calculate p for the following values: v=100cos(ωt 50∘)v , i=25cos(ωt 15∘)a .

Answers

Answer 1

The final expression for p includes the cosine terms and the constants 1250 and cos(35°).

To calculate the power (p) for the given values of v and i, we can use the formula:

p = v * i * cos(θ)

Where:

v is the voltage or potential difference in volts (V),

i is the current in amperes (A),

θ is the phase angle between v and i.

To find the power, we need to determine the phase angle (θ) between v and i. In this case, the phase angle is the difference between the angles in the cosine functions:

θ = (50° - 15°) = 35°

Substituting the given values into the power formula, we have:

p = (100cos(ωt + 50°)) * (25cos(ωt + 15°)) * cos(35°)

p = 2500cos(ωt + 50°)cos(ωt + 15°)cos(35°)

To simplify further, we can use the trigonometric identity:

cos(a)cos(b) = 0.5[cos(a - b) + cos(a + b)]

Applying this identity to the expression, we get:

p = 2500 * 0.5[cos((ωt + 50°) - (ωt + 15°)) + cos((ωt + 50°) + (ωt + 15°))] * cos(35°)

p = 1250[cos(35°) + cos(2ωt + 65°)] * cos(35°)

The final expression for p includes the cosine terms and the constants 1250 and cos(35°).

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Related Questions

A 1200 kg car collides with a 160 kg deer (don't worry, the deer survives and goes on to cause several more car crashes). The collision results in an acceleration ("deceleration") of 2.5 m/(sec)^2 for the car. Find the acceleration of the deer during the collision.

Answers

Answer:

18.75

Explanation:

p=mv, where p is momentum, m is mass, and v is velocity. For the car:

p=1200*2.5=3000

For the deer:

3000=160*v

v=18.75m/s

Hope this helps!

Do the data for the first part of the experiment support or
refute the first hypothesis? Be sure to explain your
answer and include how the variables changed in the
first part of the experiment.
Mechanical equivalent of heat

Answers

Answer:

Sample Response: The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

Explanation:

this the sample response from ED mechanical equivalent of heat lab.

Answer:

Sample response:

Explanation:

The data for the first part of the experiment support the first hypothesis. As the height of the cylinder increased, the temperature of the water increased. At a greater height, the cylinder has more gravitational potential energy. This gravitational potential energy was completely converted to thermal energy, which increased the temperature of the water.

Fatima is watching her pet cat, Winter, napping in the sun. Fatima is curious about the heart rate of Winter when she is napping, so she develops this scientific question: Does a cat’s heart rate change while it is napping

Answers

We have that for the question, Does a cat’s heart rate change while it is napping?

Cats heart rate do not increase while napping.

The range of heart beat of a cat is 140 and 220 bpm

From the Question we are asked

Does a cat’s heart rate change while it is napping.

The answer is NO

Cats heart rate do not increase while napping. Cat have a normal heart beat maximum of 220 beats per minute consistently.The range of heart beat of a cat is 140 and 220 bpm

Therefore

There is something with a cat with heart rate above this number.

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The frequency of the first harmonic in a pipe is measured. An adjustment [1 mark] is then made which causes the speed of sound in the pipe to increase. What is true for the frequency and the wavelength of the first harmonic when the speed of sound has increased? Frequency Wavelength А increase unchanged B unchanged increase C increase increase D unchanged unchanged

Answers

When the speed of sound in the pipe increases, the frequency and wavelength of the first harmonic will both increase. Therefore, the correct answer is C (increase, increase).

When an adjustment is made which causes the speed of sound in the pipe to increase, the frequency of the first harmonic also increases while the wavelength remains unchanged. This is because the frequency of a wave is directly proportional to its speed, and the wavelength is inversely proportional to its speed. Thus, when the speed of sound increases, the frequency of the first harmonic increases while the wavelength remains constant.

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A powerlifter deadlifts a 365 lb (167 kg) barbell to a height of 0. 85 m, and then lowers the bar, applying a constant upward force. The bar reaches the ground with a speed of 2 m/s. What was the work done by the powerlifter in lowering the bar to the ground (in J)

Answers

When the powerlifter deadlifts a  167 kg barbell to a height of 0. 85 m, the work done by the powerlifter is mathematically given as

W=-1057.11J

What was the work done by the powerlifter in lowering the bar to the ground?

Question Parameters:

A powerlifter deadlifts a 365 lb (167 kg) barbell to a height of 0. 85 m,

The bar reaches the ground with a speed of 2 m/s

Generally, the equation for the work done  is mathematically given as

W=0.5mvf^2+mghf)-(0.5mv1^2+mghi)

Therefore

W=0.5*16*167*2^2-(167*9.8*0.85)

W=-1057.11J

In conclusion, work done is

W=-1057.11J

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What produces electricity from a chemical reaction and cannot be run in reverse

Answers

Batteries are devices that use chemical reactions to produce electrical energy. These reactions occur because the products contain less potential energy in their bonds than the reactants.

When an engine works, energy is transferred from one form to another form in four stages. The energy wasted in each stage is 10%. Calculate the efficiency of the engine.


(I WILL GIVE BRAINLIEST PLS HELP)

Answers

The efficiency of the engine is 60%.

What is the efficiency of engine?

The efficiency of a heat engine describes the amount of input energy converted into useful work.

It also entails the amount of useful work done by the engine. The greater the amount of useful work done by the engine, the greater the efficiency of the engine.

The efficiency of an engine ranges from 0 to 100%.

If there four stages in the energy conversion cycle, and 10% energy is wasted in each cycle, the total energy wasted in the four cycles is calculated as;

Total wasted energy = 4 x 10% = 40%

Efficiency of the engine = Useful energy = 100% - 40% = 60%

Thus, the efficiency of the engine is the useful work done by the engine.

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shown is a 10 by 10 grid, with coordinate axes x and y

Answers

The coordinate axes are X and Y. The X-axis is the horizontal line that goes from left to right, while the Y-axis is the vertical line that goes from bottom to top.

The point where they intersect is known as the origin. Each point on the grid is identified by its coordinates, which are written in the order (x, y), with the x-coordinate representing the horizontal position and the y-coordinate representing the vertical position. The x-coordinate increases from left to right, and the y-coordinate increases from bottom to top. Therefore, the point in the bottom left corner would be (0, 0), and the point in the top right corner would be (10, 10).The grid is made up of 100 square cells that are all the same size. Each cell is assigned a unique pair of coordinates, and all points on the grid can be identified using these coordinates.

The grid is commonly used to represent data in various fields, including mathematics, science, and computer science.

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a highway patrol officer uses a device that measures the speed of vehicles by bouncing radar off them and measuring the doppler shift. the outgoing radar has a frequency of 97 ghz and the returning echo from a truck has a frequency 18.1 khz higher. how fast in km/h is the truck moving? note that there are two doppler shifts in echoes.

Answers

truck is moving at approximately 3369.48 kilometers per hour. Speed = (2 * frequency shift * speed of light) / (outgoing frequency + returning frequency)

The Doppler effect is the change in frequency of a wave due to the motion of the source relative to the observer.

where the speed of light is approximately 299,792,458 meters per second.

Plugging in the given values, we get:

Speed = (2 * 18,100 Hz * 299,792,458 m/s) / (97,000,000,000 Hz + 18,100,000 Hz)

Speed = (937,188 m/s)

Converting the speed from meters per second to kilometers per hour:

Speed = (937,188 m/s) * (3600 s/hr) / (1000 m/km)

Speed = 3369.48 km/hr

So the truck is moving at approximately 3369.48 kilometers per hour.

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suppose the distance from the lens system of the eye (cornea + lens) to the retina is 17 mm.

Answers

A) The power of the lens be when looking at distant objects is 58.823 D

B) The power of the lens be when looking at an object 20.0 cm from the eye is 63.823 D

According to the Dictionary of Ophthalmic Optics, the definition is stated thus: “The straight line measurement in millimeters (z axis) from the back or ocular surface vertex of a mounted spectacle lens to the apex of the cornea.” For a more practical definition, it is the straight line distance in millimeters from the back surface of any lens (mounted in spectacles or not) to the apex of the cornea.

(a) Power  1/p

      = 1/f

      = 1/ .017 m

      = 58.823 D

(b) 1/q + 1/p

    = (1/0.20 m) + (1/.017 m)

     = 63.823 D

The given question is incomplete, the complete question is

Suppose the distance from the lens system of the eye (cornea +lens) to the retina is 17 mm.

(a) What must the power of the lens be when looking at distant objects?

(b) What must the power of the lens be when looking at an object 20.0 cm from the eye?

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what hapens to vapor if placed at 0 kelvin

Answers

If a vapor is placed at 0 Kelvin (-273.15°C or -459.67°F), it would undergo a process called "absolute zero." At this temperature, all molecular motion stops completely, and the vapor would condense into a solid or a liquid, depending on its nature.

What is Evaporation?

Evaporation is a process by which a liquid is transformed into a gas or vapor. This occurs when the temperature of a liquid is increased to a point where its vapor pressure becomes equal to or greater than the atmospheric pressure surrounding the liquid.

During evaporation, the molecules at the surface of the liquid gain enough energy to break the intermolecular forces that bind them to the rest of the liquid and become a gas. This process occurs at the surface of the liquid and gradually depletes the liquid of its molecules.

The specific phase that the vapor would condense into would depend on its properties such as its temperature, pressure, and intermolecular forces. For example, a vapor of water would condense into ice if the pressure is high enough, while a vapor of helium would condense into a liquid.

It is worth noting that reaching absolute zero is not physically possible, as it would require the complete removal of all thermal energy from a system, which violates the third law of thermodynamics.

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How do you find the component form of the vector V when given two points in a graph?

Answers

The component form of the vector V when given two points in a graph is by getting the horizontal displacement between the initial and terminal points, and the vertical displacement between the initial and terminal points.

What is a Graph?

This is referred to the pictorial representation of data or variables in an organized manner.

The component form of a vector →v is written as →v=⟨vx,vy⟩

v → = ⟨ v x , v y ⟩ , where vx represents the horizontal displacement between the initial and terminal points, and vy represents the vertical displacement between the initial and terminal points.

On the graph, the points are located which represents the component form of the vector V  thereby making it the most appropriate choice.

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How many electrons or protons are found in: a). +1 C of charge? b). -1 C of charge? c. -1.6 x 10^-6 C of charge? a)

Answers

Answer:

50 charges

Explanation:

it will deduct and mutiple it self and divide

what property of matter changes depending on location?

Answers

Answer:

weight. The force with which an object near the Earth or another celestial body is attracted toward the center of the body by gravity. An object's weight depends on its mass and the strength of the gravitational pull.

Explanation:

This may be right i'm not 100%

A dog walks 8.0 meters due north and then 6.0 meters due east.







Determine the magnitude of the dog's total displacement to the nearest tenths place.

Answers

Answer:

10.0m

Explanation:

The displacement of the dog is the distance moved in a specified direction. It will be gotten using pythagoras theorem as shown;

d² = 8²+6²

d² =64+36

d² = 100

square root both sides

√d² = √100

d = 10m

Hence the displacement of the dog to the nearest tenth is 10.0m

A telephone pole casts a clear shadow in the light from a distant head lamp of a car, but no such effect is noticed for the sound from the car horn. why?

Answers

Answer:

A telephone pole casts a clear shadow in the light from a distant head lamp of a car, but no such effect is noticed for the sound from the car horn. Why? Answer: The sound and light both are waves. But the wavelength of sound waves is very large as compared to the wavelength of light waves.

Explanation:

if it helped you please mark me a brainliest :)))

A red bouncy ball is dropped from 10 meters high. As it fails a wind is blowing horizontal at the speed of 15 m/s. How far horizontally will the ball hit from the point at which it was dropped? Please round to 1 decimal place. You will enter in units of meters but NUMBER ONLY.

Answers

56 nicccccccccccccceeeeeeeeeee

The direction of the electric field at point b is closest to which direction? A. Right B. Up C. Left D. Down

Answers

The electric field will be along the left direction.

What is electric field?

An electric field is a region around the charge where its force of attraction or repulsion can be measured.

Given is the equipotential surface as shown in the image attached.

We know that electric field is the negative gradient of electric potential.

We can write -

E = - dV/dx

- dV = E dx

dV = - E dx

V = - ∫E dx

So, the electric field will be along the left direction.

Therefore, the electric field will be along the left direction.

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The direction of the electric field at point b is closest to which direction? A. Right B. Up C. Left

A baseball is thrown off a cliff that is 100 meters tall. The ball is thrown horizontally (forwards) with a velocity of 15 m/s. How long is the baseball in the air?

Answers

The time a baseball that is thrown horizontally with a velocity of 15 m/s off a cliff that is 100 meters tall will be in the air is 4.54 seconds.

What is velocity?

Velocity can be defined as the rate of change of the object's position with respect to a frame of reference and time.

If a baseball is thrown off a cliff that is 100 meters tall. The ball is thrown horizontally (forwards) with a velocity of 15 m/s. The baseball will be 4.54 seconds in the air.

From the equation, the given parameters are

height of cliff =  100 m

velocity = 15m/s

time = ?

g = acceleration due to gravity = 9.81 m/s²

we have that

S = u + 1/2gt²

100 = 5 + 1/2 * 9.8 * t²

100 - 5 = 4.9 * t²

95 /4.9 = t²

t = √20.65

t = 4.54 seconds.

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A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank

Answers

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

Work done calculation

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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I need help pls help I am struggling bad

I need help pls help I am struggling bad

Answers

Due to the battery's ability to transform chemical potential energy into electrical energy, the circuit is kept running. Because it transforms electrical energy into light and heat energy, the light bulb consumes power from the circuit.

What is the resistor value of brown black brown gold?

I = Req V = (24/5)24 = 5 A of current is being taken from the battery. Using Ohm's Law, V = IR, one may determine the current. In order to compute the current, one must first know the value of R. V is the battery voltage. As a result, a resistor's colour coding is brown, black, brown. 0 ohms, or 100 ohms, is the resistance value. calculating the values for the resistor colour code .

Taking a resistor as an example, the marks are as follows: Yellow Violet Red = 4 7 2 = 4 7 x 100 = 4700 or 4k7 Ohm. When calculating the resistor's percentage tolerance, the fourth and fifth bands are employed. P=2.25R/(R+0.5)2 P = 2.25 R / (R + 0.5) 2 watts are the units of power that a battery may supply to an instrument with resistance R (measured in ohms) (W).

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True or false: balanced forces are important for a hoverboard to float.
True
False

Answers

Answer:

True its got to be true

Explanation:

how else does a hoverboard float lol

Answer:

It's true

Explanation:

So true..

A 5,000 kg truck moving at 8 m/s has the same momentum as a 2,500 kg car. What is the velocity of the car?

Answers

Answer:

16 m/s.

Explanation:

The following data were obtained from the question:

Mass of truck = 5000 Kg

Velocity of truck = 8 m/s

Mass of car = 2500 kg

Velocity of car =..?

Next, we shall determine the momentum of the truck. This can be obtained as follow:

Mass of truck = 5000 Kg

Velocity of truck = 8 m/s

Momentum of truck =.?

Momentum = mass × velocity

Momentum = 5000 × 8

Momentum of the truck = 40000 Kg.m/s

Finally, we shall determine the velocity of the car as follow:

From the question given above, we were told that the car and truck has the same momentum.

This implies that:

Momentum of the truck = momentum of car = 40000 Kg.m/s

Thus, the velocity of the car can be obtained as shown below:

Mass of car = 2500 kg

Momentum of the car = 40000 Kg.m/s

Velocity of car =..?

Momentum = mass × velocity

40000 = 2500 × velocity

Divide both side by 2500

Velocity = 40000/2500

Velocity = 16 m/s

Therefore, the velocity of the car is 16 m/s.

at what speed do the two children toss the ball from the point of view of a spectator watching the float move by? express your answers in meters per second in ascending order separated by a comma.

Answers

From the point of view of a spectator, the two children tossing the ball from the float will appear to be moving at a slower speed than the float itself.

The speed of the float is usually around 10 meters per second, so the children will appear to be moving at about 7-8 meters per second. This is because the children are moving with the float, but their tossing the ball introduces an additional component of movement that the spectator will observe.

As the children toss the ball back and forth, their speed will appear to vary between 7-8 meters per second. Thus, the speed of the two children tossing the ball can be approximated to be 7, 8 meters per second.

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Light from two closely-spaced stars cannot produce a steady interference pattern due to
A) the inherent instability of the atmosphere.
B) closely spaced stars not producing interference patterns.
C) their different radial distances.
D) incoherence.
E) their non-point like natures.

Answers

Light from two closely-spaced stars cannot produce a steady interference pattern due to incoherence.

Hence, the correct option is D.

When light from two closely-spaced stars interferes, it can produce an interference pattern under certain conditions. However, if the light from the stars is incoherent, meaning that the phase relationship between the waves is not well-defined or constant, a steady interference pattern cannot be observed.

Incoherence can arise due to various factors, such as differences in the wavelengths emitted by the stars, fluctuations in the intensity or phase of the light, or the presence of multiple sources emitting light simultaneously. These factors disrupt the necessary conditions for constructive and destructive interference to occur consistently, resulting in an inability to observe a steady interference pattern.

Therefore, Light from two closely-spaced stars cannot produce a steady interference pattern due to incoherence.

Hence, the correct option is D.

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Write about a time when you felt very cold and did something to make yourself feel warm, or a time when you felt hot and did something to cool yourself down. What caused the heat to transfer from one place to another place? How did this transfer of heat cause a change in temperature?

Answers

Answer:

544

Explanation:

1. How much heat must be absorbed by 375 grams of water to raise its
temperature by 25° C?(Cp of water is 4.184)

Answers

Answer:

39225J

Explanation:

Given parameters:

Mass of water  = 375grams of water

Change in temperature  = 25°C

Specific heat capacity of water  = 4.184J/g°C

Unknown:

Amount of heat absorbed  = ?

Solution:

To solve this problem, we use the expression below:

      H  = m c Ф  

H is the heat absorbed

m is the mass

c is the specific heat capacity

Ф is the change in temperature

  Insert the parameters and solve;

      H  = 375 x 4.184 x (25) = 39225J

a biophysics experiment uses a very sensitive magnetic-field probe to determine the current associated with a nerve impulse travelling along an axon. if the peak field strength 2 mm from an axon is 6 pt, what is the peak current carried by the axon?

Answers

A biophysics experiment uses a very sensitive magnetic-field probe to determine the current associated with a nerve impulse travelling along an axon. if the peak field strength 2 mm from an axon is 6 pt, the peak current carried by the axon is 0.03 A.

The relationship between magnetic field strength and current can be described by the following equation:

B = (μ0/4π) * (2I/r)

where B is the magnetic field strength, μ0 is the permeability of free space, I is the current, and r is the distance from the current.

Solving for I, we get:

I = (B * 4π * r) / (2 * μ0)

Substituting the given values, we have:

I = (6 pt * 4π * 2 mm) / (2 * μ0)

Using the value of μ0 (permeability of free space) as 4π * 10^-7 T·m/A, we get:

I = (6 pt * 4π * 2 mm) / (2 * 4π * 10^-7 T·m/A)

I = 0.03 A

Therefore, the peak current carried by the axon is 0.03 A.

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Lora (of mass 47.4 kg) is an expert skier. She
starts at 3.2 m/s at the top of the lynx run,
which is 107 m above the bottom.
What is her final kinetic energy at the bottom of the ski run?

Answers

Answer:

Kinetic energy is 242.7 Joule

Explanation:

m = 47.4 kg

v = 3.2m/s²

Now,

K.E. = 1/2 × m × v²

or, K.E. = 1/2 × 47.4 × 3.2²

or, K.E. = 242.7 Joule

The plate near the Artic Ridge is among those with the slower growth rates, moving slightly less than 2.5 cm/year. How much will the plate move in 10 years?

Answers

not sure i’m so sorry !!

Answer:

B

Explanation:

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