a) What is the maximum torque (in N·m) on a 130 turn square loop of wire 18.0 cm on a side that carries a 47.0 A current in a 1.60 T field? N·m(b) What is the torque (in N·m) when is 10.9°? N·m

The final temperature of the mixture of ice and soda is equal to 5 °C with a specific heat of soda and ice.

From the given,

mass of soda = 12 oz

temperature (Ts) = 12.5 °C

mass of ice (Mice) = 0.17 Kg

The temperature of ice (Tice) = -19.5°C

Specific heat of ice (Cice) = 2090 J/kg°C

Specific heat of water (Cwater) = 4186 J/kg°C

Latent heat of fusion of ice (Lf) = 334 kJ/kg.

The final temperature (T₂)=?

Mass of water = 12 / 35.274 = 0.34 kg

The heat lost by soda = heat gained by the ice

heat (Q) = m×c×ΔT where m is mass, C is specific heat and ΔT is a change in temperature.

M(soda)×C(water)×ΔT = M(ice)×Lf + M(ice)×C(ice)(T₂-T₁) + M(ice)×C(w)(T₂-0)

0.34×4186×(T₂-12.5) = (0.17×334) + (0.17× 2090×(T₂ + 19.5)+ (0.17×4186×T₂)

17790.5 - 1423.24 (final temp)= 6985.13 + 711.62 (final temp)

10805.37 = 2134.56 (final.temp)

T₂= 10805.37 / 2134.56

   = 5 °C.

Thus, the final temperature of the mixture is 5°C.

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Answer:

Explanation:

The electric flux through a surface is given by the equation:

Φ = EAcos(θ)

where Φ is the electric flux, E is the electric field, A is the area of the surface, and θ is the angle between the electric field and the surface normal.

We are given Φ = 4.44 N⋅m2/C, A = 6.66×10−4 m2, and θ = 60.0∘. Substituting these values into the equation above and solving for E, we get:

E = Φ / (Acos(θ))

= 4.44 N⋅m2/C / (6.66×10−4 m2cos(60.0∘))

= 1.62×10^4 N/C

Therefore, the magnitude of the electric field is 1.62×10^4 N/C.

The magnitude of the electric field is 13,320 N/C.

The electric flux through a surface is defined as the product of the electric field and the area of the surface projected perpendicular to the electric field. Mathematically, we can write:

Φ = EAcos(θ)

where Φ is the electric flux, E is the electric field, A is the area of the surface, and θ is the angle between the electric field and the surface normal.

Here in the Question,

We are given the electric flux Φ = 4.44 N·m^2/C, the area A = 6.66×10^-4 m^2, and the angle θ = 60.0°. We can solve for the magnitude of the electric field E by rearranging the equation as follows:

E = Φ / (A*cos(θ))

Substituting the given values, we get:

E = 4.44 N·m^2/C / (6.66×10^-4 m^2*cos(60.0°))

Simplifying the denominator, we get:

E = 4.44 N·m^2/C / (6.66×10^-4 m^2*0.5)

E = 13,320 N/C

Therefore, 13,320 N/C is the magnitude of the electric field.

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Answer: Constant Speed

Explanation:

Object's speed does no(sic) change over its entire distance.

No change in speed means that the object is either at constant speed, or is stationary.

On one cookie containing 50 calories, you could potentially go approximately 298 meters

Given that one food calorie is equivalent to 4184 joules, we can calculate the total energy in joules contained in the 50 calorie cookie:

50 food calories * 4184 J/calorie = 209,200 joules

Assuming an average efficiency of around 25% (meaning 25% of the energy is effectively used for movement), and a body weight of 70 kilograms, we can use a rough estimation that it takes about 1 joule of energy to move 0.4 meters (based on the energy cost of walking).

Distance = (Energy obtained from the cookie * Efficiency) / (Energy cost per meter * Body weight)

Distance = (209,200 J * 0.25) / (1 J/m * 0.4 m/kg * 70 kg)

Distance ≈ 298 meters

Therefore, on one cookie containing 50 calories, you could potentially go approximately 298 meters

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Answer:

20.8 N*s

Explanation:

Brainly is being odd so I can't give a good explanation. But the impulse is the average force multiplied by the time the force acts on the object. impulse is basically just the total force

Impulse=Force * time=8*2.6=20.8

Answer:

The two main factors that affect kinetic energy are mass and speed.

Explanation:

Kinetic energy is the energy that is caused by the motion. The kinetic energy of an object is the energy or force that the object has due to its motion. Your moving vehicle has kinetic energy; as you increase your vehicle's speed, your vehicle's kinetic energy increases.

Have a great day! :D

Answer:

Explanation:

(m1 + m2)*V1 = m2*V2 + m1*Vx

Vx = ((m1 + m2)*V1 -  m2*V2) / m1

Vx = ((82 + 48)*7.4 - 48*8.6) /82 = 6.7 m/s

The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.

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To calculate the momentum we can use p=Mv as an equation.

Momentum is defined as the product of the mass and velocity of an object.

Thus the equation of momentum will be p=Mv

Here, p = Momentum

M = Mass of an object

v = Velocity of an object

Momentum is directly proportional to mass and velocity, i.e., as mass increases, momentum also increases. Similarly, as velocity increases, momentum also increases. And on the decrease of mass or velocity, momentum also decreases. Momentum is a vector quantity that shows magnitude as well as direction. The unit for momentum is kg m/s (also Newton-second: Ns)

Momentum describes the motion of the mass.

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Answer: p= mv

Explanation:

Answer:

As in explanation.

Explanation:

A) Centre of Curvature: This is defined as the point in the center of the sphere from which the mirror was sliced. It is represented by the letter "C"

B) Vertex: It is defined as the point on the mirror's surface where the principal axis meets the mirror. It is represented by the letter A.

C) Focal Point: This is defined as the Midway point between the vertex and the center of curvature. It is represented by the letter "F"

D) Radius of Curvature: This is defined as the distance from the vertex to the center of curvature. It is represented by the letter "R"

E) Focal Length: This is defined as the distance from the mirror to the focal point. It's represented by the letter "f"

Answer:

4.7 × 10¹⁶ photons

Explanation:

Step 1: Given data

Step 2: Calculate the number of photons in each pulse

We can calculate the number of photons in each pulse by dividing the energy in a pulse of light by the energy per photon of this light.

1.3 × 10⁻² J / (2.74 × 10⁻¹⁹ J/photon) = 4.7 × 10¹⁶ photon

The given lengths at 0 °C are 2.5 m

Let l₀ be the given lengths of the glass and steel rods at 0 °C. Let l and l' be the lengths of the glass and steel rods at 100 °C respectively.

From our expression for linear expansivity,

l = l₀ + l₀αΔθ where α = linear expansivity of glass = 0.000008/°C and Δθ = temperature change = θ - θ' where θ = 100 °C and θ' = 0 °C. So, Δθ = 100 °C - 0 °C = 100 °C.

Also,

l' = l₀ + l₀α'Δθ where α' = linear expansivity of steel = 0.000012/°C and Δθ = temperature change = θ - θ' where θ = 100 °C and θ' = 0 °C. So, Δθ = 100 °C - 0 °C = 100 °C.

Since the difference in their lengths at 100 °C = 0.001 m, we have that

l - l' = l₀ + l₀αΔθ - (l₀ + l₀α'Δθ)

l - l' = l₀ + l₀αΔθ - l₀ - l₀α'Δθ)

l - l' = l₀αΔθ - l₀α'Δθ

l - l' = l₀(α- α')Δθ

Making l₀ subject of the formula, we have

l₀ = (l - l')/[(α- α')Δθ]

Substituting the values of the variables into the equation, we have

l₀ = (l - l')/[(α- α')Δθ]

l₀ = 0.001 m/[(0.000008/°C - 0.000012/°C)100 °C.]

l₀ = 0.001 m/[(-0.000004/°C)100 °C.]

l₀ = 0.001 m/-0.0004

l₀ = -2.5 m

Neglecting the negative sign,

l₀ = 2.5 m

So, the given lengths at 0 °C are 2.5 m

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Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

When a ball is dropped from a height, its velocity increases linearly due to gravity.

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The wavelengths are given as

firsts harmonic = 40 m

second harmonic = 20 m  

third harmonic = 13.33 m

Wavelength refers to the distance between two consecutive points of a wave that are in phase, or the distance it takes for a wave to complete one full cycle. It is commonly denoted by the Greek letter lambda (λ).

Using the wavelength of the fourth harmonics as reference, we have that the full scale is 20 m

firsts harmonic = 40 m (double of the full scale)

second harmonic = 20 m (covers the full scale)

third harmonic = 20 m * 2/3 = 13.33 m (covers 2/3 of the full scale)

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Answer:

google answers, i'm not 100% on how to type my own answer

Explanation:

Thaw food submerged under running water at a temperature of 70˚F (21˚C) or lower. The water flow must be strong enough to wash food particles into the overflow drain. In a microwave oven. You can safely thaw food in a microwave oven if the food will be cooked immediately.

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

Answer:

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

The temperature remains constant while the substance is changing state.The correct answer is option C.

When a substance undergoes a change of state, such as melting, boiling, or condensing, the temperature of the substance remains constant during the phase transition. The process of changing state requires the absorption or release of heat energy without a change in temperature.

For example, when a solid is heated, its temperature increases until it reaches the melting point. At this point, the substance starts to change from a solid to a liquid, but the temperature remains constant until all the solid has melted.
The absorbed heat energy is used to break the intermolecular forces holding the particles together, rather than increasing the kinetic energy of the particles.

Similarly, during the process of condensation or freezing, a substance releases heat energy as it changes state. This released energy is used to form intermolecular forces and convert the substance from a gas to a liquid or a liquid to a solid. The temperature remains constant until the phase transition is complete.
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The difference in time for the arrival on the ground 7.5 second.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Initial height of the two balls: h = 75 meter.

Acceleration due to gravity: g = 10 m/s².

The time difference between ball vertically projected  down with a velocity 10meters per second and the ball released at the same time to fall freely  is = 75/10 second = 7.5 second.

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The solubility of a substance in a solvent is affected by many factors, including temperature. In general, increasing the temperature of a solvent increases the solubility of a solute in that solvent. This relationship is known as the temperature-solubility relationship.

There are a few different ways in which temperature can affect solubility, depending on the specific solute and solvent in question. For example:

For most solid solutes in liquid solvents, increasing the temperature of the solvent will increase the solubility of the solute. This is because increasing the temperature generally increases the kinetic energy of the solvent molecules, which in turn makes it easier for them to break apart the intermolecular forces holding the solute together and form new solute-solvent interactions.

In some cases, however, the opposite may be true: the solubility of a solute in a solvent may decrease with increasing temperature. This is often observed for gases dissolved in liquids, where increasing the temperature decreases the solubility of the gas. This is because increasing the temperature of the liquid also increases the kinetic energy of the gas molecules, making them more likely to escape from the liquid and form a gas phase.

In rare cases, the temperature-solubility relationship may be more complex and exhibit unusual behavior. For example, for some solutes, the solubility may initially increase with temperature but then decrease at higher temperatures.

Overall, the relationship between temperature and solubility is an important consideration in many chemical processes, including crystallization, precipitation, and dissolution. Understanding this relationship can help scientists and engineers optimize their processes and achieve their desired outcomes.

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If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26\(v_{0}\).

As, P = F v

So, P = kv³

Then, v/v0 = \(\sqrt[3]{P/P0}\).

Therefore, after substituting the values, the speed will be 1.26\(v_{0}\).

What is power?

In physics, power is the amount of energy transferred or converted per unit of time. In the International System of Units, the unit of power is the watt, which is equivalent to 1 joule per second. In older works, force is sometimes called activity. Power is a scalar quantity.

Power is related to other quantities. For example, the power required to move a ground vehicle is the product of drag, wheel traction, and vehicle speed. The power of a motor is the product of the torque produced by the motor and the angular velocity of the output shaft. Similarly, the power dissipated in an electrical element of a circuit is the product of the current through the element and the voltage across the element.

If the power output of the engines is increased by 100% to 2P0, the airplane will be able to fly at a new speed of 1.26\(v_{0}\).

As, P = F v

So, P = kv³

Then, v/v0 = \(\sqrt[3]{P/P0}\).

Therefore, after substituting the values, the speed will be 1.26\(v_{0}\).

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The radii of the first five Fresnel zones is 3.6 mm.

Distance from the light source to the wave surface, d₁ = 1 m

Distance from the wave surface to the observation point, d₂ = 1 m.

Wavelength of the light used, λ = 5 x 10⁻⁶m = 5 μm

The expression for the radius of the Fresnel zones is given by,

rₙ = √[nλd₁d₂/(d₁ + d₂)]

Therefore, the radii of the first five Fresnel zones is,

r₅ = √[5 x 5 x 10⁻⁶x 1 x 1/(1 + 1)]

r₅ = √(25 x 10⁻⁶/2)

r₅ = 3.6 x 10⁻³m

r₅ = 3.6 mm

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Answer:

A. True

Explanation:

Given that there is approx 4.7 billion salt tons in the Great Salt Lake due to which it extremely dense the water.

So if a group of swimmers dives in that so it would be easy to stay afloat as we know that the salt density is greater or more than as if we compared to the water that results into upward buoyant force is large

Therefore as per the situation, the given statement is true

\(a = \frac{vf - vi}{t} \)

here initial velocity vi=0 as ball release from rest

the final velocity is vf=4.0

time is t=6

so putting all these values in above equation

\(a = \frac{ 4.0- 0}{6} \)

\(a = 0.6667m \s {}^{2} \)

Answer:

I would need to see the part a to be more specific but this may help:

resources like solar, water, wind are considered renewable because they will never run out, they can be replenished over and over again. There will always be a sun (and if there wasn't then we'd have bigger conserns than renewable energy) and the wind will always blow. It can never run out because you use too much unlike coal and fossil fuels.

Hope this helps!

We are given:

Frequency of the wave = 100 Hz

Velocity of the wave = 5 m/s

Finding the Wavelength:

We know the relation between the wavelength and frequency is:

u = νλ    [where ν is the frequency, u is the speed and λ is the wavelength]

5 = 100*(λ)

λ = 5/100         [dividing both sides by 100]

λ = 1/20

λ = 0.05 m

Hence, the wavelength is 0.05 m

Answer:

Gravity stronger closer to the core of the earth

Explanation:

The gravity applied to the feet is stronger than to the upper part of the body for example the brain because of the distance it is between the body part and the core of the earth where the gravity force is pulling towards. Even though the difference between the gravity force between the brain and the feet is minimal it is still a greater force at the feet than at the brain