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IRINA_888 [86]
3 years ago
9

A solid sphere of radius R contains a total charge Q distributed uniformly throughout its volume. Find the energy needed to asse

mble this charge by bringing infinitesimal charges from far away. This energy is called the "self-energy" of the charge distribution.
(Hint :After you have assembled a charge q in a sphere of radius r, how much energy would it take to add a spherical shell of thickness dr having charge dq? Then integrate to get the total energy.)

Physics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:

Explanation:

Check attachment for solution

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Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? W
Akimi4 [234]

Answer:

Same direction to produce maximum magnitude and opposite direction to produce minimum magnitude

Explanation:

Let a be the angle between vectors A and B. Generally when we add A to B, we can split A into 2 sub vectors, 1 parallel to B and the other perpendicular to B.

Also let A and B be the magnitude of vector A and B, respectively.

We have the parallel component after addition be

Acos(a) + B

And the perpendicular component after addition be

Asin(a)

The magnitude of the resulting vector would be

\sqrt{(Acos(a) + B)^2 + (Asin(a))^2}

= \sqrt{A^2cos^2a + B^2 + 2ABcos(a) + A^2sin^2a}

= \sqrt{A^2(cos^2a + sin^2a) + B^2 + 2ABcos(a)}

= \sqrt{A^2 + B^2 + 2ABcos(a)}

As A and B are fixed, the equation above is maximum when cos(a) = 1, meaning a = 0 degree and vector A and B are in the same direction, and minimum with cos(a) = -1, meaning a = 180 degree and vector A and B are in opposite direction.

8 0
4 years ago
A resistor converts 350 J of electrical energy to other forms of energy. What is the amount of
Helga [31]

Answer:

50C

Explanation:

Given parameters:

Electrical energy  = 350J

Potential difference  = 7V

Unknown:

Amount of charge = ?

Solution:

To solve this problem, use the expression below;

  E  = q x v

E is the electrical energy

q is the quantity of charge

v is the voltage

Insert the parameters and solve for q;

            350 = q x 7

            q = \frac{350}{7}

             q = 50C

5 0
3 years ago
50501.00 Scientific notation
Elenna [48]
Your answer would be 5.0501 x 10 with the little 4 on top

3 0
3 years ago
Suppose that we replace the aluminum with a mystery metal and repeat the experiment in the video. As in the video, the mass of t
katrin2010 [14]

Answer: b) one-third as great.

Explanation:

The options include:

a) three times greater.

b) one-third as great.

c) half as great.

d) two times greater.

e) the same.

Since the water heats up to 40°C and the room temperature is about 20°C before the start of the experiment, heat absorbed will be: (40°C-20°C).= 20°C

Since mystery metal heats up to 80∘C and the room temperature is about 20°C before the start of the experiment, heat absorbed will be: (80°C-20°C).= 60°C.

Therefore, based on the calculation, when compared to that of water, the heat capacity of our mystery metal is (20/60) = 1/3 one-third as great.

7 0
3 years ago
A ball of radius r rolls on the inside of a track of radius R. If the ball starts from rest at the vertical edge of the track, f
meriva

Answer:

v=\sqrt{\dfrac{10g(R-r)}{7}}

Explanation:

Given that

Radius of track = R

Radius of ball = r

The ball can be treated as solid sphere, so

The moment of inertia of ball

I=\dfrac{2}{5}mr^2

When the ball reach at the lowest position then it will have both angular and linear speed.

Condition for  rolling without slipping       v= ωr

Form energy conservation

mgR=mgr+\dfrac{1}{2}mv^2+\dfrac{1}{2}I\omega^2

 v= ωr

I=\dfrac{2}{5}mr^2

mgR=mgr+\dfrac{1}{2}mv^2+\dfrac{1}{2}\times \dfrac{2}{5}mr^2\omega^2

mg(R-r)=\dfrac{1}{2}mv^2+\dfrac{1}{2}\times \dfrac{2}{5}mv^2

2mg(R-r)=mv^2+\dfrac{2}{5}mv^2

2g(R-r)=\dfrac{7}{5}v^2

v=\sqrt{\dfrac{10g(R-r)}{7}}

3 0
3 years ago
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