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SECTION 1 Consider numbers of protons, each have the same mass individually, nam

ID: 1779913 • Letter: S

Question

SECTION 1 Consider numbers of protons, each have the same mass individually, namely 1.7 x 10 t of mass31e Assume that ie's made up of equal neutrons, and electrons. Remember that protons and neutrons g: electrons have negligible mass by magnitude 1.6 x 10" C comparison; and that the charge of an individual proton (or electron) has (a) How many protons does the object contain? Answer protons b) Now imagine taking all the protons out of the object and stuffing them into a box. Also take all of the electrons out of the object and stuff them in a second box. How much charge is contained in each box? Answer:- X10-C (e) Now imagine separating the two boxes-the one containing all the protons, the other containing all the electrons. Let's put them at a distance of Cs3m from one another. What will be the strength of the force of attraction between the two boxes? Answer:

Explanation / Answer

(A) Suppose there are n protons then there will be n neutrons.

hence M = 2n M_p

39 = 2 x n x (1.7 x 10^-27)

n = 1.147 x 10^28 protons

(B) Q = n e = 1.147 x 10^28 x 1.6 x 10^-19

Q = 1.835 x 10^9 C

(C) F = k q1 q2 / d^2

F = (9 x 10^9) (1.835 x 10^9)^2 / 5.3^2

F = 1.08 x 10^27 N

(d) PEi = -k q^2 / 5.3 = -5.718 x 10^27 J

PEf = --k q^2 / 6.3 = -4.81 x 10^27 J

Work done = PEf - PEi = 9.08 x 10^26 J

(e) F = k q^2 / 6.3^2

F = 7.64 x 10^26 N

a = F/ m =3.915 x 10^24 m/s^2