PLEASE HELP :/
george walks to a friend's house. he walks 750 meters north, then realizes he walked too far he turns and walks 250 meters south. the entire walk takes him 50 seconds whats his distance and displacement?​

The frequency domain graph of the periodic composite signal consists of two peaks, one at 100 Hz with an amplitude of 20 V and another at an unknown frequency with an amplitude of 5 V.

In the frequency domain, the composite signal can be represented by a graph showing the amplitude of each frequency component present in the signal. In this case, the signal is composed of two sine waves. The first sine wave has a frequency of 100 Hz and a maximum amplitude of 20 V. This means that in the frequency domain graph, there will be a peak at 100 Hz with an amplitude of 20 V.

The second sine wave's frequency is not given, but we know that it has a maximum amplitude of 5 V. Therefore, there will be another peak in the frequency domain graph at an unknown frequency with an amplitude of 5 V.

Since the bandwidth of the composite signal is 2000 Hz, the frequency domain graph will span a range of frequencies from 0 Hz to 2000 Hz. Apart from the two peaks mentioned above, there will be no other significant frequency components in the graph.

To summarize, the frequency domain graph of the periodic composite signal will have two peaks—one at 100 Hz with an amplitude of 20 V, and another at an unknown frequency with an amplitude of 5 V.

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Two ways to change the strength of a magnetic field created by an electromagnet are by changing the current or by changing the number of coils in the electromagnet.

Increasing the current flowing through the wire coils of the electromagnet will increase the magnetic field strength. Similarly, increasing the number of coils will also increase the magnetic field strength, as more wire will be wrapped around the core of the electromagnet, increasing the number of magnetic fields produced.

On the other hand, decreasing the current or reducing the number of coils will result in a weaker magnetic field. It's important to note that the strength of a magnetic field is directly proportional to the current flowing through the wire and the number of coils. Therefore, increasing or decreasing either of these factors will directly affect the strength of the magnetic field produced.

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660 newtons

830 newtons

no

additional force would be 350 newtons

Answer:

Time

Explanation:

The total amount of energy transferred by an appliance depends on power and time.

Power is rate of  doing work or rate of consumption of energy .It's unit is watt.

So p = E/t

Where, P = Power

E = Energy consumed

t = time taken

so , E = p x t

Hence energy  transferred depends on power and time . The unit of electrical energy consumed is  watt-second or joules. It's commercial unit is kWh(kilowatt-hours). The less the time taken by an appliance to do the work , the more is the power of the appliance

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The true of an image produced by this mirror will be 2.5 times smaller and virtual. Option C is correct.

When light beams from an object reflect off a mirror, they intersect with the picture of that thing called an image. Real and virtual images are the two sorts of images.

The ratio of xi to xo for a certain mirror is 2.5;

\(\rm \frac{x_i}{x_0} =2.5 \\\ x_i=2.5 x_0\)

Where,

\(\rm x_0\) is the true of an image produced by this mirror.

The true of an image produced by this mirror will be 2.5 times smaller and virtual.

Hence,option C is correct.

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We want to compare the gravitational acceleration of different planets by using the given table. The correct option is the last one, so we have:

Planet Y, planet W, planet Z, planet X.

First, we know that the velocity equation is written as:

V(t) = a*t + v₀

Where a is the acceleration and v₀ is the initial velocity.

With this equation, we can find the acceleration in each planet.

Planet W

The initial velocity is v₀ = -3m/s

V(t) = a*t - 3m/s

And we know that at t = 2s, the velocity is -22m/s.

v(2s) = -22m/s = a*2s - 3m/s

           -22m/s + 3m/s = a*2s

           -19 m/s = a*2s

           (-19 m/s)/2s = a = -9.5m/s^2

Now we just do the same thing for each planet.

Planet X:

v₀ = -0.5 m/s

v(1s) = -4.2 m/s = a*1s - 0.5 m/s

          -4.2 m/s + 0.5 m/s = a*1s

          -3.8 m/s^2 = a

Planet Y:

v₀ = 0 m/s

v(2s) = -21 m/s = a*2s

           (-21 m/s)/2s = a = -10.5 m/s^2

Planet Z:

v₀ = 0 m/s

v(1s) = -8 m/s = a*1s

          (-8 m/s)/1s = a = -8m/s^2

Then the order from greatest to least is:

Y, W, Z, X

So the correct option is the last one.

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The total electromagnetic energy that falls on the rectangular area during 1.0 minute is approximately 3.54 × 10⁴ J.

To calculate the total electromagnetic energy that falls on the rectangular area, we need to find the energy flux density (S) incident on the area and then multiply it by the area and time.

Given that the magnitude of the Poynting vector (S) is 0.939 W/m², we know that S = c * ε₀ * E₀², where c is the speed of light, ε₀ is the vacuum permittivity, and E₀ is the electric field amplitude.

Since the wave is incident at right angles to the rectangular area, the energy flux density incident on the area is equal to the magnitude of the Poynting vector. Therefore, S = 0.939 W/m².

The electric field amplitude (E₀) can be found by rearranging the equation S = c * ε₀ * E₀² and solving for E₀.

E₀ = √(S / (c * ε₀))

E₀ = √(0.939 W/m² / (3.0 × 10⁸ m/s * 8.85 × 10⁻¹² C²/N * m²))

Substituting the given values, we can calculate E₀:

E₀ ≈ 1.82 × 10⁻⁵ V/m

Now, we can calculate the total electromagnetic energy (W) incident on the area by multiplying the energy flux density (S) by the area (A = length × width) and the time (t):

W = S * A * t

W = 0.939 W/m² * 1.5 m * 2.0 m * 60 s

Calculating this expression gives us:

W ≈ 3.54 × 10⁴ J

Therefore, the total electromagnetic energy that falls on the rectangular area during 1.0 minute is approximately 3.54 × 10⁴ J.

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If you press on the plunger, you increase the pressure of the air, and thus the air in the small syringe escapes out, and hens the large syringe gets expanded.

Also the colored water gets filled inside the larger syringe.

The following situation is impossible because it violates the second law of thermodynamics. When two samples of water at different temperatures are mixed in an insulated container, the entropy of the Universe will always increase.

Entropy is a measure of disorder or randomness in a system. The higher the entropy, the greater the disorder.

The mixing of water at different temperatures results in a decrease in the entropy of the system.

The colder water will absorb heat from the warmer water, and the temperature of both will eventually equilibrate. This process will result in an increase in the entropy of the water system, but a decrease in the entropy of the Universe.

The second law of thermodynamics states that the entropy of the Universe must always increase or remain constant for any spontaneous process.

Since the mixing of water at different temperatures results in a decrease in the entropy of the Universe, it is an impossible process, as it violates the second law of thermodynamics.

Therefore, the entropy change of the Universe is not zero but rather negative for this process.

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The situation described, where two samples of water at different temperatures are mixed inside an insulated container, does not result in a zero entropy change for the Universe. Despite the equal exchange of heat energy between the samples, the mixing process itself increases the overall entropy.

This is due to the fact that the cooler water absorbs heat from the warmer water, and as a result, the system reaches a state of thermal equilibrium where the temperatures become more evenly distributed. This mixing process corresponds to an increase in entropy, leading to a nonzero entropy change for the Universe. The entropy change of the Universe is determined by the combined entropy changes of the system and its surroundings. In this scenario, the system consists of the two samples of water, and the surroundings include the insulated container. The mixing of the water samples allows heat transfer between them until they reach a state of thermal equilibrium.

According to the second law of thermodynamics, when heat flows from a higher temperature to a lower temperature, entropy tends to increase. In this case, the cooler water absorbs heat from the warmer water, resulting in a decrease in temperature for the warmer water and an increase in temperature for the cooler water. This process leads to a more uniform temperature distribution throughout the system.

Since entropy is related to the degree of disorder or randomness in a system, the mixing of the water samples increases the overall disorder and randomness by redistributing the heat energy. As a consequence, the entropy of the system increases, and thus, the entropy change of the Universe is nonzero. The equal exchange of heat energy between the water samples does not negate the increase in entropy caused by the mixing process itself.

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Answer:

A remote-controlled, pilot-operated _Relief__ valve is type of pilot-operated relief valve that uses one or more external pilot valves to set the pressure at which the relief valve will open.

After transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

A position vector is a vector that is used to represent the position of a point in the coordinate system.

Given are the polar coordinates of three points in two dimensional coordinate system.

In order to convert the polar coordinate (r, θ) into cartesian coordinates

(x, y) use the following relations -

x = r × cosθ

y = r × sinθ

a) → r = 12.4 m , θ = 170°

x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21

y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15

In cartesian form → ( -12.21 i + 2.15 j )

b) → r = 4 cm , θ = 50°

x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57

y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06

In cartesian form → ( 2.57 i + 3.06 j )

c) → r = 20 inches , θ = 210°

x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32

y = 20 x sin (210°) = 20 x -0.5= -10

In cartesian form → ( -17.32 i - 10 j )

Therefore, after transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

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Explanation:

Underneath the blade of skates, there is a thin layer of water from the melted ice. ... This water then acts as a lubricant (something whose purpose is decreasing friction), resulting in a smooth motion of the skates over the ice.

Answer:

\({FY} = \dfrac{3}{4} \times FX\)

Explanation:

The parameters given for the planets are;

The mass of planet X = M and the radius of planet X = R

The mass of planet Y = 3·M and the radius of planet Y = 3·R

The magnitude of the gravitational force of the planets on their satellites are given by the following equation;

\(F=G \times \dfrac{M_{1} \cdot m_{2}}{R^{2}}\)

Where;

M₁ = The mass of the first object = The mass of the planet

m₂ = The mass of the second object = The mass of the satellite

R = The distance between the centers of the two planets = The distance between the center of the planet and the satellite

G = The universal gravitational constant

The force between planet X and the satellite in its orbit = \(FX=G \times \dfrac{M \times m}{(2 \cdot R)^{2}} = G \times \dfrac{M \times m}{4 \cdot R^{2}}\)

The force between planet Y and the satellite in its orbit = \(FY=G \times \dfrac{3\cdot M \times m}{(4 \cdot R)^{2}} = G \times \dfrac{3\cdot M \times m}{16 \cdot R^{2}} = G \times \dfrac{ 3\cdot M \cdot m}{16 \cdot R^{2}}\)

Therefore;

\(\dfrac{FY}{FX} = \dfrac{G \times \dfrac{ 3\cdot M \cdot m}{16 \cdot R^{2}}}{G \times \dfrac{M \times m}{4 \cdot R^{2}}} = \dfrac{3}{16} \times \dfrac{4}{1} = \dfrac{3}{4}\)

\({FY} = \dfrac{3}{4} \times FX\)

Answer:

Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder. The same amount of energy is spread over a greater area, so the intensity and loudness of the sound is less.

Explanation:

Answer:

a b c

Explanation:

b. It consists of shared electrons

c. It conducts electric current in water solution

d. It consists of two non-metals

Ionic compounds are neutral compounds made up of positively charged ions called cations and negatively charged ions called anions.

For binary ionic compounds (ionic compounds that contain only two types of elements), the compounds are named by writing the name of the cation first followed by the name of the anion.

The properties of ionic compound are:

Therefore,

b, c, d are the correct answer.

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Heat transfer describes the flow of heat (thermal energy) due to temperature differences and the subsequent temperature distribution and changes.

The study of transport phenomena concerns the exchange of momentum, energy, and mass in the form of conduction, convection, and radiation. These processes can be described via mathematical formulas.

The fundamentals for these formulas are found in the laws for conservation of momentum, energy, and mass in combination with constitutive laws, relations that describe not only the conservation but also the flux of quantities involved in these phenomena.

For that purpose, differential equations are used to describe the mentioned laws and constitutive relations in the best way possible.

Therefore, Heat transfer describes the flow of heat (thermal energy) due to temperature differences and the subsequent temperature distribution and changes.

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The incorrect option about the student's claim is option B which is his

claim about alternating current being correct.

This is the type of electron flow which involves a periodic reversal in

direction and changes in magnitude in the circuit.

In a circiuit electrons from the negative terminal to the positive one and

his claim mis correct about direct current which makes his claim wrong.

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When facing a wind blowing from the west to the east, an airplane intending to fly directly north should be pointed slightly to the west of north. This compensates for the crosswind force and allows the aircraft to maintain its desired northward heading.

If an airplane needs to fly to a point directly north of its location and there is a wind blowing from the west to the east, the pilot should point the plane slightly to the west of north. This adjustment is necessary due to the effect of the wind on the airplane's path.

The wind creates a force known as the crosswind, which acts perpendicular to the direction of the airplane's intended path. In this case, the crosswind pushes the airplane to the east. To counteract this force and maintain a northward trajectory, the pilot must point the plane slightly to the west.

By pointing the plane to the west, the pilot allows the wind to push the aircraft sideways, compensating for the eastward force caused by the wind. This technique is known as "crabbing" or "yawing into the wind." It ensures that the airplane's actual flight path remains aligned with the intended northward direction.

The amount of adjustment required depends on the strength and direction of the wind. Pilots use their training and experience, along with information from weather reports and aircraft instruments, to determine the appropriate angle to point the plane relative to the wind.

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Answer:

C is the correct answer of this question.

1.30 increases the force you exert on the rope to cause the speed to increase by a factor of 1.70.

What is force?

Force is a push or pull upon an object resulting from the object's interaction with another object. Every force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

The relationship between the force applied to a rope, its mass, and the resulting acceleration is described by Newton's second law of motion.

F = m * a.

If we have an initial force F1 that causes an object of mass m to have an initial acceleration a1, and we increase the force to F2, the new acceleration will be a2. We can use this equation to find the factor by which we need to increase the force in order to cause the speed to increase by a factor of 1.70.

F2 = m * a2

F2 = m * a1 * √(1.70)

F2 = F1 * √(1.70)

So, to increase the speed by a factor of 1.70, you must increase the force you exert on the rope by the square root of 1.70, or about 1.30.

Therefore, 1.30 increases the force you exert on the rope.

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The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.

The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.

Given the horsepower of the DC motor = 10 hp

Conver the hp into watt:

1hp = 745.7 W

Output power = 10 hp = 10× 745.7 = 7457 W

Input power = 31 × 300 = 9300 W

The efficiency of the motor = Output/Input ×100

Efficiency = (7457/9300) ×100 = 80 %

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The type of objects occur in the halo of our Milky Way galaxy are Globular clusters. Correct option is C.

Globular groups, sub-dwarf stars, and RR Lyrae stars with little metal are all found in the stellar halo of the Milky Way. The majority of the stars in our stellar halo are older (more than 12 billion years old) and less metallic than disc stars, but some halo star groups have metal contents that are comparable to disc stars.

Very few, dispersed stars and globular groups reside in the halo. In spiral galaxies, dark matter also resides in the fringe.

The visible part of what is more generally referred to as the galactic halo is the stellar corona of the Milky Way. Dark matter dominates this galactic halo, and the gravity it produces is the only way to detect its existence. Each galaxy has a unique dark matter ring. And the correct option is C.

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The famous scientist who hypothesized that the wavelength of a photon is inversely proportional to its energy was Albert Einstein. This concept is known as the photoelectric effect and is one of the fundamental principles of quantum mechanics.

Einstein's hypothesis revolutionized our understanding of light and how it laid the foundation for many modern technologies, such as solar cells and photoelectric sensors.

Albert Einstein is the famous scientist who hypothesized that the wavelength of a photon is inversely proportional to its energy. This concept is a part of the photoelectric effect, which earned him the Nobel Prize in Physics in year 1921.

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The longest rotation period of the wheel that will prevent the riders from falling off at the top is determined by the formula Fc = Fg, where Fc is the centripetal force and Fg is the force of gravity.

First, we need to determine the centripetal force (Fc) using the formula Fc = mv^2/r, where m is the mass of the rider, v is the velocity of the wheel, and r is the radius of the wheel.

Next, we need to determine the force of gravity (Fg) using the formula Fg = mg, where m is the mass of the rider and g is the acceleration due to gravity.

Once we have determined both Fc and Fg, we can set them equal to each other and solve for the velocity (v) of the wheel.

Fc = Fg
mv^2/r = mg
v^2 = rg
v = sqrt(rg)

Finally, we can use the formula T = 2πr/v to determine the longest rotation period (T) of the wheel, where r is the radius of the wheel and v is the velocity of the wheel.

T = 2πr/sqrt(rg)

Therefore, the longest rotation period of the wheel that will prevent the riders from falling off at the top is T = 2πr/sqrt(rg).

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Pocock's critical values obtained in Question 2.0 and Question 2.1 indicate that as the number of peeks (interim tests) increases, the critical values also increase as with the iincrease in peeks the likelihood of detecting significant differences by chance also increases

Sequential testing is a statistical method of testing where tests are carried out after an initial test. The tests are typically applied until the parameter of interest in the test is either accepted or rejected.

Peeks are interim analyses carried out when using sequential analysis. This kind of analysis is typically used in clinical trials to make interim evaluations in order to determine whether a particular drug or intervention is worth continuing.

Critical values, on the other hand, are values that define the extreme values of a function or distribution. They are used to establish whether a specific result is statistically significant or not.

Pocock's critical value, or alpha spending function, is a widely used method for multiple testing correction. When an experimenter is performing numerous statistical analyses, the alpha spending function is used to determine the probability that any of these tests will yield a significant result as a result of chance alone. As a result, the alpha spending function can assist you in reducing the risk of false positives or Type I errors.

The Pocock's critical values obtained in Question 2.0 and Question 2.1 shows that as the number of peeks (interim tests) increases, the critical values also increase. This is because, as the number of peeks or tests increase, the likelihood of detecting significant differences by chance also increases. In order to maintain the risk of Type I error at an acceptable level, the critical value is raised as a compensatory measure.

Thus, the correct answer is explained above.

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The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k.

It is used in life-science laboratories in applications in which lower energy beta emissions are advantageous such as DNA sequencing. P can be used to label nucleotides. It is less energetic than 32P, giving a better resolution.

Phosphorus 33 is an artificial radioactive element. It is produced with a low yield by the neutron bombardment of phosphorus 31 (stable). The phosphorus 33 has a radioactive period of 25.3 days.

Phosphorus-33 atom is the radioactive isotope of phosphorus with relative atomic mass 32.971725, half-life of 25.34 days and nuclear spin (1)/2.

Phosphorus was discovered by the German merchant Hennig Brand in 1669.

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Light that is 10 w/m^2 in intensity and vertically polarized flows through a polarizer whose transmission axis is at a 15 degree angle with the vertical .Then the intensity of the transmitted light is 9.3 W/m^2.

After passing through a polarizing filter, the intensity of polarized light I is calculated as I = Io cos2, where Io is the initial intensity and is the angle formed by the filter's axis and the direction of polarization.

As is well known, the following equation can be used to determine the strength of transmitted light:

I = Iocos^2(θ),

where I denotes the amount of light being transmitted,

Io is the incoming light's intensity.

Given -

light input power intensity Io= 10 w/m^2

Per-square-meter power

α-15 degrees

In the equation above, by substituting the supplied numbers, we obtain -

I = Iocos^2(θ),

I= 10*cos^2(15)

I= 9.3 w/m^2

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Answer:

the final statements the correct one is. The second

The iron piece exerts a force of 1 N on the magnet in the opposite direction

Explanation:

In this exercise they give us the force exerted by a magnet on an iron bar and ask us the force that the iron bar exerts on the magnet. We can see that these are action and reaction forces, which by Newton's third law must be of equal magnitude and opposite direction, each applied to one of the bodies.

the final statements the correct one is. The second

The iron piece exerts a force of 1 N on the magnet in the opposite direction

Answer:

because only two electrons can fit in the first orbit around the nucleus, and each period on the table is organized by number of orbits

There are only two elements in the first period of the periodic table (statement 4) because only two electrons can fit in the first orbit around the nucleus, and each period on the table is organized by the number of orbits

A period is defined as an interval  required for a cycle to repeat itself.

Period 1 has only two elements (hydrogen and helium) as they have electrons in only the 1st energy level or first orbit and each period on the table is organized by the number of orbits or level of energy.

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Answer:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

​

=

v

1

​

+

u

1

​

−20

1

​

=

v

1

​

−

25

1

​

⇒

v

1

​

=−

20

1

​

+

25

1

​

v=100cm

The image will be real, inverted magnified

Explanation:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

​

=

v

1

​

+

u

1

​

−20

1

​

=

v

1

​

−

25

1

​

⇒

v

1

​

=−

20

1

​

+

25

1

​

v=100cm

The image will be real, inverted magnified