hi please help with this physics question 2.) A +9.0pC point charge is at held a

Question

hi please help with this physics question

2.) A +9.0pC point charge is at held at rest at the origin. A +3.0 C point charge is initially at rest "very far" away from the origin. (a) What is the potential due to the +9.0 C at the coordinates x = 6.0 mim, y = 0.0 mim. (b) How much work does it take to bring the 3.0 C point charge to that position (assuming it ends up at rest)? (c) If the charges, each with a mass of 1 g, were suddenly free to move from those positions, what would be the maximum speed of each charge? Explain your reasoning and justify your work using fundamental physics principles and definitions that we covered in class. -2

Explanation / Answer

let Q = +9 micro C
q = +3 micro C

a) potential at the given coardinates,

V = k*Q/d

= 9*10^9*9*10^-6/(6*10^-3)

= 1.35*10^7 V

b) Workdone to bring the charge q to the given point,

Q = change in potential energy

= q*(Vf - Vi)

= 3*10^-6*(1.35*10^7 - 0 )

= 40.5 J

c)

final kinetic energy of the two charges = change in potential energy

2*(1/2)*m*v^2 = U

m*v^2 = U

v = sqrt(U/m)

= sqrt(40.5/(1*10^-3))

= 201 m/s

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