A 500 hp, three-phase, 2200 V, 60 HZ, 12-pole, Y-connected, wound-rotor induction motor has the following parameters:R1 = .225 ohm : R'2= .235 ohm Xeq = 1.43 ohm and Xm = 31.8 ohm and Rm = 780 ohmCalculate the following:Â(a) Slip at maximum torque(b) Input current and power factor at maximum torque(c) Maximum torque(d) Resistance that must be added to the rotor windings (per phase) to achieve maximum torque at starting

The Mach number for the plane is approximately 3.51.

To find the speed of the plane, we can use the equation:

Speed of sound = Speed of the plane / Time taken

Given: Speed of sound (v) = 344 m/s

Time taken (t) = 3.51 seconds

Let's calculate the speed of the plane:

Speed of plane = Speed of sound × Time taken

Speed of plane =\(344 m/s * 3.51 s\)

Speed of plane ≈ 1206.44 m/s

Rounded to 2 decimal places, the speed of the plane is approximately 1206.44 m/s.

To find the Mach number of the plane, we need to divide the speed of the plane by the speed of sound:

Mach number = Speed of plane / Speed of sound

Mach number ≈ \(1206.44 m/s / 344 m/s\)

Mach number ≈ 3.51

Rounded to 2 decimal places, the Mach number for the plane is approximately 3.51.

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The minimum speed required for a roller coaster to traverse a loop-the-loop with a radius of 13.2 m without the rider falling out while upside down is: 22.6 m/s

The minimum speed required for a roller coaster to traverse a loop-the-loop without the rider falling out while upside down is dependent on the radius of the loop. For a loop with a radius of 13.2 meters, the minimum speed required is around 22.6 m/s.

This can be calculated using the equation v = sqrt(gr), where g is the acceleration due to gravity (9.8 m/s2) and r is the radius of the loop (13.2 m).

To explain further, the coaster is undergoing uniform circular motion, meaning the car is experiencing centripetal acceleration. This is the force causing the car to travel in a curved path and is equal to the square of the speed (v2) divided by the radius (r).

Since the acceleration due to gravity is also equal to the speed squared divided by the radius (g = v2/r), then the speed must be equal to the square root of the product of the acceleration due to gravity and the radius (v = sqrt(gr)).

Therefore, the minimum speed required for a roller coaster to traverse a loop-the-loop with a radius of 13.2 m without the rider falling out while upside down is around 22.6 m/s, calculated using the equation v = sqrt(gr).

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Answer:

i thinks its last one or 2nd one

Answer:

The thrust is  \(F = 7828.3 \  N \)

Explanation:

From the question we are told that

   The speed of the jet aircraft is  \(v = 214 \ m/s\)

    The rate at which the engine takes in air is \(\^ Q = 115 \ kg/s\)

    The rate  at which the engine burns fuel is  \(\r m = 2.53 \ kg/s\)

    The speed of the exhaust gases is  \(u = 276 \ m/s\)

Generally the thrust of the engine is mathematically represented as

      \(F =[ \^ Q * ( u - v )] + (\r m * u)\)

=>   \(F =[ 115 * ( 276  -  214 )]  + (2.53 * 276)\)

=>   \(F = 7828.3 \  N \)

Earth's innermost core is solid, not liquid because the pressure is too high for the material to be in a liquid state. The correct answer is d.

Earth's innermost core is solid, not liquid, primarily due to the high-pressure conditions present at the core's depths.

The pressure in the Earth's core is estimated to be about 3.6 million times greater than atmospheric pressure.

At such immense pressures, the material in the inner core, which is primarily composed of iron and nickel, is compressed to such an extent that it remains in a solid state despite high temperatures.

Even though the core's temperature is believed to exceed the melting point of iron, which is around 1538 degrees Celsius (2800 degrees Fahrenheit), the tremendous pressure prevents the iron from transitioning into a liquid state.

The intense pressure counteracts the tendency of the material to melt and maintains its solid form.

Therefore, the correct option is d.

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The Earth's innermost core is solid because of the high pressure at the center of the Earth. Despite the high temperature, the immense pressure prevents the iron from melting, keeping it in a solid state.

The Earth's innermost core is solid because of the high pressure at the center of the Earth. When the Earth was forming, the heavy, solid material sank to the bottom due to a process called differentiation. This caused the solid material, primarily composed of iron and nickel, to accumulate in the innermost core.

The temperature at the center of the Earth is extremely high, reaching up to 5700 degrees Celsius. However, despite the high temperature, the immense pressure exerted on the inner core by the weight of the overlying layers of the Earth prevents the iron from melting. The pressure at the center of the Earth is estimated to be about 3.6 million times greater than atmospheric pressure.

This high pressure keeps the iron in the inner core in a solid state, even at such high temperatures. Therefore, the Earth's innermost core is solid, not liquid.

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Answer:

36 ml

Explanation:

The volume of the water was 50 ml without anything in it. When you put something in water, the amount of volume that it rises is the volume of the object put into it. It rose up to 86 ml.

86-50=36

36 ml

answer of the question is into the picture ️

Answer:

"phase change"

I think for water:

Lf (latent heat of fusion) = 80 cal/gm

Lv (latent heat of vaporization) = 540 cal / gm

Velocity this answer assumes that the cargo box falls with an initial vertical velocity of zero and that drag is negligible. In practice, air resistance affects the movement of the box, so the crew had to take this into account to hit the target.

The initial vertical velocity of a crate when it is dropped from a cargo plane is zero (free fall), but it still has the flying plane's horizontal velocity. As a result, the falling box would follow a parabolic route.

The crate should be dropped before the plane passes directly over the target in order to make it strike since the horizontal component of net velocity will lead the crate to move in the direction of the target.

Therefore, choice a is right.

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Answer:

the ancer is c I know it because I had the same test or it might have been different but it looks familiar to me

Answer:

What volume of iron of density 0.8g/cm³ must be attached to wood whose mass is 100g. If wood has density of 0.3g/cm³ and both have be submerged in water. please guys help me​

Explanation:

What volume of iron of density 0.8g/cm³ must be attached to wood whose mass is 100g. If wood has density of 0.3g/cm³ and both have be submerged in water. please guys help me​

The roller coaster's highest point is 6.12 metres above the ground.

Kinetic energy is the power a thing possesses as a result of motion. It is equal to the object's mass divided by the square of its velocity, or one-half of the object's mass. At its maximum speed of 50 m/s, the roller coaster car contains 3000j of kinetic energy.

The roller coaster's potential energy is equal to the height above the ground when it is at its highest point. Potential energy is equal to an object's mass times its gravitational acceleration times its height.

As a result, the roller coaster's highest point's separation from the ground is determined by 3000j divided by (50 m/s multiplied by 9.8 m/s2), or 6.12 metres.

Therefore, the roller coaster's highest point is 6.12 metres above the ground.

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This part of the plane lies above a triangle with boundaries \(x=0\) and \(y=0\) along the coordinate axes, as well as the line

\(z=0 \implies 5x + 3y = 15 \implies y = \dfrac{15 - 5x}3\)

When \(y=0\), we have \(15-5x=0\implies x=3\). So this triangle is the set

\(T = \left\{(x,y)\in\Bbb R^2 ~:~ 0\le x\le3 \text{ and } 0\le y\le\dfrac{15-5x}3\right\}\)

Also, when \(x=0\), we have \(y=\frac{15}3=5\). So the triangle has length 3 and width 5, hence area 1/2•3•5 = 15/2.

Let \(z=f(x,y) = 15 - 5x - 3y\). Then the area of the plane over \(T\) is

\(\displaystyle \iint_T dA = \iint_T \sqrt{1 + \left(\frac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy\)

We have

\(\dfrac{\partial f}{\partial x} = -5 \implies \left(\dfrac{\partial f}{\partial x}\right)^2 = 25\)

\(\dfrac{\partial f}{\partial y} = -3 \implies \left(\dfrac{\partial f}{\partial y}\right)^2 = 9\)

\(\implies\displaystyle \iint_T dA = \sqrt{35} \iint_T dx\,dy = \boxed{\frac{15\sqrt{35}}2}\)

since the integral

\(\displaystyle \iint_TdA\)

is exactly the area of \(T\), 15/2.

The final gravitational force will be 1/16th of the initial gravitational force. In other words, the gravitational force will decrease when the objects are moved from 1 meter apart to 4 meters apart.

The gravitational force between two objects depends on their masses and the distance between them. According to Newton's law of universal gravitation, the force is inversely proportional to the square of the distance between the objects and directly proportional to the product of their masses.

Let's assume that the masses of the objects remain constant. If the objects are initially placed 1 meter apart and then moved to a distance of 4 meters, we can calculate how the gravitational force changes.

The formula for the gravitational force is:

F = G * (m1 * m2) / r^2

Where:

F is the gravitational force between the objects.

G is the gravitational constant.

m1 and m2 are the masses of the objects.

r is the distance between the objects.

Assuming the masses and the gravitational constant remain constant, we can compare the initial and final gravitational forces.

Let's denote the initial force as F_initial and the final force as F_final. Using the formula above, we can calculate the ratio of the final force to the initial force:

F_final / F_initial = (G * (m1 * m2) / (4^2)) / (G * (m1 * m2) / (1^2))

                    = (1 / 16) / (1 / 1)

                    = 1 / 16

This decrease in the gravitational force is a result of the inverse square law. As the distance between the objects increases, the force weakens exponentially. In this case, the force decreases by a factor of 16 because the distance is quadrupled (from 1 meter to 4 meters).

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The probable question may be:

2 objects are initially placed 1 meter apart. By how much will the gravitational force between the objects change if they are moved to 4 meter apart? Explain and state whether it will increase of decrease.

Answer:

1. s = d/t

22. d = 3km = 3000m

t = 2m = 60s

s = 3000/60

= 300/6

= 50m/s

Therefore, the speed of the car is 50 m/s.

23. s = 60km/hr

t = 2hrs

d = s × t

d = 60 × 2

d = 120km

The car travels for 120km.

24. s = 10mile/hr

d = 35km

t = d/s

t = 35/10

t = 3.5hrs

The girl takes 3.5 hours to cover the distance

The magnetic dipole moment of the circular loop of wire with a current of 5 A and radius of 15 cm is approximately 0.354 Tm², up to three significant digits.

The magnetic dipole moment of the circular loop of wire in the x-y plane. Given the current I = 5 A flowing clockwise and the radius R = 15 cm, you can use the following formula:

Magnetic dipole moment (μ) = current (I) × area of the loop (A)

First, convert the radius from centimeters to meters:
R = 15 cm × (1 m / 100 cm) = 0.15 m

Next, calculate the area of the loop:
A = π × R² = π × (0.15 m)² ≈ 0.0707 m²

Now, find the magnetic dipole moment:
μ = I × A = 5 A × 0.0707 m² ≈ 0.354 Tm²

So, the magnetic dipole moment of the circular loop of wire with a current of 5 A and radius of 15 cm is approximately 0.354 Tm², up to three significant digits.

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To increase the boiling temperature of 2051 g of water by 1.500 °C, approximately 3.431 grams of NaCl would need to be added.

Explanation:

The boiling point elevation is determined by the molality of the solute in the solution. The equation for boiling point elevation is:

ΔTb = Kb * m

Where:

ΔTb is the boiling point elevation,

Kb is the boiling point elevation constant for water (0.5100 °C/m),

m is the molality of the solute.

To calculate the molality, we can use the formula:

m = (moles of solute) / (mass of solvent in kg)

Given that we want to increase the boiling temperature by 1.500 °C, and the Kb value is 0.5100 °C/m, we can rearrange the equation to solve for the molality:

m = ΔTb / Kb

m = 1.500 °C / 0.5100 °C/m

m ≈ 2.941 m

To convert molality to mass, we need to know the molecular weight of NaCl. The molecular weight of NaCl is approximately 58.44 g/mol.

Using the formula:

mass of solute = molality * molecular weight of solute * mass of solvent in kg

mass of solute = 2.941 m * 58.44 g/mol * 2.051 kg

mass of solute ≈ 3.431 g

Therefore, approximately 3.431 grams of NaCl would need to be added to 2051 g of water to increase the boiling temperature of the solution by 1.500 °C.

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The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=1.33t^(2), the long it take a rock falling from rest to reach a velocity of 27.2(m)/(s) on this planet is 1.414 seconds.

Free fall is a type of movement that an object undergoes when it falls freely under the effect of gravity. Gravity is a force that acts on every object and makes it move towards the center of the earth or any other celestial body. The acceleration due to gravity is expressed as g, and it is equal to 9.8 m/s² on earth. The time it takes a rock falling from rest to reach a velocity of 27.2 m/s on this planet can be calculated by equating the acceleration due to gravity with the given velocity.

The formula for velocity is given by V=U+at, where V is the final velocity, U is the initial velocity, a is the acceleration, and t is the time taken to reach the final velocity. Under free fall, the initial velocity is zero; therefore, the formula can be simplified to V = at.

Substituting the given values in the formula, we get 27.2=1.33t² × g or 27.2=1.33t² × 9.8.

We can simplify this equation to t² = (27.2)/(1.33 × 9.8) or t² = 2.

The square root of 2 is 1.414. Therefore, the time taken for the rock to reach a velocity of 27.2 m/s on this planet is 1.414 seconds.

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(a) The velocity of the first ball before the collision with the second ball is 11.18 m/s.

(b) The final velocity of the two balls after the collision is determined as 5.59 m/s.

The speed of the block when pushed by the spring is calculated as follows;

K.E = Ux

¹/₂mv² = ¹/₂kx²

mv² = kx²

v² = kx²/m

v² = (25 x 0.5²)/0.05

v² = 125

v = 11.18 m/s

The velocity of the two balls after the collision is calculated as follows;

Pi = Pf

where;

m1u1 + m2u2 = v(m1 + m2)

0.05(11.18) + 0.05(0) = v(0.05 + 0.05)

0.559 = 0.1v

v = 5.59 m/s

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Answer:

Sound

Explanation:

Answer:

When an object vibrates, it creates kinetic energy that is transmitted by molecules in the medium. As the vibrating sound wave comes in contact with air particles passes its kinetic energy to nearby molecules. As these energized molecules begin to move, they energize other molecules that repeat the process.

Explanation:

So sound waves

Answer:

ik

Explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Given terms :

As we know, Distance covered is equal to :

According to the question, the critical angle for total internal reflection within the water is 48.9 degrees.

Reflection is a process of thinking deeply and critically about a particular topic or experience. It is a way to gain deeper understanding and create connections between the past and the present. Reflection is often used to help people make sense of their own experiences and to gain insight into the impact of their actions. Reflection can also be used as a way to make sense of the world around us, to gain insight into different perspectives, and to develop empathy for people from different backgrounds.

In this case, the incident medium is water and the refracting medium is glass. Therefore, we can solve for the angle of incidence (θi) using the following equation: sin θi = (1.50/1.33) × sin θr

where θr is the angle of refraction in the glass. Since θr is 90 degrees when total internal reflection occurs, the critical angle for total internal reflection in water is:

θi = sin-1((1.50/1.33) × sin 90) = 48.9 degrees

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Energy refers to the ability or capacity to do work. Energy can be of various types as follows:

Kinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.

The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.

Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.

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Total length of the compressed spring can be calculated using Hooke's Law.

Hooke's Law states that the force exerted by a spring is proportional to its displacement from the equilibrium position, which can be expressed as F = -kx, where F is the force, k is the spring constant, and x is the displacement. When a block of mass m is placed on the spring, it exerts a force equal to its weight, mg, causing the spring to compress. We can set up the equation mg = kx and solve for the displacement x.

Summary: To find the total length of the compressed spring, first calculate the displacement x by using the equation mg = kx. Then, subtract the displacement x from the original length l to get the total length of the compressed spring.

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If a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s, then the acceleration of the rock would be 8 meters/second².

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s,

initial velocity of rock = 0 m/s

displacement = 100 meters

time = 5 seconds

s = ut + 0.5at²

100 = 0 + 12.5a

a = 100/12.5

  = 8 meters/second²

Thus, the acceleration of the rock would be 8 meters/second².

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As the distance between charged tape and charged rod decreases, the force of interaction between them increases.

The force of interaction between the charged tape and charged rod is governed by Coulomb's Law.

This law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

So, as the distance between the charged tape and charged rod decreases, the force of interaction increases.

This is because the charges on the objects are now closer to each other, allowing for a stronger attraction or repulsion, depending on the nature of the charges (like charges repel, opposite charges attract).

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Answer: hey

Explanation:

Answer:

While there is no such thing as 100 percent safe, having nuclear energy is much safer than you think. It's thousands of times safer than conventional coal and other fossil-fuel-derived energy, not to mention the specter of environmental disaster from continued use of carbon-based energy sources.29 may. 2011

Explanation:

I hope it helps you

Answer:

karishma tanna

Explanation:

it is correct

Karishma Tanna was declared as the winner.