Question

Coulomb's law for the magnitude of the force F between two particles with charges Q and...

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 charges on a third charge q3 = 50.5 nC placed between q1 and q2 at x3 = -1.090 m ?

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

Homework Answers

Answer #1

Consider force due to charge q1 on q3 is F1.

and due to charge q2 on q3 is F2.

for F1 -

q1 = -10 x 10^-9 C

q3 = 50.5 x 10^-9 C

d1 = 1.695 - 1.090 = 0.605 m

so, F1 = k*q1*q3 / d1^2 = - (9.0x10^9x10 x 10^-9x50.5 x 10^-9) / 0.605^2 = - 1.242 x 10^-5 N

for F2 -

q2 = 31x10^-9 C

q3 = 50.5 x 10^-9 C

d2 = 1.090 m

so, F2 = (9x10^9x31x10^-9x50.5 x 10^-9) / 1.09^2 = 1.186 x 10^-5 N

So, the resultant force on q3 -

F = F1 + F2 = - 1.242 x 10^-5 + 1.186 x 10^-5 = -0.056 x 10^-5 N = -5.60 x 10^-7 N

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Coulomb's law for the magnitude of the force F between two particles with charges  Q and  Q′ separated...
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...
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 FF between two particles with charges Q...
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 F between two particles with charges Q and...
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 = -17.0 nCn, is located at X1 = -1.680 m ; the second charge, q2 = 30.0 nC , is at the origin (x = 0). What is (Fnet3)x, the x-component...
Coulomb's law for the magnitude of the force FF between two particles with charges QQ and...
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...
Coulomb's law for the magnitude of the force Fbetween two particles with charges Q and Q′separated...
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 between two particles with charges Q and...
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...
What is the net force exerted by these two charges on a third charge q3 =...
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....
Consider two point charges located on the x axis: one charge, q1 = -19.5 nC ,...
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 ?
As shown in the figure, the charge Q is midway between two other charges. If Q...
As shown in the figure, the charge Q is midway between two other charges. If Q = -7.5 nC, what must be the charge q1 so that charge q2 remains stationary as Q and q1 are held in place?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT