An inductor is connected to the terminals of a battery that has an emf of 10.0 V and negligible internal resistance. The current is 4.86 rmmA at 0.940 ms after the connection is completed. After a long time the current is 6.45 mA.
A)
What is the resistance R of the inductor?
B)
What is the inductance

The current is 1.13* 10^{-4}A

Given that r = radius of the coil = 4 cm = 0.04 m

Area of coil is given as

A = πr²

A = (3.14) (0.04)² = 0.005024 m²

N = Number of turns = 500

R = Resistance = 600 Ω

B = magnetic field = (0.0120)t + (3 x 10⁻⁵) t⁴

Taking derivative at both the side

\( \frac{dB}{dt} = (0.120 + (12 \times 10^-5)t^3)\)

Induced current is given as

\(i= (\frac{NA}{R} )( \frac{db}{dt} )\)

\(i \: = (\frac{NA}{R})(12 \times 10 ^{-5} )t^3\)

substituting the value t = 5

\(i = ( \frac{(500)(0.005024)}{600}) (12 \times 10 ^{-5} )5^3\)

\(i = 1.13 \times 10 ^{ - 4} A\)

Hence the current is

\(1.13 \times 10^-4A\)

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The Electric current is 1.11* 10^{-4}A


Given that the coil's radius is 3.55 cm (0.35 m),

The formula for the coil's area is A = r2 A = (3.14) (0.35)2 = 0.005024 m2.

R = Resistance = 600 N = Number of spins = 500 B = Magnetic field = (0.0120)

t + (3 x 10⁻⁵) t⁴

The number t = 5 is substituted for taking the derivative at both the induced current and the electric current.

The Electric current is therefore 1.11* 10^{-4}A
Electric current - The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure. These electrons can be held loosely or securely depending on the situation.

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Answer:

30 m

General Formulas and Concepts:

Energy

Gravitational Potential Energy: \(\displaystyle U_g = mgh\)

Kinetic Energy: \(\displaystyle KE = \frac{1}{2}mv^2\)

Law of Conservation of Energy

Explanation:

Step 1: Define

Identify variables

[Given] m = 0.8 kg

[Given] g = 10 m/s²

[Given] U = 240 J

[Solve] h

Step 2: Solve for h

Answer: a

Explanation:

Angular velocity of the platform with its load is 0.94 rad/s.

Since, there is no external torque acting on the system, the momentum is conserved.

So, Initial momentum, L₁ = Final momentum, L₂

I₀ω₁ = (I₀ + m₁r₁² + m₂r₂²)ω₂

I₀ω₁ = [1/2 x 80.7 x (1.91)²] (1.57)

I₀ω₁ = 147.2 x 1.57 = 231.1 kgm²/s

So,

231.1 = [147.2 + 9.57(4/5 x 1.91)² + 21.1(1.91)²]ω₂

Therefore, the final angular velocity,

ω₂ = 231.1/246.5

ω₂ = 0.94 rad/s

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SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.

SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.

SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.

Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.

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Answer:

The water and peanut butter have different chemical properties.

(Lipids are not soluble in water)

Answer:

a. The water and peanut butter have different chemical properties.

Explanation:

The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to  18.39 × 10⁻¹⁵ T.

The magnetic force direction that is experienced by the proton moving in the negative direction is equal to  4.71 x 10⁻²⁸ N.

The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;

F = qvB = (kq²)/r²

qvB = kq²/r²

B = kq/vr²

where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.

Given the charge n the proton, q = 1.602 x 10⁻¹⁹C

The speed of the proton, v = 1.6 x 10⁵ m/s

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)

B = 18.39 × 10⁻¹⁵ T

The magnetic force experienced by the proton in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.6 x  10⁵ x 18.39 × 10⁻¹⁵ T

F = 47.1 x 10⁻²⁹ N

F = 4.71 x 10⁻²⁸ N

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Answer:

6.67×10^-11 Nm^2kg^_2

The resistance force of the water exerted on the whale is 19305 Newton.

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power = 150 kW = 150,000 Watt.

Constant speed = 7.77 m/s.

Now, Power = the resistance force × speed

150000 Watt =  the resistance force × 7.77 m/s

Hence, the resistance force = 150000 Watt/ 7.77 m/s

= 19305 Newton.

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Answer:

  0.957

Explanation:

Assuming the surface is parallel to the floor and the block is not accelerating, the coefficient of friction will be the ratio of the horizontal force to the normal force. The normal force will be the force due to gravity:

  F = Ma = (3.2 kg)(9.8 m/s²) = 31.36 N

Then the ratio of the forces is ...

  μ = horizontal force/vertical force = (30 N)/(31.36 N)

  μ ≈ 0.956633

The coefficient of friction is about 0.957.

Answer:

66.75 V

Explanation:

A capacitor is a device that stores electrical energy in an electric field. It is made up of two conductor plates separated by a dielectric. It stores electrical charges which then produces a potential difference between the plates.

The equivalent capacitance for capacitors in series is given as:

\(\frac{1}{C_{eq}}=\frac{1}{C_1} +\frac{1}{C_2}+\frac{1}{C_3} \\ \\\frac{1}{C_{eq}}=\frac{1}{10.4} +\frac{1}{20}+\frac{1}{29.5}\\ \\C_{eq}=5.55\ \mu F\)

\(The\ total\ charge\ stored(Q)\ is:\\\\Q=C_{eq}V\\\\Q=5.55*10^{-6}F*125\ V=694 \mu C\)

The potential difference on each capacitor is:

\(V_1=\frac{Q}{C_1}=\frac{694\mu C}{10.4\mu F} =66.75\ V\\\\V_2=\frac{Q}{C_2}=\frac{694\mu C}{20\mu F} =34.71\ V\\\\V_3=\frac{Q}{C_3}=\frac{694\mu C}{29.5\mu F} =23.53\ V\)

The maximum potential difference is 66.75 V across the small capacitor

Answer:

28 m/s

Explanation:

v(final)^2=v(initial)^2+2a(delta y)

=sqrt(2*-9.8 m/s^2*-40)

28 m/s

The speed of the camera with which it hits the water is 27.93 meters per second.

The speed of an object is the rate of change of position of an object in any of the directions. Speed can be measured as the ratio of distance covered by the object to the total time taken in which the distance was covered by the object. Speed is a scalar quantity because it has only magnitude and no direction.

v = gt

where, v is the velocity,

g is the acceleration due to gravity,

and t is the time taken by the object

v = (9.8 m/s²) (2.85s)

v = 27.93 m/s

Therefore, the speed of the camera as it hits the water is 27.93 meters per second.

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The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Answer:

the 5 is because u have to select the currents and volts which gives us 2 and 1 plus 3 is 6 but if we rest 1 is 5, thats the answer

Answer:

  C)  There will be no change in the balance

Explanation:

Before and after the cork is placed, the masses in each pan are the same. There will be no change in the balance.

The change in internal energy, ΔE(AB) is 7.14 kJ.

Since, the ideal gas goes through a cycle of processes, the total change in internal energy will be zero.

ΔE = ΔE(AB) + ΔE(BC) + ΔE(CD) + ΔE(DA) = 0

So,

ΔE(AB) = -ΔE(BC) - ΔE(CD) - ΔE(DA)

​

We know that the process CD s an isothermal process.

So, the change in internal energy, ΔE(CD) = 0

According to the first law of thermodynamics,

ΔE = Q + W

Therefore, the change in internal energy,

ΔE(AB) = -[Q(BC) + W(BC)] - [Q(DA) + W(DA)]

ΔE(AB) = -[Q(BC) + P(B)ΔV(BC)] - [Q(DA) - P(D)ΔV(DA)]

ΔE(AB) = -(100 + 0.31 x3) - (-150 - 1 x -1)

ΔE(AB) = -100 - 0.93 + 150 + 1

ΔE(AB) = 50 + (0.07 x 1.013 x 10⁵)

ΔE(AB) = 50 + 7091

ΔE(AB) = 7.14 kJ

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Answer: Water fills the bucket until its force/weight is greater than the block’s. The lever tilts over, causing the bucket to water the plant.

The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.

The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.

The force on a charged particle in an electric field can be calculated using the formula:

F = q * E

Where F is the force, q is the charge of the particle, and E is the electric field.

Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:

F = (-6 C) * (24 N/C)

F = -144 N

The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.

The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.

Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.

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Measure the angle of the sun at the same time, on the same day every month for twelve months.

A slanted axis is around which the Earth is revolving. Or, to say it another way, our earth is perpetually leaned over and never stands erect.

Over the course of a year, this lean does not drastically alter in direction, but over thousands of years, it does so gradually.

The Earth leans periodically towards the sun and sometimes away from it as it moves through space in its orbit.

Because of the sun's bigger and more direct angular position over us during the summer, there is a greater amount of direct solar radiation, which warms the air. We receive less direct solar energy during the winter because of the sun's reduced angle and smaller surface area, making it colder.

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Answer:

λ = 1.388 x 10⁻⁶ m = 1388 nm

Explanation:

We can use the Young's Double Slit experiment formula here to solve this numerical:

\(\Delta x = \frac{\lambda L}{d} \\\\\lambda = \frac{\Delta x d}{L}\\\)

where,

λ = wavelength = ?

Δx = distance between adjacent bright fringes = 1.62 cm = 0.0162 m

d = slit separation = 0.24 mm = 0.00024 m

L = distance from screen to slits = 2.8 m

Therefore,

\(\lambda = \frac{(0.0162\ m)(0.00024\ m)}{2.8\ m} \\\)

λ = 1.388 x 10⁻⁶ m = 1388 nm

Answer:

\(s = ut + \frac{1}{2} g {t}^{2} \\ t(u + \frac{1}{2} gt) = H \\ u + \frac{1}{2} gt = H \\ t = 2(H - u) \div g \\ t = \frac{(H - u)}{5} \\ u \: is \: speed \: or \: velocity\)

Below are the required answers and explanations for each of the scenarios listed.

1. A machine that pulls all thermal energy out of a refrigerated space: This violates the second law of thermodynamics. This is because the second law of thermodynamics states that no heat engine can have an efficiency of 100 percent, and no heat transfer can occur from a colder to a warmer object without external work being done.

2. A machine that can pull 1000J of heat out of a refrigerated space and into a warmer space without external work: This violates the second law of thermodynamics. The second law of thermodynamics states that no heat transfer can occur from a colder to a warmer object without external work being done.

3. A machine that can turn 1000J of heat directly into 1000J of electricity: This does not violate any of the laws of thermodynamics.

4. A machine that can create 1000J of heat from 100J of electricity: This does not violate any of the laws of thermodynamics.

5. A machine that can pull 1000J of heat out of a refrigerated space and put 1500J of heat into a warmer space if it uses 500J of external work: This does not violate any of the laws of thermodynamics.

a) Option 2 is correct answer.

b) Option  2 is correct answer.

c) Option 4 is correct answer.

d) Option 4 is correct answer

e) Option 4 is correct answer.

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The voltage is higher the faster you pedal. Generating electricity from an adapted bicycle requires a dynamo, which is a device that uses a spinning shaft to produce a rotating magnetic field.

Electricity is a form of energy that is generated by the movement of charged particles, such as electrons. It is a form of energy that is used to power electrical appliances, and is also transmitted through electrical cables, wires and other conduits. Electricity is generated by a variety of sources, including fossil fuels, hydroelectricity, solar power and nuclear energy. It is also used to provide lighting, to heat and cool buildings, to power vehicles and to provide power for communications networks. Electricity is also used to power a wide range of industrial processes, including manufacturing, power generation and transportation. Electricity is a vital part of modern life and is essential for the functioning of modern infrastructure and technology.

The faster the shaft spins, the stronger the magnetic field and the higher the voltage generated. This means that pedaling faster will produce more electrical energy.

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The energy of 25 kg object is moving at a velocity or 10 ml is 1250J.

KE = 1/2mv²

The mass is m = 25kg

The velocity is v = 10ms⁻¹

KE = 1/2 × 25 × 10²

⇒ KE = 1250J

Hence, Kinetic energy is 1250J

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

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Answer:

Explanation:

The corona is in the outer layer of the Sun's atmosphere—far from its surface. Yet the corona is hundreds of times hotter than the Sun's surface. ... In the corona, the heat bombs explode and release their energy as heat. But astronomers think that this is only one of many ways in which the corona is heated.

The chromosphere ("sphere of color") is the second of the three main layers in the Sun's atmosphere and is roughly 3,000 to 5,000 kilometers deep. Its rosy red color is only apparent during eclipses. The chromosphere sits just above the photosphere and below the solar transition region.

The photosphere is the visible "surface" of the Sun. The Sun is a giant ball of plasma (electrified gas), so it doesn't have a distinct, solid surface like Earth. ... The photosphere is much cooler than the Sun's core, which has a temperature well above 10 million degree

And thats all i know

The temperature of a substance is determined by the average kinetic energy of its particles, so Substance X and Substance Y have higher temperatures because their particles have more kinetic energy. The number of particles does not affect temperature. The correct options are (A) and (C).

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Answer:

convection currents

Explanation: