a toroidal inductor with an inductance of 91.0 mh encloses a volume of 0.0200 m3. if the average energy density in the toroid is 55.0 j/m3, what is the current through the inductor?

The chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level of measurement.

In statistics, the level of measurement refers to the nature and properties of the data being collected. There are four levels of measurement: nominal, ordinal, interval, and ratio. Nominal and ordinal levels are considered categorical, while interval and ratio levels are considered numerical. The chi-square test is specifically designed for analyzing categorical data, where the observations can be classified into distinct categories or groups. It is used to determine whether there is a significant association or relationship between two categorical variables.

The test calculates the difference between the observed frequencies and the expected frequencies under the assumption of independence between the variables. It compares the observed and expected frequencies using a chi-square statistic and determines the p-value to assess the statistical significance of the association. Therefore, the chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level because it deals with categorical data and evaluates the relationship between different categories or groups.

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When a wire is stretched to twice its initial length, its resistance increases by a factor of 4.

The resistance of a wire is directly proportional to its length, and inversely proportional to its cross-sectional area. When a wire is stretched to twice its initial length, its cross-sectional area is reduced to one-fourth of its original value. Therefore, the resistance of the wire increases by a factor of 4 (i.e., 2²). This can be seen from the equation R = (ρL)/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area. When the length of the wire is doubled, the resistance becomes twice its original value. However, the reduction in the cross-sectional area also contributes to an increase in resistance, making it four times the original value.

In conclusion, when a wire is stretched to twice its initial length, its resistance increases by a factor of 4 due to the reduction in its cross-sectional area.

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Answer:

Explanation:

g means gravitation

G is universal gravitational constant

M = mass of the earth

R = radius of the earth

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Answer: 160 km

Explanation:

The circuit element with the greatest voltage drop is R3 (resistor 3).

To determine the voltage drop across each resistor, we can use Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

First, we can find the total resistance of the circuit by adding the resistances of all three resistors:

R_total = R1 + R2 + R3

R_total = 10 + 20 + 30

R_total = 60 ohms

Next, we can find the total current flowing through the circuit by using Ohm's Law again, but this time solving for I:

I = V / R_total

I = 12 / 60

I = 0.2 amps

Now, we can find the voltage drop across each resistor by multiplying its resistance by the total current:

V_R1 = R1 * I

V_R1 = 10 * 0.2

V_R1 = 2 volts

V_R2 = R2 * I

V_R2 = 20 * 0.2

V_R2 = 4 volts

V_R3 = R3 * I

V_R3 = 30 * 0.2

V_R3 = 6 volts

Therefore, the circuit element with the greatest voltage drop is R3 (resistor 3), which has a voltage drop of 6 volts.

The voltage drop across each resistor in a circuit is proportional to its resistance. In this circuit, R3 has the greatest resistance and therefore has the greatest voltage drop.

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Answer:

it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

Explanation:

To find out how much heat is needed to heat 2 kg of lead from 265K to 315 K, we can use the formula for specific heat capacity, which is:

q = mcΔT

Where:

q = heat energy (in joules)

m = mass of the substance (in kilograms)

c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)

ΔT = change in temperature (in degrees Celsius)

The specific heat capacity of lead is 0.128 J/g°C. we need to convert it to J/kg°C

So, the heat energy needed is:

q = (2 kg)(0.128 J/kg°C)(315 K - 265 K)

q = (2 kg)(0.128 J/kg°C)(50 K)

q = 64 J

Therefore, it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

To keep the leg in the raised position, the tendon should provide 160N force.

The rotating force or moment of a force around a particular axis or pivot point is measured by torque. The tendency of a force to cause an object to spin along an axis is described as a vector quantity, torque.

Given: combined mass of the lower leg and the foot, m = 3.6kg

position of the center of gravity, r1 = 25cm

r = 0.25m

distance between tendon and lower leg, r2 = 5cm = 0.05m

torque applied will be τ = 3.6 × 10 × 0.25

τ = 8 N-m

the force applied by tendon

F = τ/ r2

F = 8/ 0.05

F = 160N

Therefore, To keep the leg in the raised position, the tendon should provide 160N force.

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Answer:

对不起，我不知道对不起

Explenation:

The net force acting on the body is 45 N

Force is a vector, vectors are quantities that have both magnitude and direction. We must take the direction of the vector into account when computing the net force.

Since the two forces act in opposite directions, the net force is; 55 N - 10 N = 45 N.

The direction of this force is towards the 55 N force which is the larger force.

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The magnitude of electrical force on charge \(q_{3}\) due to the others is 0.102 newtons.

The vector position of each particle respect to origin are described below:

\(\vec r_{1} = (-0.500, 0)\,[m]\)

\(\vec r_{2} = (+0.500, 0)\,[m]\)

\(\vec r_{3} = (0, +0.500)\,[m]\)

Then, distances of the former two particles particles respect to the latter one are found now:

\(\vec r_{13} = (+0.500, +0.500)\,[m]\)

\(r_{13} = \sqrt{\vec r_{13}\,\bullet\,\vec r_{13}} = \sqrt{(0.500\,m)^{2}+(0.500\,m)^{2}}\)

\(r_{13} =\frac{\sqrt{2}}{2}\,m\)

\(\vec r_{23} = (-0.500, +0.500)\,[m]\)

\(r_{23} = \sqrt{\vec r_{23}\,\bullet \,\vec r_{23}} = \sqrt{(-0.500\,m)^{2}+(0.500\,m)^{2}}\)

\(r_{23} =\frac{\sqrt{2}}{2}\,m\)

The resultant force is found by Coulomb's law and principle of superposition:

\(\vec R = \vec F_{13}+\vec F_{23}\) (1)

Please notice that particles with charges of same sign attract each other and particles with charges of opposite sign repeal each other.

\(\vec R = \frac{k\cdot q_{1}\cdot q_{3}}{r_{13}^{2}}\cdot \vec u_{13} +\frac{k\cdot q_{2}\cdot q_{3}}{r_{23}^{2}}\cdot \vec u_{23}\) (2)

Where:

If we know that \(k = 8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}\), \(q_{1} = 2\times 10^{-6}\,C\), \(q_{2} = 2\times 10^{-6}\,C\), \(q_{3} = 2\times 10^{-6}\,C\), \(r_{13} =\frac{\sqrt{2}}{2}\,m\), \(r_{23} =\frac{\sqrt{2}}{2}\,m\), \(\vec u_{13} = \left(-\frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2} \right)\) and \(\vec u_{23} = \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\), then the vector force on charge \(q_{3}\) is:

\(\vec R = \frac{\left(8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (2\times 10^{-6}\,C)\cdot (2\times 10^{-6}\,C)}{\left(\frac{\sqrt{2}}{2}\,m \right)^{2}} \cdot \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) + \frac{\left(8.988\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (2\times 10^{-6}\,C)\cdot (2\times 10^{-6}\,C)}{\left(\frac{\sqrt{2}}{2}\,m \right)^{2}} \cdot \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\)

\(\vec R = 0.072\cdot \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) + 0.072\cdot \left(\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right)\,[N]\)

\(\vec R = 0.072\cdot \left(0, -\sqrt{2}\right)\,[N]\)

And the magnitude of the electrical force on charge \(q_{3}\) (\(R\)), in newtons, due to the others is found by Pythagorean theorem:

\(R = 0.102\,N\)

The magnitude of electrical force on charge \(q_{3}\) due to the others is 0.102 newtons. \(\blacksquare\)

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Answer:

once the parachute is opened, the air resistance overwhelms the downward force of gravity. The net force and the acceleration on the falling skydiver is upward. ... The skydiver thus slows down. As the speed decreases, the amount of air resistance also decreases until once more the skydiver reaches a terminal velocity.

Explanation:

As the parachute is opened the air and due to the downward force of gravity the resource is upwards hence the skydiver falls slowly.

A parachutist is one who uses a parachute when making a skydive. Once the parachute is opened the air offers some resistance and due to the downward force of gravity.

The net force and force of acceleration are on the skydiver and a, as a result, he falls slowly. As the speed gets decreased the amount of air resistance will also decrease.

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Answer:

P = 1600 W

Explanation:

The weight of the buggy on Mars is 40 N.

It landed on area of 0.025 m^2.

Pressure is given as force per unit area:

P = F / A

where F = force

A = area

Weight is a force, therefore, the pressure exerted by the buggy on that surface of Mars is:

P = 40 / 0.025

P = 1600 W

Answer:

South

Explanation:

I guessed and got it right

Answer:

Workdone is 5734.06Nm.

Explanation:

Given the following data;

Force applied = 125N

Angle = 35°

Distance = 56m

To find the workdone by the lawnmower, we would first of all find the horizontal component of the force applied.

\( Horizontal force, Fx = mgCosd\)

Where;

mg = weight = 125N

Substituting into the equation, we have;

\( Fx = 125 * Cos35\)

\( Fx = 125 * 0.8192\)

Fx = 102.39N

Workdone is given by the formula;

\( Workdone = force * distance\)

\( Workdone = 102.39 * 56\)

Workdone = 5734.06Nm

Therefore, the work done by the lawnmower is 5734.06Nm.

By exerting a force of 480 N on an area of 0.75 mm^2, you can create a pressure of 640,000,000 pascals (Pa).

To calculate the pressure created, we can use the formula:

Pressure = Force / Area

First, we need to convert the area from mm^2 to m^2. Since 1 mm = 0.001 m, the area is \(0.75 mm^2 * (0.001 m / 1 mm)^2 = 0.75 * 10^{-6} m^2.\)

Next, we can plug the values into the formula:

Pressure = \(480 N / 0.75 * 10^{-6} m^2\)

Simplifying this expression, we get:

Pressure = 640,000,000 N/m^2

This is the same as 640,000,000 pascals (Pa).

Therefore, by exerting a force of 480 N on an area of 0.75 mm^2, you can create a pressure of 640,000,000 pascals (Pa).

Please note that pressure is defined as force per unit area. In this case, a relatively small force applied over a small area results in a large pressure value. It's important to consider the relationship between force, area, and pressure when dealing with similar problems.

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A radio wave travels at the speed of light, which is equal to approximately 300,000 km/s.

So, to travel a distance of 998.25 km, the time needed is:

Therefore the time required is approximately 3327.5 microseconds.

Answer:

4. Glycolysis

Explanation:

Cellular respiration can be defined as a series of metabolic reactions that typically occur in cells so as to produce energy in the form of adenosine triphosphate (ATP). During cellular respiration, high energy intermediates are created that can then be oxidized to make adenosine triphosphate (ATP). Therefore, the intermediary products are produced at the glycolysis and citric acid cycle stage.

Hence, the name of the process whose main purpose is to use energy released and stored during the Krebs cycle to form ATP is glycolysis.

Additionally, mitochondria provides all the energy required in the cell by transforming energy forms through series of chemical reactions; breaking down of glucose into Adenosine Triphosphate (ATP) used for providing energy for cellular activities in the body of living organisms.

Basically, oxygen goes into the body of a living organism such as plants, humans and animals when they breathe while glucose is absorbed by the body when they eat.

Answer:

the Krebs cycle

The capacitance of a parallel-plate capacitor is proportional to the area of the plates and inversely proportional to the distance between the plates. It is also proportional to the dielectric constant.

Distance is an amount of space between two points or objects. It is measured in units such as miles, kilometers, centimeters, and so on. Distance can refer to the physical separation between two places, or it can refer to the amount of time it takes to get from one place to another. It can also refer to the amount of effort needed to get from one place to another. Distance can also be used to measure the difference between two objects or events. Distance is a key concept in understanding the physical universe, as it can be used to measure the size, shape, and movement of objects.

Capacitor B has the highest capacitance because it has the largest area of the plates, the smallest distance between the plates, and the highest dielectric constant. Capacitor A has the second highest capacitance because it has the second highest area of the plates, the same distance between the plates, and a higher dielectric constant than Capacitor C.

Capacitor B > Capacitor A > Capacitor C > Capacitor D

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Answer:

Object X reflects yellow and object Y reflects none.

Explanation:

We are able to see the colors of different objects because the light rays falling on the surface of an object reflects back few or none of the colors to our eyes. We see the color that is reflected back to our eyes.

In the context, Marcy has two objects, X and Y. We see that object X is yellow in color because as the light rays falls on the object X, it absorbs all the colors of the spectrum and reflects the color yellow back to our eyes. So we can see that the object X is yellow.

Similarly, when spectrum light falls on the surface of the object Y, it absorbs all light in its body and reflects none of its colors. So the object Y appears to be black to our eyes.

Answer:

A. Aplastic skeleton that shows all the bones of the body

Explanation:

because physical means like 3D and not on paper or in technology.

To calculate the amount of potential energy initially stored in the spring, we need to consider the conservation of mechanical energy.

The mechanical energy of the block-spring system is conserved when no external forces other than gravity and friction are acting on it. At point A, the mechanical energy is stored entirely as potential energy in the compressed spring. The potential energy stored in the spring can be calculated using the formula: Potential Energy (PE) = (1/2)kx^2

where k is the spring constant and x is the displacement of the spring from its equilibrium position.

To find the spring constant, we need to know the force constant of the spring (k) or the spring's compression distance (x). Unfortunately, this information is not provided in the given question. If you have any additional information about the spring constant or the compression distance, please provide it so that I can assist you further.

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Answer:

The velocity of the motorboat after 6s is 24 m/s.

Explanation:

Given;

acceleration of the motorboat, a = 4.0 m/s²

initial velocity of the motorboat, u = 0

time of motion of the motorboat = 6s

Apply the following kinematic equation to determine the velocity of the motorboat after 6 ;

v = u + at

v = 0 + (4 x 6)

v = 24 m/s

Therefore, the velocity of the motorboat after 6s is 24 m/s.

Answer:

Climate scientists compare the tree growth records to local weather records. For locations where a good statistical match exists between tree growth and temperature or precipitation during the period of overlap, the ring widths can be used to estimate past temperature or precipitation over the lifetime of the tree.

Answer:

true

Explanation:

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The process of digestion starts in the mouth through to the esophagus, then the stomach to the small intestine and then the large intestine.

The digestive process begins in the mouth, where food is chewed and mixed with saliva. Saliva contains enzymes that start to break down starch. The food then travels down the esophagus to the stomach. In the stomach, food is mixed with gastric juices, which contain acids and enzymes that break down proteins.

The food then travels to the small intestine, where it is further broken down by enzymes from the pancreas and bile from the liver. The nutrients from the food are then absorbed into the bloodstream through the walls of the small intestine. The waste products of digestion travel to the large intestine, where water is absorbed. The remaining waste products are then eliminated from the body through the rectum.

The four main processes of digestion are:

Mechanical digestion: This is the breakdown of food into smaller pieces. It is accomplished by the teeth, tongue, and stomach.

Chemical digestion: This is the breakdown of food into smaller molecules that can be absorbed by the body. It is accomplished by enzymes.

Absorption: This is the movement of nutrients from the digestive tract into the bloodstream. It is accomplished by the villi in the small intestine.

Elimination: This is the removal of waste products from the body. It is accomplished by the large intestine and rectum.

There are many different kinds of enzymes in the digestive system. Each enzyme is responsible for breaking down a specific type of food. For example, amylase breaks down carbohydrates, proteases break down proteins, and lipases break down fats.

The enzymes in the digestive system work together to break down food into smaller molecules that can be absorbed by the body. This process is essential for good health.

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Power is dissipated, not consumed.

This circuit dissipates 4.5 watts.

Answer:

a

Explanation:

Answer:

A or each parent had at least one allele for white pedals

Explanation:

We have that the height is mathematically given as

From the question we are told

Generally the equation for the Height  is mathematically given as

\(P.E=E_{sp}\\\\Where\\\\E=\frac{1}{2}*(4*110^3)(0.25)^2\\\\E_{sp}=125J\\\\Therefore\\\\mgh=125\\\\h=\frac{125}{1.5*9.8}\)

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The maximum height to which the device will launch the object is 8.5 m.

The spring's elastic potential energy is equal to the potential energy of the object.

The maximum height of the object can be calculated using the formula below.

Formula:

Where:

Make h the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The maximum height to which the device will launch the object is 8.5 m.

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The maximum delay before the pill is no longer usable can be calculated using the concept of half-life. The half-life of the radioactive isotope is 8 days, which means that after 8 days, half of the initial number of atoms will decay.

Therefore, if the initial number of atoms in the pill is 4 x 1014, after 8 days, it will be reduced to 2 x 10^14 atoms. After another 8 days, it will be reduced to 1 x 10^14 atoms, which is the minimum required for the pill to be still usable. Therefore, the maximum delay before the pill is no longer usable is 16 days (2 half-lives), after which the number of radioactive atoms will be less than the required minimum.

Radioactive iodine, a treatment for thyroid conditions, works by therapeutically damaging tissue. A single pill contains 4 x 10^14 atoms of the radioactive isotope with a half-life of 8 days. To remain usable, it must have at least 1.1 x 10^14 atoms.

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Answer:

The answer is False

Explanation:

to keep the body active and going in the good state

Answer:

False ....Even for a normal student , in order to maintain the fitness they should exersice ...

1. Air resistance force usually upwards, but gravity doenwards.

2. Objects are affected by gravity the same, but air resistance can affect the speed of an object's descent.

Sorry if im wrong