A substance has a freezing point of -38°C and a boiling point of 356°C. At what temperature would this substance be in its liquid state?

Answer: the water level would rise since the pebble displaces minimal water compared to the boat.

Explanation:..........

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Displacement is equal to ~

See the attachment for solution ~

Answer:

It is 24000meter per second

91% is the voltage applied to the load (secondary voltage) and the efficiency.

To determine the voltage applied to the load (secondary voltage) and the efficiency, we can use the equivalent circuit parameters of the transformer and the given load impedance.

Given parameters:

Transformer rating: 20 kVA

Transformer turns ratio: 800/230 [V]

R1 = R2 = 10 Ω

X1 = X2 = 50 Ω

Rc = 100 Ω

Xm = 20 kΩ

Load impedance: ZL = 2+j0.6 Ω

First, we can calculate the equivalent impedance seen by the primary side of the transformer using the turns ratio:

Zeq = (ZL * (N2/N1)^2) = (2+j0.6 * (230/800)^2) = 0.79+j0.237 Ω

Next, we can calculate the primary current (I1) using the formula:

I1 = V1 / (R1 + jX1 + Zeq) = 800 / (10+j50 + 0.79+j0.237) = 8.29 - j2.35 A

Now, we can calculate the secondary voltage (V2) using the turns ratio:

V2 = V1 * (N2/N1) = 800 * (230/800) = 230 V

Finally, we can calculate the efficiency (η) using the formula:

η = (Pout / Pin) * 100

Where Pout is the output power and Pin is the input power. Since this is a single-phase transformer, the power factor is given by:

Power Factor (PF) = Pout / Pin = (V2 * I2) / (V1 * I1)

We know V2 = 230 V, V1 = 800 V, and we can calculate I2 using Ohm's Law:

I2 = V2 / ZL = 230 / (2+j0.6) = 105.56 + j31.67 A

Now, we can calculate the power factor:

PF = (V2 * I2) / (V1 * I1) = (230 * (105.56 + j31.67)) / (800 * (8.29 - j2.35))

= 0.91 + j0.21

Finally, we can calculate the efficiency:

η = (PF) * 100 = (0.91 + j0.21) * 100 = 91% + j21%

Therefore, the secondary voltage applied to the load is 230 V, and the efficiency of the transformer is 91% with a power factor of 0.91 leading.

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The magnitude of the emf generated around the loop as a function of t is 2πBa²t. (A)

Steps to calculate the emf generated around the loop

1. The area A of the circular loop is given by A = πR² = π(at)².

2. The magnetic flux Φ through the loop is given by Φ = B * A, where B is the magnetic field strength.

3. Substituting A into the magnetic flux equation, we get Φ = B * π(at)².

4. According to Faraday's law of electromagnetic induction, the magnitude of emf is given by the absolute value of the time rate of change of magnetic flux: emf = |dΦ/dt|.

5. Differentiating Φ with respect to t: dΦ/dt = B * π * 2(at) * a.

6. The magnitude of the emf generated is therefore: 2πBa²t.(A)

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The magnitude of the force exerted by your friend on you is the same as the force exerted by you on your friend. Both forces are equal in magnitude but opposite in direction, resulting in a balanced tug of war.

The magnitude of the force exerted by your friend on you is the same. In a tug of war, the forces acting on each person are equal in magnitude but opposite in direction. This is known as Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

When you and your friend pull on the rope, your friend exerts a force on you in one direction, while you exert an equal and opposite force on your friend. These forces cancel each other out, resulting in a state of equilibrium where neither of you seems to be winning.

Even though you may move a little one way or the other, the magnitude of the force exerted by your friend on you remains the same. This is because the force depends on the strength and effort applied by each person, not on their size or weight.

So, in this scenario, the magnitude of the force exerted by your friend on you is the same as the force exerted by you on your friend. Both forces are equal in magnitude but opposite in direction, resulting in a balanced tug of war.

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The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters after all velocity and acceleration calculations.

There is a particle moving in the xy-plane, whose position can be represented as 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 for 0 ≤ t ≤ 8 seconds. We can find its velocity and acceleration vectors using this position vector.

At t = 8 seconds, the particle starts moving in a straight line with the same velocity vector as it had at that time. Therefore, for t ≥ 8 seconds, we can find the position vector of the particle.

To find the position of the particle at t = 10 seconds, we need to substitute t = 10 in the equation of position vector for t ≥ 8 seconds. The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters.

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Answer:

Put water at room temperature into a vacuum chamber and begin removing the air. Eventually, the boiling temperature will fall below the water temperature and boiling will begin without heating. Or if you want to be easy but messy, add dry ice to a bowl of water and watch how the water starts to boil.

The correct option is option E) three times slower than on Earth.

The acceleration due to gravity near the surface of Mars is about one-third of the value near the Earth's surface, which is approximately 3.71 m/s^2. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

Gravity is a fundamental force of nature that acts between any two masses. It is what holds the planets in orbit around the Sun, and what keeps the Moon in orbit around the Earth.

The strength of the gravitational force between two objects depends on their masses and the distance between them.

The final velocity of an object falling under the influence of gravity can be calculated using the equation:

vf = vi + g * t

where:

vf = final velocity

vi = initial velocity (assumed to be zero for an object dropped from rest)

g = acceleration due to gravity

t = time of fall

If a rock fell for the same amount of time on Mars and Earth, the final velocity of the rock on Mars would be:

vf = vi + 3.71 m/s^2 * t

and the final velocity of the rock on Earth would be:

vf = vi + 9.8 m/s^2 * t

Since the time of fall is the same in both cases, we can see that the final velocity of the rock on Mars would be one-third of the final velocity of the rock on Earth. So, the speed with which the rock hit the ground on Mars would be lower than the speed with which it hit the ground on Earth.

Therefore, The correct option is option E) three times slower than on Earth.

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Rounding to the nearest mile, the estimated distance you can travel is approximately 198 miles.

To estimate the distance you can travel in 4 hours and 50 minutes at an average speed of 41 miles per hour, we need to convert the time to hours.

4 hours and 50 minutes is equivalent to 4.83 hours (since 50 minutes is 50÷60 = 0.83 hours).

Now, we can calculate the distance traveled using the formula: distance = speed × time.

Distance = 41 miles/hour × 4.83 hours

Distance ≈ 198.03 miles

Rounding to the nearest mile, the estimated distance you can travel is approximately 198 miles.

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Answer:

Approximately \(2.69\; {\rm A}\).

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).

Electric current \(I\) is the rate of flow of electric charge.

In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:

\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).

Answer:

v = 3.24 m/s

Explanation:

Since we don't have time, we can use the formula;

(Final distance - initial distance)/time = (initial velocity + final velocity)/2

Thus;

(x_f - x_i)/t = ½(v_xi + v_xf)

We are given;

x_i = 0 m

x_f = 5 m

v_xi = 0 m/s

v_xf = 5 m/s

Thus, plugging in the relevant values;

(5 - 0)/t = (0 + 5)/2

5/t = 5/2

t = 2 s

Using Newton's first law of motion, we can find the acceleration.

v = u + at

Applying to this question;

5 = 0 + a(2)

5 = 2a

a = 5/2

a = 2.5 m/s²

To get the speed, in m/s, of the block when it had traveled only 2.1 m from the top, we will use the formula;

v² = u² + 2as

v² = 0² + 2(2.5 × 2.1)

v² = 10.5

v = √10.5

v = 3.24 m/s

If we are given the forces acting on the particle, we can calculate the work done by each force using the equation: W = Fdcos(θ).

To calculate the work done by the forces on the particle, we need to know the net force acting on the particle and the displacement of the particle.

Given that the particle moves along a straight path from (0 m, 0 m) to (5 m, 6 m), its displacement is:

d = √((5 m - 0 m) + (6 m - 0 m)) = 7.81 m

The net force on the particle can be calculated using the equations of motion or the force diagram. However, since we are not given any information about the forces acting on the particle, we cannot calculate the net force and therefore cannot calculate the work done by the forces.

If we are given the forces acting on the particle, we can calculate the work done by each force using the equation:

W = Fdcos(θ)

here F is the force, d is the displacement of the particle, and theta is the angle between the force and the displacement. The net work done on the particle is then the sum of the work done by each force.

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3.89 units is the magnitude of the resultant when vectors A and B are added. Vector B is 4.6 units in length and points along the direction of 195 degrees counterclockwise from the positive x axis.

To find the magnitude of the resultant when vectors A and B are added, we need to use the Pythagorean theorem. First, we need to find the components of vector B in the x and y directions.
The angle between vector B and the positive x axis is 195 degrees counterclockwise. To find the x component, we can use cosine:
cos(195) = adjacent/hypotenuse
\(adjacent= cos(195)4.6\)
adjacent = -3.78
The x component of vector B is -3.78 units. The negative sign indicates that it points in the negative x direction.
To find the y component, we can use sine:
sin(195) = opposite/hypotenuse
opposite = sin(195) × 4.6
opposite = -4.16
The y component of vector B is -4.16 units. The negative sign indicates that it points in the negative y direction.
Now we can add the components of vectors A and B:
Resultant x = 0 + (-3.78) = -3.78
Resultant y = 3.2 + (-4.16) = -0.96
To find the magnitude of the resultant, we can use the Pythagorean theorem:
\(Magnitude of Resultant = \sqrt{(-3.78^{2} ) + (-0.96^{2} )}\)
Magnitude of Resultant = 3.89
Therefore, the magnitude of the resultant when vectors A and B are added is 3.89 units.

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The correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.

To find the distance from the conductor at which the magnetic field caused by the current is equal to the Earth's magnetic field, we'll use the formula for the magnetic field around a long straight conductor:

\(B = (de * I) / (2 * \pi  * r)\)

Where B is the magnetic field, μ₀ is the permeability of free space (\(4\pi  * 10^-7 Tm/A\)), I is the current, and r is the distance from the conductor. We want to find the value of r when B equals Earth's magnetic field (0.5 x 10⁻⁴ T).

\(0.5 * 10^-4 T = (4\pi  * 10^-7 Tm/A * 100 A) / (2 * \pi  * r)\)
To solve for r, we can first simplify the equation by cancelling the π terms:

\(0.5 * 10^-4 T = (4 * 10^-7 Tm/A * 100 A) / (2 * r)\)

Now, cancel out the A (Amperes) terms:

\(0.5 * 10^-4 T = (4 * 10^-7 Tm) / (2 * r)\)

Divide both sides by 4 x 10⁻⁷ T:

\(r = (0.5 * 10^-4 T) / (4 * 10^-7 T)\)

Simplify the equation:

r = \(0.5 * 10^3 m / 4\)
r = 500 / 4
r = 125

So, the correct answer is not provided in the given options A, B, C, or D. The distance from the axis at which the magnetic field caused by the current is equal in magnitude to Earth's magnetic field is 125 meters.

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Answer:

..

Explanation:

Coordinate adjectives are adjectives that describe the same noun equally. They should be separated with commas. In this sentence, both red and round are describing the ball. The correct answer is, "The red, round ball is Adley's favorite toy to play with."

The wavelength of red light in the glass would be 466.67 nm. The following is an explanation of how to get there:

We know that the wavelength of light changes as it moves from one medium to another. This change in the wavelength of light is described by the equation:

λ1/λ2 = n2/n1

where λ1 is the wavelength of light in the first medium, λ2 is the wavelength of light in the second medium, n1 is the refractive index of the first medium and n2 is the refractive index of the second medium.

In this case, the red light of wavelength 700 nm is moving from air (where its refractive index is 1.0) to glass (where its refractive index is 1.5). So, we can use the above equation to calculate the wavelength of light in the glass.

λ1/λ2

= n2/n1700/λ2

= 1.5/1.0λ2

= (700 nm x 1.0) / 1.5

λ2 = 466.67 nm

Therefore, the wavelength of the red light in the glass is 466.67 nm.

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Answer:

11.25m

Explanation:

Given parameters:

Initial velocity  = 0m/s

Time of running  = 3s

Acceleration  = 2.5m/s²

Unknown:

Displacement = ?

Solution:

To solve this problem, we apply one of the motion equations.

  S  = ut + \(\frac{1}{2}\) at²

   u is the initial velocity

    t is the time taken

    a is the acceleration

 S = (0 x 3)  + ( \(\frac{1}{2}\)  x 2.5 x 3²)   = 11.25m

Answer:

In order to create a new element you have to change the number of protons in a nucleus.

To maintain equilibrium, the new distance must be such that the electrostatic force is still equal to the initial force. Therefore, the new equilibrium distance between the balls in the test tube would be √2 times the original distance, or √2 * d, when the charges on both balls are doubled.

The equilibrium distance between the balls in the test tube would decrease. This can be explained by Coulomb's Law, which 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. Therefore, if the charge on each ball is doubled, the force between them will be four times greater than before. In order to maintain equilibrium, the balls must move closer together to decrease the distance between them, thus reducing the force acting on each ball.

When the charge on each small charged plastic ball is doubled, the equilibrium distance between the balls in the frictionless test tube will also change. Initially, the balls are in equilibrium at a distance 'd' apart. The electrostatic force between them is determined by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. After doubling the charges, the electrostatic force between the balls will increase by a factor of four since the product of the charges is now (2Q) * (2Q) = 4Q^2. In order for the balls to remain in equilibrium, the force must be balanced by an equal and opposite force acting upon them.

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Answer:

B

Explanation:

because. it reduces the distance between the earth

Answer:

A.1

Explanation:

on the vector plot you should count up and if you count up you´ll get one

The length of the y-component of the vector plotted in the given question would be 1. Thus, the correct option is A.

A vector field can be defined as an assignment of a vector to each point in the subset of space. For instance, a vector field in the plane can be easily visualized as a collection of arrows with a given magnitude and direction of a particle, each line or arrow attached to a point in the plane of space.

Vector plots are used to create vector lines between any two points or from one point in space to the specified angle direction and with the selected magnitude and direction of the quantity or quality.

In the given graph, the Y-component is the vertical line or vertical component. The value of the y-component of the vector plotted is 1.

Therefore, the correct option is A.

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Hello

we can use the equation

E=mc️T

If we rearrange this to get the mass our new equation is

E/cT=mass

We have

E as 650J

c as 130J/kg⁰

️T as 45-19=26⁰

E/c️T=m

650/(130*26)=0.19 kg

That's your answer, hope it helps!

Also just a note T here is denoted as delta T showing change in temperature

The instruments used to determine the speed of the object are a speedometer and a tachometer.

A speedometer, an instrument that indicates the speed of a vehicle/object, is usually combined with a device called an odometer that records the distance traveled. Gear motion produces a current that is directly proportional to the speed of rotation of the gear. A computer chip processes the current and converts it into a number corresponding to the speed of travel (miles or kilometers per hour).

A speedometer is a counting device. Used to indicate the revolutions per minute (RPM) of an aircraft engine. This instrument has a typical measurement accuracy of ±0.5% and is widely used as an automobile speedometer and aircraft engine speedometer.

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Answer:

A

(a) 16J

B

(b) 8J

C

(c) 32J

D

(d) 24J

Answer

B

Solution

Small amount of work done in extending the spring by dx is

dW=kxdx

∴W=k∫

0.15

0.05

xdx=

800

2

[(0.15)2-(0.05)2]=8J

The time taken by the boat to accelerate from zero to 90 km/hr over 1 km is 11.11 seconds, and the acceleration is 8.1 m/s2.

The problem has provided the initial speed of the boat as zero, and the final speed as 90 km/hr.

We need to find the time taken by the boat to accelerate from zero to 90 km/hr over 1 km.

We can use the formula of acceleration to solve this problem.

The formula is:

v = u + at

where, v is the final velocity

u is the initial velocity

a is the acceleration

t is the time taken

From the above formula, we can write:

90 = 0 + a * t

where acceleration is a, and time taken is t.

Therefore, a * t = 90...…..(1)

The boat has traveled 1 km, which is 1000 m.

We can use the formula of average speed to calculate acceleration.

The formula is:

v = d / t

where, v is the speed

d is the distance traveled

t is the time taken.

We can write this formula as:

t = d / v,

where distance traveled is d, and the speed is v.

Substituting the values in the above equation, we get:

t = 1000 / 90t = 11.11 seconds.

From equation 1, we get a = 90 / t,

substituting the value of t, we get:

a = 90 / 11.11

a = 8.1 m/s2

Therefore, the time taken by the boat to accelerate from zero to 90 km/hr over 1 km is 11.11 seconds, and the acceleration is 8.1 m/s2.

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The electric field at a distance z above the center of a square loop carrying uniform line charge λ can be calculated using the formula:

E = λ / (4πε₀) * [(√2 + z) / (a² + z²) + (√2 - z) / (a² + z²)]

Where E is the electric field, λ is the line charge density, ε₀ is the permittivity of free space, z is the distance above the center of the loop, and a is the side length of the square loop.

The formula takes into account the contributions of the electric field from each side of the square loop. The terms (√2 + z) / (a² + z²) and (√2 - z) / (a² + z²) represent the field contributions from the sides parallel and perpendicular to the direction of the distance z, respectively. By summing these contributions, we can determine the electric field at the given distance above the center of the loop.

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Answer:

At point A, the comet has the least kinetic energy because the comet is resting. 3. From point B to point D its orbit's potential energy is decreasing and its kinetic energy is increasing meaning it's moving more and more

The concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.

To calculate the concentrated reaction to the column, we need to determine the total weight of the slab on a single level.

Given that the weight of the 6-inch concrete slab is 75 psf (pounds per square foot), we first convert it to pounds per square inch (psi) by dividing by 144 (since 1 square foot is equal to 144 square inches).

Weight of slab per unit area = 75 psf / 144 = 0.5208 psi

Next, we calculate the area of the slab on a single level by multiplying the spacing in the long direction (25 ft) by the spacing in the short direction (20 ft).

Area of slab = 25 ft * 20 ft = 500 sq. ft

Finally, we multiply the weight per unit area by the area of the slab to find the total weight of the slab on a single level.

Total weight of slab = 0.5208 psi * 500 sq. ft = 260.4 lb

Therefore, the concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.

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