Question

**(12.)** In nuclear fission, a nucleus splits
roughly in half. **(a)** What is the potential 3.00 ✕
10-14 m from a fragment that has 46 protons in it? 2.21e+06 V
**[My Answer** 2.21e+6 V] **(b)** What is
the potential energy in MeV of a similarly charged fragment at this
distance? [**My Answer** 102 MeV]

**(13)** In one of the classic nuclear physics
experiments at the beginning of the 20th century, an alpha particle
was accelerated toward a gold nucleus, and its path was
substantially deflected by the Coulomb interaction. If the energy
of the doubly charged alpha nucleus was 5.03 MeV, how close to the
gold nucleus (79 protons) could it come before being
deflected?**[My Answer:** 4.50e-14 m]

**(14)** Two charges q1 = −3.20 nC and q2 = +8.73
nC are at a distance of 1.98 μm from each other. q1 is fixed at its
location while q2 is released from rest.

**(a)** What is the kinetic energy of the charge q2
when it is 0.340 μm from q1? **[My Answer:** 0.612
J

**(b)** The charge q2 has a mass m2 = 7.85 μg. What is
its speed when it is 0.340 μm from q1?

**[My Answer:** 12500 m/s]

**(15)** A charge **q1** = 1.52 uC is
at a distance **d =** 1.23 m from a second charge
**q2 =** -6.07 uC

**(a)** Find the electric potential at a point A
between the two charges that is from q1. Note that the location A
in

the diagram above is not to scale. **[My Answer:**
-66500 V]

**(b)** Find a point between the two charges on the
horizontal line where the electric potential is zero. (Enter
your

answer as measured from q1.) **[My Answer:** 0.246
m]

**(16)** Four charges of equal magnitude q = 2.04
uC are situated (i.e., xy-plane) If d = 0.85m find electrical
potential at location A due to the four charges **[My
Answer:** -10800 V]

**(17)** In the diagram below, the two charges q1 =
+q and q2 = −2q are fixed in place [use xy-plane to diagram
program]. The distance between them is d = 5.35 m. Find the
distance x of the point A on the horizontal line where the net
electric potential due to the two charges is zero. [**My
Answer**: 3.09 m]

**(18)** Three point charges q1, q2 and q3 are
situated at three corners of a rectangle as shown in the diagram
below. Here q1 = +5.00 uC q2 = -5.00 uC, q3 = +6.00 uC
[**Note** side opposite q3 to q2 = 2.50 cm and side
opposite q1 to 12 = 5.00 cm]

**(a)** What is the electric potential at the free
corner where there is no charge?

**[My Answer:** 2.07e+06 V]

**(b)** What charge should be placed at the free
corner for the electric potential at the center of the rectangle to
be

zero? Include both magnitude and sign if applicable. **[My
Answer:** -6 μC]

**(19)** Two point charges q_{1} = +2.52 nC
and q_{2} = -2q_{1} are located along the x-axis as
shown in the diagram below. The

distance between the two charges is [use xy-plane]

(a) At what location A between the two charges on the x-axis will
the electric potential be zero?

[**My Answer**: x = 1.03 m]

Answer #1

12. (A) q = 46 x 1.6 x 10^-19 C

q = 7.36 x 10^-18 C

V = k q / r = (9 x 10^9)(7.36 x 10^-18) / (3 x 10^-14)

V = 2.21 x 10^6 Volt

(B) PE = q V = (7.36 x 10^-18)(2.21 x 10^6)

PE = 1.625 x 10^-11 J

PE (in eV) = (1.625 x 10^-11)/(1.6 x 10^-19) = 101.6 x 10^6 eV

PE = 101.6 MeV

13. KEi = 5.03 MeV = 5.03 x 10^6 x 1.6 x 10^-19 J

KEi = 8.048 x 10^-13 J

Applyng energy conservation,

PEi + KEi = PEf + KEF

0 + (8.048 x 10^-13) = k q1 q2 / r + 0

8.048 x 10^-13 = (9 x 10^9)(2 x 79)(1.6 x 10^-19)^2 / r

r = 4.52 x 10^-14 m

A charge q1 = 1.92 µC is at a distance d = 1.63 m from a second
charge q2 = −5.97 µC. a) Find the electric potential at a point A
between the two charges that is d/3 from q1. Note that the location
A in the diagram above is not to scale. b) Find a point between the
two charges on the horizontal line where the electric potential is
zero. (Enter your answer as measured from q1.)

Point charges q1=+2.00μC and q2=−2.00μC are placed at adjacent
corners of a square for which the length of each side is 3.50 cm .
Point a is at the center of the square, and point b is at the empty
corner closest to q2. Take the electric potential to be zero at a
distance far from both charges.
A point charge q3 = -5.00 μC moves from point a to point b. How
much work is done on q3 by...

Find the potential at point P for the rectangular grouping of
charges (q1 = -8.51 uC, q2 = 11.1 uC, q3 = 8.51 uC, L1 = 0.163 m
and L2 = 0.376 m) as shown in the figure below.
I got this answer (510434.7709 V) and it tells me its
incorrect!

Three point charges are placed on a set of coordinate axes. The
first, Q1 = 11.00 nC, is placed at the point
(-5.00 m, 0). The second, Q2 = 5.60 nC, is
placed at the point (4.00 m, 5.00 m). The third charge,
Q3 = 4.50 nC, is placed at the point
(4.00 m, -3.00 m).
What is the magnitude of the electric field at the origin
created by these three charges?

1) If the potential due to a point charge is
8.00×103V at a distance of 12.0 m, what are the sign and
magnitude of the charge?
2) There are two charges q1 = 35 μC and q2
= -50 μC fixed in place on the x-axis. q1 is located at
x=0 and q2 is located at x=0.5 What is the location on
the x-axis where the potential equals 0?
3) In nuclear fission, a nucleus splits roughly in half. (a)...

A source charge, which we'll treat as a point chage of 3.00 uc
is fixedin space. A second particle with mass 7.20x10^-3 kg and
charge -8.00 uc located 0.0450 m away is fired with an ninitla
speed 65.0 m/s idrectly at the -3.00 uc chage. What is the closest
the -8.00 uc will get to the -3.00 uc charge?
a. sketch a picture of this problem just as the particle is
fired and define a coordinate system.
b. what is...

Charge q1=1.00 nC is at x1 = 0 and charge
q2 = 3.00 nC is at x2 = 2.00 m. At what point
between the two charges is the electric field equal to zero?

A point charge q1=4.20 nC is fixed at the origin. A second point
charge q2=−7.80 nC is fixed at the point x=15.0 cm.
(a) Find the point on the +x axis where the electric potential
is zero.
(b) A third charge, q3=−2.30 nC is then placed at the point
x=20.0 cm. Find the net force acting on charge q2 due to the other
two charges.

Q4. Charge q1 = 2.0 nC is located at (0, 0) and
charge q2 = -4.0 nC is located at (-3.0 cm, 0).
Sketch a diagram of the charge distribution.
What is the electric potential at point A (2.0 cm,0)?
What is the electric potential at point B (3.0 cm, 0)?
What is the change of electric potential from A to B?
How much work is needed to move a third charge q3 =
2.0 nC from A to B?

Three charges q1=1.00 μC,
q2=−1.00 μC, and
q3=2.00 μC are placed in the
xy plane with q1 at the origin of the
coordinates, q2 on the x axis at
x2=3.00 m, and q3 at
x3=2.00 m and y3=3.00 m.
What is the total electric potential energy of the three-charge
system measured from the point with all of them infinitely
apart?
_________mJ

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