Answer:
36.25 N
Explanation:
The magnitude of the electrostatic force between two charges is given by Coulomb's law:
where:
is the Coulomb's constant
are the magnitude of the two charges
r is the separation between the two charges
Moreover:
- The force is repulsive if the two charges have same sign
- The force is attractive if the two charges have opposite sign
In this problem, we have 3 charges:
is the charge located at 
is the charge located at 
is the charge located at 
The force between charge 1 and charge 3 is:

And since the two charges have opposite sign, the force is attractive, so the force on charge 3 is to the right (towards charge 1).
The force between charge 2 and charge 3 is:

And since the two charges have same sign, the force is repulsive, so the force on charge 3 is to the right (away from charge 2).
So the two forces on charge 3 have same direction (to the right), so the net force is the sum of the two forces:

<span>Angular
velocity is the rate of the change of angular displacement of a body that is in
a circular motion. It is a vector quantity so it consists of a magnitude and
direction. It is equal to the linear velocity divided by the radius of the circular motion. However, we are not given the linear velocity and the radius of the motion. We instead use the equation for the rotational kinetic energy. It is expressed as:
</span>
Rotational kinetic energy = Iω^2 / 2
where I is the inertia and ω is the angular velocity
175 = (3.75)ω^2 / 2
ω = 9.66 rad/s
The angular velocity of the motion is about 9.66 rad / s.
Answer:
Explanation:
power factor in a series AC circuit (cosΘ) =
R = resistance
Z = impedance of the circuit
Z²= R² + (XL - XC)²
XL = wL
from the question w is the angular frequency = 360 rad/s
360× 15× 10⁻³
= 5.4Ω
XC = 
= 
= 793.65Ω
Z²= 250² + (5.4 - 793.65)²
= 62500 + (-788.25)²
62500+621338.06
Z²= 683838.0625
Z =√ 683838.0625
Z= 826. 95Ω
(a) power factor = R / Z
= 250 / 826.95
= 0.30
b) average power delivered to the entire circuit.
V = I × Z
I = 
I =0.054A
P = I× V
= 0.054× 45
= 2.43 W
c) average power delivered to the resistor
P = I²× R
= 0.054²× 250
= 0.729 W
average power delivered to the capacitor
P = I² ×XC
=0.054²× 793.65
= 2.31 W
average power delivered to the inductor
P = I²× XL
= 0.054²× 5.4
= 0.02W
"the field of force surrounding a body of finite mass in which anotherbody would experience an attractive force that is proportional to theproduct of the masses and inversely proportional to the square of thedistance between <span>them."
</span>