Question

5. Two identical metal spheres are placed 15.0 cm apart. A charge of 6.00 µC is placed on one sphere while a charge of −2.00 µC is placed upon the other. What is the force on each sphere? If the two spheres are brought together and touched and then separated to their original separation, what will be the force on each sphere?

Answer: F_{12} =4.80 N
attractive q = 2.00
μC
F_{12} = 1.60 N repulsive

7. Three charges q1 = 2.00 µC, q2 = 5.00 µC, and q3 = 8.00 µC are placed along the x-axis at 0.00, 45.0 cm, and 72.4 cm respectively. Find the force on each charge.

Answer: F3= 5.08

Step by step would be great so I can understand this better.

Answer #1

a) The force between the two spheres is F = k q1 q2 /
r^{2}

The distance between the spheres, r = 15.0 cm = 0.15 m

q1 = 6.00
C, q2 = - 2.00
C

The force F = 9 x 10^{9} x 6.00 x 10^{-6} C x 2.00
x 10^{-6} C / (0.15 m)^{2}

F = 4.8 N

Since the spheres are oppositively charged, the force between them
is attractive.

b ) The total charge on each sphere is after being brought together
and touched,

q = q1 + q2 / 2 = 6.00
C - 2.00
C / 2 = 2.00
C

The froce between the spheres

F =k q^{2} / r^{2}

F = 9 x 10^{9} x ( 2.00 x 10^{-6} C )^{2} /
0.15^{2}

F = 1.6 N

A) Consider three identical metal spheres, A, B, and C. Sphere A
carries a charge of +4q. Sphere B carries a charge of
-3q. Sphere C carries no net charge. Spheres A and B are
touched together and then separated. Sphere C is then touched to
sphere A and separated from it. Last, sphere C is touched to sphere
B and separated from it. For the following questions, express your
answers in terms of q.
How much charge ends up...

Two tiny conducting spheres are identical and carry charges of
-21.4 µC and +46.5 µC. They are separated by a distance of 2.39
cm.
(a) What is the magnitude of the force that each sphere
experiences, and is the force attractive or repulsive?
(b) The spheres are brought into contact and then separated to a
distance of 2.39 cm. Determine the magnitude of the force that each
sphere now experiences, and state whether the force is attractive
or repulsive.

Consider two identical conductor spheres, A and B. Initially,
sphere A has a charge of -480 µC and sphere B has a charge of +240
µC If the spheres touched and then are separated by a distance of
0.2 m. What is the resultant force between them?
Select one:
32.4X102N, attraction
12.96X103N, repulsive
6.48X102N, attraction
32.4X102N, repulsive
12.96X103N, attraction
0 N
6.48X102N, repulsion

Two small identical conducting spheres are placed with their
centers 0.65 m apart. One is given a charge of 12 ? 10?9
C, the other a charge of ?17 ? 10?9 C.
(a) Find the electrostatic force exerted on one sphere by the
other.
magnitude
N
direction
---Select--- attractive repulsive
(b) The spheres are connected by a conducting wire. Find the
electrostatic force between the two after equilibrium is reached,
where both spheres have the same charge.
magnitude
N
direction...

Two identical metal spheres attract each other with a force of
7.00×10−6N when they are 3.00 cm apart. The spheres are then
touched together and then removed to the original separation where
now a force of repulsion of 2.00×10−6N is observed. What is the
charge on each sphere after touching and before touching?

Two small nonconducting spheres have a total charge of Q = Q1+
Q2 = 95.0 μC, Q1<Q2. When placed 32.0 cm apart, the force each
exerts on the other is 12.5 N and is repulsive.
a) What is the charge Q1?
b) What is the charge Q2?
c) What would Q1 be if the force were attractive?

SHOW ALL WORK
Two small nonconducting spheres have a total charge of 95.0
μC .
A) When placed 1.16 m apart, the force each exerts on the other
is 10.4 N and is repulsive. What is the charge on each?
B)What if the force were attractive?

A total charge of 7.50 × 10−6 C is distributed on two
different small metal spheres. When the spheres are 6.30 cm apart,
they each feel a repulsive force of 21.4 N.
What is the charge on each sphere?

Two small metal spheres are 26.0 cm apart. The spheres have
equal amounts of negative charge and repel each other with a force
of 0.036 N. What is the charge on each sphere?
A +2.5 nC point charge is 3.3 cm away from a -3.1 nC point
charge.
What are the magnitude and direction of the acceleration of an
electron at a point where the electric field has magnitude 6600 N/C
and is directed due north?

Two small spheres spaced 45.0 cm apart have equal charge. Part A
How many excess electrons must be present on each sphere if the
magnitude of the force of repulsion between them is 4.96×10−21 N
?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 25 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago