Question

In addition to ball 1 with a charge of +14 ?C located at the origin at rest, ball 2 has a charge of -28 ?C and is placed at x=1, y=2. Assume the only forces on these balls are these electrostatic forces.

a. What is the force of ball 1 on ball 2? What is the force of ball 2 on ball 1? Remember that force is a vector, so to specify force means both magnitude and direction. How do the magnitudes of these forces compare?

b. If these balls were allowed to move, what is the acceleration of each at this instant while they are both at the given locations when you let them go? Compare the accelerations to each other.

c. What is the electric field at the origin (due to ball 2)? How does the magnitude of this electric field compare to the the magnitude of the electric field at x=1, y=2 (due to ball 1)? Explain using the electric field how Newton’s 3rd Law is obeyed for these two charges.

d. If ball1 was at the origin but moving at 5m/s in the positive x-direction, in which direction would its velocity vector point a few instants later? (name just the quadrant I, II, III, or IV)

Answer #1

In addition to ball 1 with a charge of +14 ?C located at the
origin at rest, ball 2 has a charge of
-28 ?C and is placed at x=1, y=2. Assume the only forces on these
balls are these electrostatic
forces.
a. What is the force of ball 1 on ball 2? What is the force of ball
2 on ball 1? Remember that
force is a vector, so to specify force means both magnitude and
direction. How do...

Suppose a small ball has charge -2.6 muC is located at the
origin, and a second small ball has charge 6.8 muC is located along
the x-axis at +6.5 cm.
(a) What is the x-component of the force on the ball at the
origin? Be sure to use the correct sign to represent the direction
of the component, + for "to the right", - for "to the left".
(b) What is the x-component of the force on the ball located...

A ball is placed 0.112 m above the origin on the +Y axis. It’s
charge is -53 nC. A second ball with a charge of +41 nC is placed
on the +x axis 0.06 m to the right of the origin. What is the
magnitude and direction of the electric field? What would the
distance from the origin be and direction if you were to place a
-11.0 nC charged ball to make the electric field at the origin be...

A point charge Q1= +5uC is located on the x axis at x = 5.0
cm, and a second point charge Q2= - 7 uC is located on the x axis
at x = -8.0 cm.
1- Calculate the electric field at the origin due to Q1 and
Q2? (give answer in unit vector notations).
2- Calculate the electric field on the y-axis at point y=+6.0
cm due to Q1 and Q2? (give answer in unit vector notations).
3- What...

2. Coulomb’s Law, multiple charges (10 pts)
Charge ?1 = +25?? is at the origin, charge ?2 = −15?? is on
the x-axis at ? = 2.00 ?, and charge
?3 = +20?? is at the point ? = 2.00 ?, ? = 2.00 ?.
a) Draw a labelled diagram of the charges and their locations.
Include:
• A coordinate system
• Vector arrows for the forces due to each charge acting on
charge ?3.
• A vector arrow showing...

Two positive point
charges are held fixed on the x-axis. Point charge
A is located at the origin, and point charge
B is located at the position x = −5.00 cm =
−5.00✕10-2 m (on the negative x-axis). The
magnitude of charge A is two times greater than
that of charge B: qA =
2qB.
ke = 8.9876✕109
Nm2/C2
(A.) The electric
force on charge A has magnitude 0.344 mN =
0.344⨯10-3 N. What is the electric force (magnitude
and...

A +1 C charge is placed at position (x,y)=(-2 m,0). A +1.5 C charge
is placed at position (x,y)=(2 m, 0).
a) What
is the electric potential energy of this charge
configuration?
b) What
is the electric field (magnitude and direction) at the
origin?
c)
What is the electric field (magnitude and direction) at position
(x,y)=(0 m, 1 m)?
Please enter your answers in the space below and email your
work.

A point charge q2 = - 7.00 nC is located at the origin and
charge q1 = 5.00 nC is on the x-axis, 40.0 cm from the origin.
a) Find the magnitude and direction of electric field at point
P, which has coordinates (40.0 cm,-50.0 cm).
b) Find the force on a charge of 5.00 µC placed at point P.

A point charge q2 = - 7.00 nC is located at the origin and
charge q1 = 5.00 nC is on the x-axis, 40.0 cm from the origin.
a) Find the magnitude and direction of electric field at point
P, which has coordinates (40.0 cm,-50.0 cm).
b) Find the force on a charge of 5.00 µC placed at point P.

A charge of +1.00C is at -3.00 m i and a
charge of -1.00C is at the origin. In which direction does the
electric field at +3.00 m i point?
What is the magnitude of the field at +3.00 m
i?
There is a charge of -1.00C at +3.00 m I what
is the electrostatic force on that charge due to the charges in
(1)?
Suppose the charge at -3.00m i was doubled to
+2.00C but the other charges remained...

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