Question

A charge of -3.05 nC is placed at the origin of an xy-coordinate system, and a...

A charge of -3.05 nC is placed at the origin of an xy-coordinate system, and a charge of 2.45 nC is placed on the y axis at y = 3.80 cm .

part A) If a third charge, of 5.00 nC , is now placed at the point x = 3.05 cm , y = 3.80 cm find the x and y components of the total force exerted on this charge by the other two charges.

part B) Find the magnitude of this force.

part C) Find the direction of this force.

Homework Answers

Answer #1

force between q1 and q3

F13 = k q3 q1 / r13^2 = 9* 10^9* 3.05* 5* 10^-18 / (0.0305^2 + 0.038^2)

F13 = 5.7808 * 10^-5 N

angle formed by F13 with horizontal

x = arctan ( 3.8 / 3.05) = 51.248

force between q2 and q3

F23 = 9* 10^9* 2.45* 5* 10^-18 / 0.038^2

F23 = 7.635* 10^-5 N

======

a)

Net horizontal force

Fx = F23 - F13 cos x = - 4.017 * 10^-5 N

net vertical force

Fy = F13 sin 51.248 = - 4.508 * 10^-5 N

=====

b)

magnitude

F^2 = Fx^2 + Fy^2

F = 6.038 * 10^-5 N

======

c)

direction

phi = arctan ( Fy/FX) = 48.3 BELOW +X AXIS

=======

Comment before rate in case any doubt, will reply for sure.. goodluck

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
A charge of -2.95 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -2.95 nC is placed at the origin of an xy-coordinate system, and a charge of 2.05 nC is placed on the y axis at y = 4.05 cm. a. If a third charge, of 5.00 nC, is now placed at the point xxx = 3.05 cm , y = 4.05 cm find the x and y components of the total force exerted on this charge by the other two charges. b. Find the magnitude of this force....
A charge of -2.65 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -2.65 nC is placed at the origin of an xy-coordinate system, and a charge of 1.75 nC is placed on the y axis at y = 4.00 cm . A) If a third charge, of 5.00 nC , is now placed at the point x = 3.30 cm , y = 4.00 cm find the x and y components of the total force exerted on this charge by the other two charges. B) Find the magnitude of...
A charge of -3.50 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -3.50 nC is placed at the origin of an xy-coordinate system, and a charge of 1.85 nC is placed on the y axis at y = 4.35 cm . Part A If a third charge, of 5.00 nC , is now placed at the point x = 3.25 cm , y = 4.35 cm find the x and y components of the total force exerted on this charge by the other two charges. Express answers numerically separated...
A charge of -2.65 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -2.65 nC is placed at the origin of an xy-coordinate system, and a charge of 1.60 nC is placed on the y axis at y = 3.90 cm . A) If a third charge, of 5.00 nC , is now placed at the point x = 2.55 cm , y = 3.90 cm find the x and y components of the total force exerted on this charge by the other two charges. B) Find the magnitude of...
A charge of -2.75 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -2.75 nC is placed at the origin of an xy-coordinate system, and a charge of 2.20 nC is placed on the y axis at y = 3.75 cm . 1) If a third charge, of 5.00 nC , is now placed at the point x = 3.50 cm , y = 3.75 cmcm find the x and y components of the total force exerted on this charge by the other two charges. Find the magnitude of this...
A charge of -2.80 nC is placed at the origin of a xy-coordinate system, and a...
A charge of -2.80 nC is placed at the origin of a xy-coordinate system, and a charge of 1.75 nC is placed on the y-axis at y = 4.20 cm . 1.If a third charge, of 5.00 nC , is now placed at the point x = 2.85 cm , y = 4.20 cm find the x and y components of the total force exerted on this charge by the other two charges. 2.Find the magnitude of this force. 3.Find...
A charge of -3.35 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -3.35 nC is placed at the origin of an xy-coordinate system, and a charge of 2.00 nC is placed on the y axis at y = 4.30 cm A) If a third charge, of 5.00 nCn, is now placed at the point x = 2.85 cmcm , y = 4.30 cmcm find the x and y components of the total force exerted on this charge by the other two charges. B)Find the magnitude of this force. C)Find...
A charge of -3.25 nC is placed at the origin of an xy-coordinate system, and a...
A charge of -3.25 nC is placed at the origin of an xy-coordinate system, and a charge of 1.70 nC is placed on the y axis at y = 3.75 cm. If a third charge, of 5.00 nC , is now placed at the point x = 3.00 cm , y = 3.75 cm find the x and ycomponents of the total force exerted on this charge by the other two charges.
A charge 4.97 nC is placed at the origin of an xy-coordinate system, and a charge...
A charge 4.97 nC is placed at the origin of an xy-coordinate system, and a charge -2.03 nC is placed on the positive x-axis at x = 4.02 cm . A third particle, of charge 6.02 nC is now placed at the point x = 4.02 cm , y = 3.01 cm . Part A Find the x-component of the total force exerted on the third charge by the other two. Part B Find the y-component of the total force...
A charge 4.98 nC is placed at the origin of an xy-coordinate system, and a charge...
A charge 4.98 nC is placed at the origin of an xy-coordinate system, and a charge -1.98 nC is placed on the positive x-axis at x = 4.00 cm . A third particle, of charge 5.96 nC is now placed at the point x = 4.00 cm , y = 3.05 cm. a. Find the x-component of the total force exerted on the third charge by the other two. Express your answer in newtons. b. Find the y-component of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT