Explanation:
Given that,
Force, 
Position of the particle, 
(a) The toque on a particle about the origin is given by :


Taking the cross product of above two vectors, we get the value of torque as :

(b) Let
is the angle between r and F. The angle between two vectors is given by :




The energy stored on the plates will be 378.5 J. The combination of capacitors is in series.
<h3>What is a capacitor?</h3>
A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
The complete question is;
"If this combination of capacitors is attached to a 9.00 V battery; how much energy will be 25 μF 15 μF stored on the plates?"
If the two capacitors are in series the equivalent capacitance will be;

Energy will be stored on the plates;

Hence the energy stored on the plates will be 378.5 J.
To learn more about the capacitor, refer to the link: brainly.com/question/14048432.
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Answer:
A) ΔU = 3.9 × 10^(10) J
B) v = 8420.75 m/s
Explanation:
We are given;
Potential Difference; V = 1.3 × 10^(9) V
Charge; Q = 30 C
A) Formula for change in energy of transferred charge is given as;
ΔU = QV
Plugging in the relevant values gives;
ΔU = 30 × 1.3 × 10^(9)
ΔU = 3.9 × 10^(10) J
B) We are told that this energy gotten above is used to accelerate a 1100 kg car from rest.
This means that the initial potential energy will be equal to the final kinetic energy since all the potential energy will be converted to kinetic energy.
Thus;
P.E = K.E
ΔU = ½mv²
Where v is final velocity.
Plugging in the relevant values;
3.9 × 10^(10) = ½ × 1100 × v²
v² = [7.8 × 10^(8)]/11
v² = 70909090.9090909
v = √70909090.9090909
v = 8420.75 m/s
Answer:
Equal
Explanation:
The impulse theorem states that the impulse exerted on each cart is equal to the change in momentum of the cart:

where
I is the impulse
pf is the final momentum
pi is the initial momentum
The impulse is equal to the product between the force applied and the contact time:

In this case, the force applied to the two carts (F) is the same, and the contact time (
) is the same as well. Therefore, the impulse exerted on the two carts is the same.
Moreover, the initial momentum of the two carts is also the same (zero, because they start from rest:
). So the formula becomes

And since I is the same for the two carts, the final momentum (
) will also be equal.
Answer:
The speed of light will be c=3x10^8m/s
Explanation:
This is the same as the speed of light because your speed does not affecttje speed of light so you will see the light approaching you at the same speed of light c