Question

In: Physics

Particle A of charge 2.97 10-4 C is at the origin, particle B of charge -5.58...

Particle A of charge 2.97 10-4 C is at the origin, particle B of charge -5.58 10-4 C is at (4.00 m, 0), and particle C of charge 1.10 10-4 C is at (0, 3.00 m). We wish to find the net electric force on C.

(a) What is the x component of the electric force exerted by A on C?
N

(b) What is the y component of the force exerted by A on C?
N

(c) Find the magnitude of the force exerted by B on C.
N

(d) Calculate the x component of the force exerted by B on C.
N

(e) Calculate the y component of the force exerted by B on C.
N

(f) Sum the two x components from parts (a) and (d) to obtain the resultant x component of the electric force acting on C.
N

(g) Similarly, find the y component of the resultant force vector acting on C.
N

(h) Find the magnitude and direction of the resultant electric force acting on C.

magnitude N
direction ° counterclockwise from the +x-axis

Solutions

Expert Solution

See the diagram:

force by A on C and directed along the +y-axis.

force by B on C and have a component along the +x-axis and the -y-axis.

a) As the force exerted by A on C is completely along the y-axis, there is no x-component of this force. Therefore, the x component of the electric force exerted by A on C is zero. [answer]

b) The y component of the force exerted by A on C is

[answer]

c) The magnitude of the force exerted by B on C is

[answer]

d) The x component of the force exerted by B on C is

[answer]

e) The y component of the force exerted by B on C is

[answer] [The negative sign denotes the direction of the force is towards - y-axis.]

f) The net force on C along the x-axis is [answer] [since there is no x component of force by A on C]

g) The net force on C along the y-axis is [answer]

h) The magnitude of the net force on C is

[answer]

The direction of the net force is counterclockwise from the +x-axis. [answer]

genius_generous answered 2 years ago
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