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First: Q1 = -4C to (0,0) Second: Q2 = -2C to (13,0) a) How much work was done? W

ID: 1375120 • Letter: F

Question

First: Q1 = -4C to (0,0)

Second: Q2 = -2C to (13,0)

a) How much work was done? Was this work done by or against the electric force? (Write answer in exponential notation, e.g. E-4)

At Point "p" (5m from Q1; 12m from Q2)

b) What is the potential, V after these charges are moved to these positions?

c) What is the electric field, E at point "p"?

A third charge, Q3 = -5C moves from far away to point "p".

d) What is the electric force, F, on Q3 when is arrives at "p"? What direction is it moving (angle relative to x-axis)?

e) If Q3 has a mass = 3 kg, what is its acceleration when it arrives at "p"?

PLEASE SHOW HOW YOU GET ANSWERS

Explanation / Answer

part A: Work Done in moving thse charges W = Kq1q2/r

where k is costant = 9e9

r is the disatnce between the charges

and

q1 and q2 arre the charges

so

W = 9e9 * 4* 2/(0.13)

W = 5.538 e 11 Joules   or   0.55 J in charges are taken in uC

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electric potential due to each charge is V = KQ/r

so

Vnet = V1 + V2

Vnet = (9e9 * 4/5)   + (9e9 * 2/12)

Vnet = 5.7 e9 Volts   or 5.7 kV if charges are taken in uC

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E due to each charge if KQ/r^2

so

En = E1+ E2

Enet = (9e9 * 4/25) + ( 9e9 * 2/144)

Enet = 1.565 *10^9 N/C

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apply ma = Eq

a = 1.565 e9 * 5 /3)

a = 2.61 *10^8 m/s^2