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
-----------------
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
------------------------
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
----------------------------
apply ma = Eq
a = 1.565 e9 * 5 /3)
a = 2.61 *10^8 m/s^2
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