Question

Coulomb's law for the magnitude of the force F between two particles with charges Q and Q′ separated by a distance d is

|F|=K |QQ'|/d^{2}

where K=1/4πϵ_{0} , and
ϵ_{0}=8.854×10^{-12}
C^{2}/(N⋅m^{2}) is the permittivity of free
space.

Consider two point charges located on the *x* axis: one
charge, q1 = -17.0 nCn, is located at X_{1} = -1.680 m ;
the second charge, q2 = 30.0 nC , is at the origin (x = 0).

What is (Fnet3)x, the *x*-component of the net force
exerted by these two charges on a third charge q3= 53.0 nC placed
between q1 and q2 at X_{3} = -1.165 mm ?

Your answer may be positive or negative, depending on the direction of the force.

Answer #1

Coulomb's law for the magnitude of the force F between
two particles with charges Q and Q′separated by a
distance d is
|F|= (K) |QQ′| /
d2
where K=1 / 4πϵ0, and
ϵ0=8.854×10−12 C2 /
(N⋅m2) is the permittivity of free space.
Consider two point charges located on the x axis: one
charge, q1 = -13.5 nC , is located at
x1 = -1.745 m ; the second charge,
q2 = 31.5 nC ,is at the origin
(x=0.0000).
What is the...

Coulomb's law for the magnitude of the force F between two
particles with charges Q and Q′ separated by a distance d is
|F|=K|QQ′|d2, where K=14πϵ0, and ϵ0=8.854×10−12C2/(N⋅m2) is the
permittivity of free space. Consider two point charges located on
the x axis: one charge, q1 = -10.0 nC , is located at x1 = -1.695 m
; the second charge, q2 = 31.0 nC , is at the origin
(x=0.0000).
What is the net force exerted by these two...

Coulomb's law for the magnitude of the force F between
two particles with charges Q
and Q′ separated by a distance d
is
|F|=K|QQ′|d2,
where K=14πϵ0, and
ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free
space.
Consider two point charges located on the x axis: one
charge, q1 = -14.5 nC , is located at x1 = -1.655
m ; the second charge, q2 = 33.5 nC , is at the origin
(x=0.0000).
What is the net force exerted by these two charges on...

Coulomb's law for the magnitude of the force F between two
particles with charges Q and Q′ separated by a distance d is
|F|=K(|QQ′|/d^2)
where K=1/(4πϵ0), and ϵ0=8.854×10^−12 C^2/(N⋅m^2) is the
permittivity of free space.
Consider two point charges located on the x axis: one
charge, q1 = -17.5 nC , is located at x1= -1.735 mm ; the second
charge, q2 = 36.5 nC , is at the origin (x = 0).
What is (Fnet3)x, the x-component of the...

Coulomb's law for the magnitude of the force Fbetween
two particles with charges Q and Q′separated by a
distance d is
|F|=K|QQ′|/d^2,
where K=1/4πϵ0, and
ϵ0=8.854×10^−12C^2/(N⋅m^2) is the permittivity of free
space.
Consider two point charges located on the x axis: one
charge, q1 = -19.0 nC , is located at x1 = -1.665
m ; the second charge, q2 = 36.0 nC ,is at the origin
(x=0.0000).
What is the net force exerted by these two charges on a...

Coulomb's law for the magnitude of the force F FF between two
particles with charges Q QQ and Q ′ Q′Q^\prime separated by a
distance d dd is |F|=K |Q Q ′ | d 2 |F|=K|QQ′|d2 , where K= 1 4π ϵ
0 K=14πϵ0 , and ϵ 0 =8.854× 10 −12 C 2 /(N⋅ m 2 )
ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space. Consider
two point charges located on the x axis: one charge, q 1 q1q_1 =
-20.0...

Coulomb's law for the magnitude of the force FF between two
particles with charges QQ and Q′Q′ separated by a distance dd
is
|F|=K|QQ′|d2|F|=K|QQ′|d2,
where K=14πϵ0K=14πϵ0, and
ϵ0=8.854×10−12C2/(N⋅m2)ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity
of free space.
Consider two point charges located on the x axis: one
charge, q1q1 = -13.0 nCnC , is located at x1x1 = -1.670 mm ; the
second charge, q2q2 = 39.0 nCnC , is at the origin (xx = 0).
What is (Fnet3)x(Fnet3)x, the x-component of the...

Consider two point charges located on the x axis: one charge, q1
= -19.5 nC , is located at x1 = -1.720 m ; the second charge, q2 =
30.0 nC , is at the origin (x=0.0000). What is the net force
exerted by these two charges on a third charge q3 = 48.5 nC placed
between q1 and q2 at x3 = -1.180 m ?

Two test charges are located in the x–y plane. If q1=−3.05 nC
and is located at x1=0.00 m, y1=0.640 m, and the second test charge
has magnitude of q2=3.80 nC and is located at x2=1.50 m, y2=0.800
m, calculate the x and y components, Exand Ey, of the electric
field →E in component form at the origin, (0,0). The Coulomb force
constant is 1/(4πϵ0)=8.99×109 N⋅m2/ C2.

What is the net force exerted by these two charges on a third
charge q3 = 50.0 nC placed between q1 and q2 at x3 = -1.120 m ?
Consider two point charges located on the x axis: one
charge, q1 = -16.0 nC , is located at x1 = -1.690 m ; the second
charge, q2 = 38.5 nC , is at the origin (x=0.0000).
Your answer may be positive or negative, depending on the
direction of the force....

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