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Part iii only If we keep two protons at a distance of 1A\" from each other: (i)

ID: 1864971 • Letter: P

Question

Part iii only

If we keep two protons at a distance of 1A" from each other: (i) What would be the force on one proton from the other proton) If we could play God and change mass of the protons, how heavy would we have to make the protons to balance the electric and gravitational forces? (iii) The solar wind (a continuous flow of charged particles from the Sun) has about 10' particles/m; What is the average distance between protons in Solar Wind? By how much does the answer to (ii) change in this case? Why? (4,4,2 points)

Explanation / Answer

i)

q = charge on each proton = 1.6 x 10-19 C

r = distance between two protons = 1 x 10-10 m

force by one proton on other proton is given as

F = k q2/r2

F = (9 x 109) (1.6 x 10-19)2/(1 x 10-10)2

F = 2.3 x 10-8 N

ii)

m = mass of protons

gravitational force = electrical force

Gm2/r2 =  k q2/r2

(6.67 x 10-11) m2 = (9 x 109) (1.6 x 10-19)2

m = 1.86 x 10-9kg