A toroid has a 4.63 cm square cross section, an inside radius of 15.0 cm, 527 turns of wire, and a current of 0.725 A. What is the magnetic flux through the cross section

Considering the definition of potential energy, the potential energy of the bungee jumper is 90,889.65 J.

Potential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity.

So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:

Ep= m×g×h

Where:

In this case, you know:

Replacing in the definition of potential energy:

Ep= 85 kg × 9.81 m/s² × 109 m

Solving:

Ep= 90,889.65 J

Finally, the potential energy of the bungee jumper is 90,889.65 J.

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Athletes that energy drinks are not appropriate for hydration or as dietary supplements.

Vitamins and minerals are recommended when an athlete has low blood values, a medical condition that may lead to poor absorption of nutrients, or other potential nutrition/eating challenges.

As per the question

FDA doesn't regulate dietary supplements

Dietary supplement companies must ensure their products are safe before marketing and comply with other labeling and quality requirements, such as good manufacturing practices.

The FDA inspects facilities for compliance and monitors adverse event reports.

Dietary supplements should be used only upon the advice of one’s health care provider for health-related reasons – not for the purpose of gaining a possible competitive advantage.

They recommend that coaches, athletic directors, and other school personnel develop strategies that address the prevalence and growing concerns of using dietary supplements. Such strategies may include conversations with athletes and their parents about the potential dangers of dietary supplement use.

Athletes should be encouraged to pursue their athletic goals through hard work, appropriate rest and good nutrition, not unsubstantiated dietary shortcuts.

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The engine is rated at 400 horsepower at 6,400 rpm and 350 lb-ft of torque starting from 1,600 to 5,200 rpm.

Horsepower:

The power an engine produces is referred to as horsepower. It is determined by the amount of force required to move 550 pounds one foot in a second or 33,000 pounds one foot in a minute. The speed at which the work is completed serves as a gauge of power.

Equation to calculate horsepowe:

Simple math can be used to get horsepower: Horsepower = Torque x RPM / 5,252. To test it out for yourself, use the horsepower calculator below. Knowing a few more fundamental terminology and formulas can help you comprehend how a dynamometer determines torque and power.

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Answer:

A object in rest will remain in rest and a object in motion will move at a constant pace and in a straight line unless a unbalanced force acts upon it

Explanation:

give brainliest if you'd like

Newton's first law: the law of inertia

Newton's first law states that

if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

hope you understand thank you.

Answer:

The heat from the water deforms the sides because it melts the plastic

Answer:

Kinetic Energy = 2.7J

Explanation:

Conversion :

200g = 0.2kg

Kinetic Energy = ½ × mass × (velocity)²

Kinetic Energy = ½ × 0.2kg × (5.2m/s²)

Kinetic energy = ½ × 0.2kg × 27.04m²/s²

Kinetic Energy = 2.7J

The right answer is "2.7 J"

Answer explanation:

Remember to convert grams to kilograms first by dividing by 1000.

Kinetic energy

= 1/2 × mass × speed2

= 1/2 × 0.2 kg × (5.2 m/s)^2

= 2.7 J (to 2 sig. fig.)

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D.  The movement that will require the greatest amount of work to be

done is a force of 15n moving an object a distance of 5.0m (75 J).

Work is said to be done when an applied force moves an object over a given distance.

W = Fd

where;

W = 10 x 3 = 30 J

W = 10 x 5 = 50 J

W = 15 x 3 = 45 J

W = 15 x 5 = 75 J

Thus, the movement that will require the greatest amount of work to be

done is a force of 15n moving an object a distance of 5.0m (75 J).

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Answer:

The answer is C.19.8 m/s because it's their common velocity after the collision of the two cars.

Explanation:

Hello !

look at the attachment above ☝️ and if you have any questions you're welcome.

The best name for the ionic bond that forms between them is Beryllium Bromide.

We have been provided with data,

Beryllium charge, q = 2

Bromine charge, q = -1

As we know the valance electron of Be is +2  and the valance electron of bromine is -1. Since one is metallic and the other is non-metallic.

Now, when they combine they exchange valance electron, and bromine change into bromide so they form Beryllium Bromide.

So, the best name for the ionic bond that forms between them is Beryllium Bromide.  

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Answer:

Zodiac signs

Explanation:

The change in the internal energy of the system is increased by 1 Kj.

According to the first law of thermodynamics,

Therefore, Δ∪=q+w

[Δ∪= change of internal energy; q=heat; w=work]

Provided,

q= -3Kj (as heat is given away)

w= +2Kj (work done in the system is positive)

So, Δ∪= -3 + (+2) Kj

⇒Δ∪= -1 Kj

Therefore the internal energy of the system is increased by 1 kj.

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Answer:

experiments provide course effective means of quantitative process kind of examing the bounds of theory is specially when the Nolan reality is important analysis

Explanation:

regardless of such topic the purpose of laboratory experiment is to test theory occurs by focusing on one server predictive elements of the theory is isolating the influence of elements on outcomes

Expenses including those for linen service, ice, and paper goods might fluctuate depending on demand. Other variables are constants. No change occurs to it. This is further explained below.

Generally, Fixed expenditures, in contrast to the more unpredictable variable costs like advertising, happen regularly at the same time each year regardless of fluctuations in revenue or other variables. It doesn't get the performance bus.

Here, we are given with table.

[tex]\begin{tabular}{|c|c|c|}Other Expenses & Variable Expense & Fixed Expense. \\ Linen rental & $X$ & \\ piano rental & & $X$ \\ ice & $X$ & $X$ \\insurance & & $X$ \\ Pension plan & & $X$ \\Snow shoveling dees cparkinglot) & & \\Paper products & $X$ & $X$ \\ Kituen equipment & & $X$ \\ lease (mixer) & & \\Longterm debt. & & \\ Realestate tax. & & \\\end{tabular}[/tex]

In conclusion,

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The force of the body is obtained as 81144 N.

The term pressure is defined as the mass per unit area of a body. We have the pressure at the top of the tank as 225400 Pa and the area of the tank as 0.6 m by 0.6 m.

Thus;

Pressure = Force/Area

Force = Pressure * Area

Force = 225400 Pa *  0.6 m *0.6 m

Force = 81144 N

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If it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

Convection is the transfer of heat from one place to another due to the movement of fluid.

During heat transfer by convection, cold air replaces hot risen air.

Thus, if it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

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The corresponding height of the given parallelogram is 5.4 units

steps involved:

Given that the basis of the parallelogram RSTU is thought to be the line segment RU with vertices R(1, 1) and U(4, 5).

The parallelogram's top is therefore defined as the line segment ST with vertices S(7, 0) and T(10, 4).

The length of a line with endpoints at RU and ST and that is perpendicular to both RU and ST is the length that corresponds to the parallelogram's height.

Given by is the equation for the line segment RU.

Let the slope of the line perpendicular to line RU be m, then provided that two lines are perpendicular, the product of the slope of the two lines is -1.

Consequently, the equation for the line passing through point (1, 1) and perpendicular to RU is

Therefore, the corresponding height of the given parallelogram is 5.4 units

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Answer:

In solid it is high because the molecules are closely packed.

In liquid it is lesser than solids as they are loosely

packed.

In gas it is least because they are very loosely packed

The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule,  0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule  respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.

Energies at the top:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 70 Joule

Potential energy  = 2.38 x 10⁷ Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²

Kinetic Energy = 0 Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )

Total Energy = 23.8 x 10⁶ Joule

Energies at the bottom:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 0 Joule

Potential energy  = 0 Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²

Kinetic Energy = 2.448 x 10⁶ Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )

Total Energy = 2.448 x 10⁶ Joule

The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.

So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.

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This is a uniformly accelerated rectilinear motion exercise.

To start solving this exercise, we obtain the following data:

To find the acceleration, divide the change in velocity by the time over which the velocity changed. The SI unit of speed is the meter per second (m/s). To find the acceleration, the velocity is divided by the time expressed in seconds (s). Therefore, the unit of acceleration is m/s².

We apply the following formula:

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{V_{f}-V_{o}}{t} \end{gathered}$}[/tex]

where,

We substitute our data in the formula and solve:

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{20 \ m/s-45 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{-25 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf a=-50 \ m/s^{2} \end{gathered}$}}[/tex]

Answer: The acceleration when the ball slows down is -50 m/s².

The uniformly accelerated rectilinear motion, also known as uniformly varied rectilinear motion, is one in which a mobile moves on a straight path being subjected to a constant acceleration.

Final Speed (Vf) = 20 m/s

Initial Speed (Vo) = 45 m/s

Time (t) = 0.5 sec

Acceleration (a) = ¿?

To calculate the acceleration, subtract the initial velocity minus the initial velocity, divided by the time.

To solve, we substitute our data into the given formula:

Answer: The acceleration with which the ball stops is -50 m/s².

Answer:

if the car is traveling north, the person is also traveling north,

If the car turns to (left) to the west, the person will still tend to travel to the north and will slide to the right (north) on a slippery car seat.

Answer:

At 820 K, the object lose heat at the rate of 0.072 J/min.

Explanation:

By using Newton's cooling law, the formula to calculate the rate of cooling R is,

R=-k(T-To)

where k is a constant, T is the temperature of the object and To is the temperature of the surrounding.

At T=950 K, R=0.15 J/min and To=700 K,

Therefore, 0.15=-k(950-700)

k=0.15/250 J/K min.

At T=820 K,

R=-(0.15 / 250)*(820-700)

R=-0.072 J/min

Therefore the rate of heat loss at T=820 K is 0.072 J/min.

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Moment of inertia decreases about the axis of rotation.

The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis.

Means,

I=mr² where,

I= Moment of inertia

m= mass of particle

r= distance of the particle from the axis of rotation.

So, Moment of inertia is directly proportional to the square of the distance from the axis of rotation.

I ∝ r²

As the distance of body from the axis of rotation increases, moment of inertia also increases and vice versa.

So, that's why when an ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body , then he/she will decrease his/her distance from the axis of rotation.

That's why moment of inertia decreases about the axis of rotation.

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The speed of the rocket at the end of 10 seconds is 66.7 m/s.

The speed of the rocket at the end of 10 seconds is calculated as follows;

F = mv/t

where;

F = (m/t)v

F = (0.025 kg /s) x 80 m/s

F = 2 N

F = ma

a = F/m

a = 2/(0.3)

a = 6.67 m/s²

v = at

v = 6.67 x 10

v = 66.7 m/s

Thus, the speed of the rocket at the end of 10 seconds is 66.7 m/s.

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Answer:

according to the Archimedes principle , the floating substance displaces some liquid, so when the ice melts ,there will be no change in the water level as the melted ice will occupy the same volume as it was occupying earlier.

Explanation:

Electric field between two parallel plates will be halved as it was before.

What is the electric field between two plates:

The electric field lines of two parallel plates can be represented by straight lines perpendicular to both plates surfaces while carrying arrows that point from +Q plate A toward -Q plate B.

we know that,

The electric field between plates:

E=V / d

where,

V is battery voltage

d is separation distance between plates.

now If the plates are pulled twice as far apart, but are kept connected to the battery,

the separation distance becomes,

d' = 2d

so the new electric field will be:

E' = V / d'

substituting the values,

E' = V / ( 2d )

E' = 1/2 ( V /d )

E' = 1/2 E

hence we can conclude that

Electric field between plates will be halved as it was before.

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The stone will strike the ground with velocity of 33.5 m/s.

What is velocity:

What is displacement:

Here,

Stone is dropped freely from rest, so it's Initial velocity will be zero.

u = 0 m/s

displacement is equal to half of total height.

y = h/2

since Stone is dropped freely, a=g ( acceleration of gravity)

According to Newton's equation of motion:

y = u* t + 1/2 (at^2)

h/2 = 0 + 1/2 (gt^2)

h = g* t^2 -----1

now at t= t+1 , displacement y = h

h = u* t + ½ g (t + 1)²

h = ½ g (t + 1)² -----2

comparing both equations,

g* t^2 = ½ g (t + 1)²

2t² = (t + 1)²

2t² = t² + 2t + 1

t² − 2t = 1

t² − 2t + 1 = 2

(t − 1)² = 2

t − 1 = ±√2

t = 1 ± √2

Since t > 0, t = 1 + √2.  

So t+1 = 2 + √2.

At that time, the speed is:

v = at + u

v = g (2 + √2) + 0

v = g (2 + √2)

If g = 9.8 m/s²,

v = 33.5 m/s.

The stone will strike the ground with velocity of 33.5 m/s.

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Answer:

slows down

Explanation:

slow down and speed up

The food substance being used which turned Fehling's solution to brick red is a reducing sugar.

This is an indicator which is used to test for the presence of reducing sugar or aldehydes in a solution.

Brick red precipitate of copper(I) oxide is formed when it tests positive to compounds such as glucose etc.

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The mechanical energy of the river water per unit mass is 887.4 J/kg

The power generated is 452.574 MW.

Given:

Average velocity (v) = 3 m/s

Rate = 510 m³/s

Height (h)  = 90 m

We know, that mechanical energy is the sum of potential energy and kinetic energy.

So,

E = [tex]\frac{1}{2}[/tex]×m×v² + m×g×h                    

and energy per mass unit is

E/m =  [tex]\frac{1}{2}[/tex]×v² + g×h

E/m =  [tex]\frac{1}{2}[/tex]×3² + 9.81×90

E/m = 887.4 J/kg

So, mechanical energy per unit mass is 887.4 J/kg.

Power generated is expressed as;

Power generated = energy per unit mass ×rate×density

Density of water = 1000 kg/m³

Power generated = 887.4× 510× 1000

Power generated = 452574000 W

So, the power generated is 452.574 MW.

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The instantaneous velocity of the object is 137.2 m/s along the downward direction.

Instantaneous velocity: The velocity of an object at a particular instant of time is called the instantaneous velocity.

Note: The y-axis is taken along the upward direction so acceleration due to gravity will be negative.

Any object that is falling freely is acted upon by gravity. The first equation of motion gives the relationship between initial velocity, the velocity at time t, time, and acceleration. The equation is,

v=u+at

where v is the velocity at time t, u is the initial velocity, t is the time, and g is the acceleration due to gravity. Since the object starts from rest, its initial velocity is zero.

For the given case, u=0, a=-9.8 m/s^2 and t=14 s. Put the values in the equation to get the instantaneous velocity of the object at t=14 s.

v=0+(-9.8)(14)

v=-137.2 m/s

The negative sign indicates the object is falling downward.

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