 PM

Question

IW 11 - Part A Begin Date: 3/19 2018 12:00:00 AM Due Date: 3/30/2018 11:59:00 PM End Date: 4/6/2018 11:59:00 PM (10%) Problem 5: An alpha particle (a helium nucleus, consisting of two protons and two neutrons) has a radius of approximately 1.6 x 10-15 m. A certain heavy nucleus contains 74 protons in addition to all its neutrons and has a radius of approximately 5.8x 10- 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 Grade Summary Potential Submissi 096 100% sin0 cotan asin acosO atanacotan sinho cosh()| tanh()cotanho lali--0 cosO onS 11 2131 Attempts remaining: 10 (0% per attempt) detailed view -.. , Degrees Radians Submit Hint I give up! Hints: 2% deduction pe r hint. Hints remaining:- Feedback: 1% deduction per feedback.

Explanation / Answer

given
q_alfa = +2*e

Q = +74*e

distance between the two nuclie when alfa particle reaches the surface of the nuclues,

d = r1 + r2

= 1.6*10^-15 + 5.8*10^-15

= 7.4*10^-15 m

now apply conservation of energy

initila kinetic energy = final electrostatic potential energy

KE = k*q_alfa*Q/d

= 9*10^9*2*1.6*10^-19*74*1.6*10^-19/(7.4*10^-15)

= 4.61*10^-12 J <<<<<<----------------Answer

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