A disk with radius R and uniform positive charge density s lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge Q hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk.

Required:
a. What is the magnitude of the net upward force on the sphere as a function of the height z above the disk?
b. At what height h does the sphere hover?

The sum of the currents through all the branches in the parallel circuit is 0.3 A.

A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.

The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.

The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;

I = V/R₁ + V/R₂ + V/R₃

where;

Thus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.

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Therefore, the charge on the ball is \(2.35 x 10^-8\)coulombs.

To determine the charge on the ball, we can use Coulomb's law, which states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.

\(F = k * (q1 * q2) / r^2\)

where:

F = force between the charges

k = Coulomb's constant \((9 x 10^9 N m^2 / C^2)\)

q1, q2 = charges on the two objects

r = distance between the objects

In this case, the ball and the pipe have the same charge, so we can let q1 = q2 = q, and the force between them is simply the weight of the ball:

F = m  g

where:

m = mass of the ball (0.75 grams = 0.00075 kg)

g = acceleration due to gravity \((9.8 m/s^2)\)

\(F = 0.00075 kg * 9.8 m/s^2 = 0.00735 N\)

We also know that the ball is 55 cm = 0.55 m away from the pipe. So we can use Coulomb's law to find the charge on the ball:

\(0.00735 N = k * (q^2) / (0.55 m)^2\)

Solving for q, we get:

\(q = \sqrt((0.00735 N * (0.55 m)^2) / k)\\q =\sqrt((0.00735 N * (0.55 m)^2) / (9 x 10^9 N m^2 / C^2))\\q = 2.35 x 10^-^8 C\)

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Answer:

the heat emitted by potatoes is much less than the heat emitted by turkey

Explanation:

The heat transfer is given by

        Q = m \(c_{e}\) ΔT

where m is the mass of the body, c_e is the specific heat and ΔT is the change in temperature of the body

in this case they ask us to appear the heat emitted by the potatoes and the turkey.

From the tables found the specious colors of both

potato     c_e = 0.82 Kcal / kg ºC

turkey      c_e = 0.72 Kcal / kg ºC

Since the two bodies have the same initial temperature and we assume that they reach the same final (ambient) temperature, the ratio of the heat emitted is

          Q₁ / Q₂ =  \(\frac{ m_1 \ c_{e1} }{m_2 \ c_{e2} }\)

where we use the rise 1 for the potatoes and the su index 2 for the turkey

the mass of the potatoes can be estimated at approximately m = 1 ka

we substitute

          Q₁ / Q₂ =  \(\frac{1 \ 0.82}{ 20 0.72}\)

           Q₁ /Q₂ = 0.0569

           Q₁ = 0.0569 Q₂

therefore the heat emitted by potatoes is much less than the heat emitted by turkey

Answer:

Not quite

Explanation:

The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength

What determines the strength of a wave?

Wave height is affected by wind speed, wind duration (or how long the wind blows), and fetch, which is the distance over water that the wind blows in a single direction. If wind speed is slow, only small waves result, regardless of wind duration or fetch.

So,

As Wavelength increases, The energy of the wave spreads and it decreases

Answer:

A step down transformer is a device that can be connected to the switch and the appliance. There are two types of transformers that you should know about: step up and step down transformers. Step up transformers generally produce a higher output voltage than the input voltage.

Explanation:

Answer:

1)     v_orbit = 3.49*10^4 m/s

2)    F = 5.51*10^22 N

Explanation:

1) In order to calculate the speed of Venus in its orbit, you use the following formula:

\(v_{orbit}=\sqrt{\frac{GM_s}{R}}\)         (1)

v_orbit: speed of Venus = ?

G: Cavendish's constant = 6.674*10^-11.m^3kg^-1s^-2

Ms: mass of the sun = 1.98*10^30 kg

R: distance between the center of Sun and the center of Venus = 1.08*10^11m

You replace the values of the parameters in the equation (1):

\(v_{orbit}=\sqrt{\frac{(6.674*10^{-11}m^3kg^{-1}s^{-2})(1.98*10^{30})}{1.08*10^{11}m}}\\\\v_{orbit}=3.49*10^4\frac{m}{s}\)

The speed of Venus in its orbit around the Sun is 3.49*10^4 m/s

2) The force is given by the following formula:

\(F=G\frac{M_vM_s}{R^2}\)

Ms: mass of Venus = 4.87*10^24 kg

\(F=(6.674*10^{-11}m^3kg^{-1}s-2})\frac{(4.87*10^{24}kg)(1.98*10^{30}kg)}{(1.08*10^{11}m)^2}\\\\F=5.51*10^{22}N\)

The Sun exertes on Venus a force of 5.51*10^22 N

Given:

The electric field strength is given as,

Here, K is the electrostatic constant.

Putting the values,

Therefore, the electric field strength is 63444.44 N/C.

The force applied by the person pushing the crate is not enough as the frictional force increases because more friction causes slowing of moving object.

Friction is defined as the force resisting the relative motion of an object when moving on the surface of another object. This force slow  down the speed of a moving object.

So we can conclude that the force applied by the person pushing the crate is not enough as the frictional force increases because more friction causes slowing of moving object.

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Answer:

The  time elapsed at the spacecraft’s frame is less that the time elapsed at earth's  frame

Explanation:

From the question we are told that

The distance between earth and Retah is  \(d = 20 \ light \ hours = 20 * 3600 * c = 72000c \ m\)

Here c is the peed of light with value \(c = 3.0*10^8 m/s\)

The time taken to reach Retah from earth is  \(t = 25 \ hours = 25 * 3600 =90000 \ sec\)

The velocity of the spacecraft is mathematically evaluated  as

     \(v_s = \frac{d }{t}\)

substituting values

   \(v_s = \frac{72000 * 3.0*10^{8} }{90000}\)

    \(v_s = 2.40*10^{8} \ m/s\)

The time elapsed in the spacecraft’s frame is mathematically evaluated as

      \(T = t * \sqrt{ 1 - \frac{v^2}{c^2} }\)

substituting value

       \(T = 90000 * \sqrt{ 1 - \frac{[2.4*10^{8}]^2}{[3.0*10^{8}]^2} }\)

        \(T = 54000 \ s\)

=>    \(T = 15 \ hours\)

So  The  time elapsed at the spacecraft’s frame is less that the time elapsed at earth's  frame

The gravitational force on planet X is one-eight (¹/₈) of the magnitude of gravitational force on planet Y.

The gravitational force on each planet is directly proportional to the product of mass of the planet and the tennis ball and inversely proportional to the square of the radius of the planets.

F = GmM/r²

where;

The gravitational force on planet X is written as;

F_X = Gm(mt) / r²

where;

The gravitational force on planet Y is written as;

F_y = G(½m)(mt) / (¼r)²

F_y = ½(Gm(mt) / (¹/₁₆ r²)

F_y = (16 Gm mt)/(2r²)

F_y = 8(G m(mt) ) / r²

F_y = 8(F_X)

F_X = ¹/₈(F_Y)

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Answer:

Explanation:

2) Draw a horizontal line below the squiggle and call it your reference origin.

Highest potential energy is farthest above the origin.

I would suggest for highest to lowest

GACE(D = F)B

3) I have no way of knowing how to compare kinetic and potential energies because we are given no reference levels for either.

IF we ASSUME it is a typo and they want highest to lowest KINETIC energies, then the values will be the reverse of #2 because, in the lack of friction, Kinetic and Potential energies will always be swapping keeping the total mechanical energy constant.

B(D = F)ECAG

Explanation:

Answer:

the speed after 3 seconds is 10 m/s

Explanation:

The computation of the speed is shown below:

As we know that

V = U  + at

Here,

U = 34 m/s

a =  - 8 m/s²

t = 3 Sec

V = velocity after 3 sec

V  = 34 + (-8)3

 = 34 - 24

 V = 10 m/s

Hence, the speed after 3 seconds is 10 m/s

The GPE (Gravitational potential energy) of the balloon of mass 250 kg is 367500 J.

To calculate the GPE of the balloon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the GPE of the balloon is 367500 J.

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The car will travel only distance of 25.92 m.In order to overtake it needs to travel 40m. So don't attempt to pass the truck.

Vehicle speed is 25 m/s.

40m is the distance the automobile must go to pass the truck.Distance between the car approaching from the opposite direction and the passing location is 400-40, or 360 meters.

Time allowed for a car to pass a truck of 20 meters in length is equal to the distance between the automobile coming from the other direction and the relative speed of the two cars.

Time equals 360/50, or 7.2 seconds.

Let's assume that the truck is going at the same rate as the car.

The expression "distance traveled by car in comparison to truck"

S is the distance traveled, u is the initial velocity, an is the acceleration, and t is the amount of time spent, where S = ut +\(\frac{1}{2}at^{2}\)

Here, u = 0, t = 7.2 s, and a = 1 m/\(s^{2}\)

hence, the distance driven in 7.2 seconds

So,     S = 0+ 25.92 = 25.92 m

So car will travel only travel 25.92 m

In order to overtake it needs to travel 40m. So don't attempt to pass the truck.

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Answer:

Curran is testing out a newly waxed hallway floor by sliding in his socks.

He runs from one end of the hallway and starts sliding midway going all

the way to the right. The forces acting on Curran as he is sliding are

represented in the diagram below. Identify the forces and match them

correctly to the n

Answer:

The output force of the piston is 105 N.

Explanation:

Given;

the area of the input piston, A₁ = 0.5 m²

the input force of the piston, F₁ = 15 N

the area of the output piston, A₀ = 3.5 m²

the output force of the piston, F₀ = ?

The pressure of the  hydraulic lift is given by;

\(P = \frac{F}{A}\)

where;

P is the hydraulic pressure

F is the piston force

A is the area of the piston

\(P = \frac{F}{A} \\\\\frac{F_o}{A_o} = \frac{F_i}{A_i} \\\\F_o = \frac{F_iA_o}{A_i} \\\\F_o = \frac{15*3.5}{0.5} \\\\F_o = 105 \ N\)

Therefore,  the output force of the piston is 105 N.

Answer:

72km/hr

Explanation:

Speed in Km is usually represented in hours. so if the car is in constant velocity, and if the car travels 36km in 30 min then it travels 72km in 1 hour.

so the speed of the car is 72km/hr

Answer:

The reason why this is, is because:

Explanation:

According to Jones, fur serves as an insulator for the body during cold weather and regulates the process of heat absorption during warm weather. It acts as a thermal regulator, preventing the body from taking on excessive heat. Dogs and cats shed their fur in hot weather to make their coats more appropriate for heat protection rather than warmth.

Answer:

Insulation

Explanation:

The reason for this is insulation, which describes the process of an object absorbing heat and harboring heat. It works as such: Fur protects you from the cold by forming what’s called a “boundary layer.” This happens as cold air hits the surface of your coat and the molecules cause friction.

Answer:

The temperature of the steam during the heat rejection process is 42.5°C

Explanation:

Given the data in the question;

the maximum temperature T\(_H\) in the cycle is twice the minimum absolute temperature T\(_L\) in the cycle

T\(_H\)  = 0.5T\(_L\)

now, we find the efficiency of the Carnot cycle engine

η\(_{th\) = 1 - T\(_L\)/T\(_H\)

η\(_{th\) = 1 - T\(_L\)/0.5T\(_L\)

η\(_{th\) = 0.5

the efficiency of the Carnot heat engine can be expressed as;

η\(_{th\) = 1 - W\(_{net\)/Q\(_H\)

where W\(_{net\) is net work done, Q\(_H\) is is the heat supplied

we substitute

0.5 = 60 / Q\(_H\)

Q\(_H\) = 60 / 0.5

Q\(_H\) = 120 kJ

Now, we apply the first law of thermodynamics to the system

W\(_{net\) = Q\(_H\) - Q\(_L\)

60 = 120 -  Q\(_L\)

Q\(_L\) = 60 kJ

now, the amount of heat rejection per kg of steam is;

q\(_L\) = Q\(_L\)/m

we substitute

q\(_L\) = 60/0.025

q\(_L\) = 2400 kJ/kg

which means for 1 kilogram of conversion of saturated vapor to saturated liquid , it takes 2400 kJ/kg of heat ( enthalpy of vaporization)

q\(_L\) = h\(_{fg\) = 2400 kJ/kg

now, at  h\(_{fg\)  = 2400 kJ/kg from saturated water tables;

T\(_L\) = 40 + ( 45 - 40 ) ( \(\frac{2400-2406.0}{2394.0-2406.0}\\}\) )

T\(_L\) = 40 + (5) × (0.5)

T\(_L\) = 40 + 2.5

T\(_L\) = 42.5°C  

Therefore, The temperature of the steam during the heat rejection process is 42.5°C  

Answer: TIR (total internal reflection) occurs

Explanation: TIR occurs because the angle of refraction reaches a 90-degree angle before the angle of incidence reaches a 90-degree angle. The only way for the angle of refraction to be greater than the angle of incidence is for light to bend away from the normal. Since light only bends away from the normal when passing from a more dense medium into a less dense medium, then this would be a necessary condition for total internal reflection.

Answer:

mass of an object = 4kg

acceleration due to gravity on earth = 9.8 m/s²

therefore , weight of an object on earth = Mass × gravity

=> weight = 4×9.8 => 39.2 N

since , weight is a force we measure it in newtons

The battery Peukert constants, n and, are around 1.223 and 2.486, respectively.

Wilhelm Peukert, a German physicist, proposed Peukert's law in 1897, which quantifies a battery's capacity in terms of the rate of discharge. The battery's useful capacity reduces as the rate of discharge rises. The supplied capacity decreases as discharge rate increases.

C = I⁽⁻ⁿ⁾ * t * λ

log(C) = -n * log(I) + log(λ) + log(t)

log(C1) = -n * log(I1) + log(λ) + log(t1)

log(C1) = -n * log(25) + log(λ) + log(10)

Similarly, for the second measurement, we have:

log(C2) = -n * log(I2) + log(λ) + log(t2)

log(C2) = -n * log(45) + log(λ) + log(4)

log(C1) - log(C2) = -n * (log(25) - log(45)) + log(10/4)

Simplifying, we get:

log(C1/C2) = n * log(45/25) + log(2.5)

Substituting the values, we get:

log(25/45) = n * log(45/25) + log(2.5)

Solving for n, we get:

n = (log(25/45) - log(2.5)) / log(45/25)

n = 1.223

log(C1) = -1.223 * log(25) + log(λ) + log(10)

log(C1) = -1.223 * 1.39794 + log(λ) + 1

Solving for log(λ), we get:

log(λ) = log(C1) + 1.223 * 1.39794 - 1

log(λ) = log(25) + 1.223 * 1.39794 - 1

log(λ) = 0.39794

Therefore, λ = 2.486.

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4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.

The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.

To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.

Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.

ΔE = 4×10^26 W

c = 3×10^8 m/s (speed of light)

Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².

Substituting the values, we have:

Δm = (4×10^26 W) / (3×10^8 m/s)²

Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.

This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.

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Answer:

Microphone and speaker

Potatoes mostly consist of starch, a complex carbohydrate produced by plants as a means of storing energy.

As starch accounts for the majority of potatoes' calories, they are categorised as a carbohydrate vegetable rather than a lipid. Potatoes, like the majority of foods, are a balance of fat, protein, and carbohydrates.

The most prevalent biomolecules on earth are carbohydrates, which include cellulose, starch, creatine, glucose, fructose, and others. Through the process of photosynthesis, carbohydrates are created by reducing the carbon dioxide in the atmosphere with the aid of light energy.

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Answer:

hohdoqjqwfojiqjwiojdq

Explanation:

huehqofjoiqjdoiwjqiojfiwjfiojeqojefiqjojeqiojoiewqdqwwqdwqd