why the first hill of a roller coaster must be the tallest.

Answers

Answer 1

We know that the mechanical energy is conserved, that is:

\(K_i+U_i=K_f+U_f\)

Which means that when the car is riding down the potential energy is being converted to kinetic energy; conversely, when the car is riding up the kinetic energy is being converted to potential energy.

Now, the first hill has to be the tallest so that at that point the car has the greater potential energy and for conservation of energy we make sure that the car can climb up all the remaining hills on the roller coaster without getting stopped and without having the need of making more work on the roller coaster.

Answer 2

Answer:

So the roller coaster can gain momentum.

Explanation:


Related Questions

in the consequent pole motor, if the number of poles is doubled, the motor speed will be _____.

Answers

If the number of poles in a consequent pole motor is doubled, the motor speed will be halved.

In a consequent pole motor, the rotor consists of multiple poles, each connected to form a closed loop. These poles interact with the stator's poles to create the motor's rotating magnetic field. The speed of the motor is directly influenced by the number of poles and the frequency of the power supply.

When the number of poles is doubled, it means that there are twice as many magnetic poles on the rotor. In turn, this affects the rotation of the magnetic field and the resulting motor speed. According to the synchronous speed formula, the synchronous speed (Ns) of a motor is given by:

Ns = (120f) / p

Where f is the frequency of the power supply and p is the number of poles. As the number of poles (p) increases, the synchronous speed decreases. This means that the motor will rotate at a slower speed.

For example, if initially the motor had four poles and a certain speed, doubling the number of poles to eight would halve the synchronous speed. Therefore, the motor's speed will be reduced by half when the number of poles is doubled in a consequent pole motor.

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Which of the following substances can be separated into several elements?
A. nitrogen B. zinc
C. air D. aluminum

Answers

Answer: C

Explanation: Air

Hope this helps! Brainlist Plz?

The following substances can be separated into several elements is the air because consisting of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases.

What is air composed of?

Atmospheric air is made up of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases. Oxygen and nitrogen are the most abundant gases, with the other gases being found in smaller amounts.

So the only element that we can separate into is air, because when performing the separation we find oxygen, nitrogen, carbon dioxide and noble gases.

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which of the following correctly describes the velocity and acceleration of the object after 4s?

which of the following correctly describes the velocity and acceleration of the object after 4s?

Answers

Answer:

C

Explanation:

The acceleration will be negative, as in the problem statement, the upwards direction is defined as positive (the object is shot upwards and has a positive velocity), so immediately, we can eliminate A and B.

You can then use the kinematics equation:

\(v=v_o+at\), where

a= -9.8 m/s^2 (acceleration due to gravity)

t= 4 s (time)

v\(_0\)= 20 m/s (initial speed)

when you solve, the final velocity is -19.2 m/s, so the velocity is negative (the object is on its way down).  

how could you prove that rock layers in one area match rock layers found in another area?

Answers

To prove that rock layers in one area match rock layers found in another area, geologists use the principles of stratigraphy, including fossil, lithologic, and chemical correlation techniques.

One way to prove that rock layers in one area match rock layers found in another area is by using the principle of stratigraphy, which is the study of rock layers (strata) and their relationships. Geologists can use several techniques to correlate rock layers between different locations, including:

Fossil correlation: If a particular fossil is found in two different rock layers at different locations, it is a good indicator that the layers are of the same age. This is because certain fossils only existed during specific time periods, and so if the same fossil is found in two different rock layers, it can be inferred that those layers were deposited during the same time period.

Lithologic correlation: Rocks can have unique characteristics that allow geologists to match them to other rocks of the same type. For example, sandstone can have unique grain sizes or shapes that can help identify it as coming from a specific location.

Chemical correlation: Some rocks have unique chemical compositions that can be used to match them to other rocks of the same type. For example, volcanic rocks can have unique isotopic signatures that can help identify them as coming from a specific volcano.

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A 1 kg rock sitting on a hill with 30 degree slope has a resisting force of 0.87 kg. Roughly how great is the driving force pulling on this rock

Answers

The driving force pulling on the rock is roughly equal to its weight, which is 9.81 N.


We can use trigonometry to calculate the force of gravity acting on the rock, which is the driving force in this case.

The force of gravity can be calculated using the formula F = mgsinθ, where m is the mass of the object (1 kg), g is the acceleration due to gravity (9.81 \(m/s^{2}\)), and θ is the angle of the slope (30 degrees).

Using this formula, we get F = (1 kg)(9.81 \(m/s^{2}\)) sin(30 degrees) = 4.9 N. Therefore, the driving force pulling on the rock is approximately 4.9 N.

The resisting force of 0.87 kg mentioned in the question is not directly related to the driving force. Resisting force is typically a force that opposes motion or slows down an object while driving force is the force that propels an object forward. In this case, the resisting force may be due to friction or other factors, but it doesn't affect the calculation of the driving force.

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Solve the rational equation:
5x/x+2 = 3x/x+1

Answers

Answer:

x = 1/2

Explanation:

5x/x + 2 = 3x/x + 1

do cross multiplication

(x + 2) * 3x = (x + 1) * 5x

3x^2 + 6x = 5x^2 + 5x

6x - 5x = 5x^2 - 3x^2

x = 2x^2

x/x^2 = 2

1/x = 2

1 = 2x

1/2 = x

As compared to training on a level surface, what is the percentage of total power achievable by training on an uneven surface?

Answers

When training on an uneven surface, the percentage of total power achievable is typically lower compared to training on a level surface. This is because the body needs to work harder to stabilize itself and adapt to the uneven terrain, resulting in a higher energy expenditure.

1. Training on an uneven surface introduces various challenges and demands more from the body. The uneven terrain requires the muscles to constantly adjust and stabilize, leading to increased muscle activation and energy expenditure.
2. As a result, the body needs to work harder to maintain balance and stability during exercises or movements on an uneven surface. This increased effort leads to a higher energy demand and a lower percentage of total power being available for the primary movement or exercise being performed.
3. In contrast, training on a level surface provides a more stable and predictable environment, requiring less energy expenditure for maintaining balance and stability. Therefore, when training on a level surface, a higher percentage of total power can be dedicated to the primary movement or exercise, allowing for more efficient and effective training.

Overall, training on an uneven surface may offer additional benefits such as improved proprioception and core strength, but it typically results in a lower percentage of total power achievable due to the increased energy demands of stabilizing the body.

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which of the following is fundamentally different from the others? a. sound waves b. x-rays c. gamma rays d. green light waves e. radio waves

Answers

Sound waves are fundamentally from the other waves.

A sound wave is a pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter).

Sound waves are fundamentally from the other waves.A sound wave is a configuration of disruption brought on by an energy flow moving through a medium.Unlike electromagnetic waves, which do not require any medium for propagation, the medium can be air, water, liquid, or any other solid material.Electromagnetic waves include X-rays, radio waves, and light waves.Electric and magnetic waves combine to form electromagnetic waves.

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a satellite with a mass of 2190 kg is placed at an altitude of 465650 km above the surface of sun. what is the strength of the gravitational force on the satellite?

Answers

The gravitational force of the satellite can be determined using universal gravitational law. The force of gravitation on the satellite is 6.73 × 10⁻²⁵ N.

What is gravitational force?

Gravitational force is a kind of force by which an object attracts other objects into its centre of mass. Earth gravitationally pull every objects into its centre and that's why every one is standing on the ground.

According to Universal Gravitational law, the force of gravitation g is written as:

g = G m/r²

where, G is the universal gravitational constant and   r be the distance from the surface and m be the mass.

The mass of the satellite = 2190 Kg

r = 465650 × 10³ m

G = 6.67 × 10⁻¹¹ m³/ Kg s⁻²

then g = 6.67 × 10⁻¹¹ m³/ Kg s⁻² ×  2190 Kg/ (465650 × 10³ m)²

           = 6.73 × 10⁻²⁵ N.

Therefore, the gravitational force on the satellite is 6.73 × 10⁻²⁵ N.

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what do you think you would observe if you did the same experiments with incoherent light at a single wavelength? what about if you used incoherent white light (i.e. light consisting of a spectrum of wavelengths)

Answers

Incoherent light at a single wavelength would produce a diffraction pattern that is very similar to the diffraction pattern produced by coherent light of the same wavelength.

However, because the phases of the light waves are not correlated, the diffraction pattern would not be as sharp as that produced by coherent light. The intensity distribution would still show a central bright spot with alternating dark and bright fringes, but the fringes would not be as well defined as in the case of coherent light.

If incoherent white light were used instead of coherent light, the diffraction pattern would be much less distinct. The individual wavelengths of the white light would interfere with each other, producing a complex pattern of bright and dark spots that would be difficult to interpret.

The result would be a diffuse pattern that would not have the sharp fringes seen in the diffraction pattern produced by coherent light. This is because the waves from different parts of the spectrum would be out of phase with each other, leading to destructive interference and a decrease in overall intensity.

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Mike is pushing a car up a ramp. What could Mike do to reduce the effort force he needs to use to push the car?

Answers

Answer:

He could use a really big pulley system or get in it and drive or call a tow truck.

A 0. 10 kg ball falls 10. 0 m onto a hard floor and then bounces back up to 9 m. How much of its mechanical energy is transformed to the internal energy of the ball and the floor?

Answers

Approximately 9% of the mechanical energy of the ball is transformed into internal energy of the ball and the floor.

When the ball falls and bounces back up, some of its initial mechanical energy is lost as it is converted into internal energy. The mechanical energy of the ball consists of its potential energy (mgh) when it is at a height of 10.0 m and its kinetic energy (1/2 mv^2) when it is at a height of 9.0 m. The loss in mechanical energy is due to factors like deformation of the ball and floor, sound, and heat generated upon impact.

To calculate the percentage of energy loss, we need to compare the difference in mechanical energy before and after the bounce. The difference is approximately 0.81 J. Dividing this by the initial mechanical energy (81 J) and multiplying by 100 gives us the percentage, which is approximately 9%. Therefore, around 9% of the mechanical energy is transformed into internal energy of the ball and the floor during the bounce.

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the following diagrams are the same as those from part a. this time, rank the pairs from left to right based on the size of the acceleration the asteroid on the left would have due to the gravitational force exerted on it by the object on the right, from largest to smallest. view available hint(s)for part c resethelp two accelerating cars. the car on the left accelerates much faster than the car on the right.

Answers

Newton's second law states that the asteroid with the greatest acceleration will also be the one that is subject to the correct object's greatest gravitational pull. Because of this, the ranking for Part A and Part B are identical.

When there are unbalanced forces acting on an object, Newton's second law of motion applies. According to the second law, the mass of the item and the net force acting on it both affect how quickly an object accelerates. An object's acceleration is directly proportional to the net force applied to it and inversely proportional to its mass. An object's acceleration increases as the amount of force exerted on it do. A decreasing acceleration is caused by an increase in an object's mass.

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Suppose the public wishes to hold $0.20 in pocket money and $0.25 in time deposits. For each dollar of deposits created, $0.04 finds its way outside the domestic banking system. Depository institutions plan to keep $0.10 in excess reserves for each dollar of transaction money received. Reserve requirements on transaction deposits and time and savings deposits are 8 percent and 4 percent, respectively. Suppose $3.75 million in new excess reserves appear in the banking system. What is the effect on the money supply

Answers

The effect on the money supply would be a decrease of approximately $3.31875 million.

The effect on the money supply can be calculated by considering the multiple deposit creation process. Let's break down the given information:

Desired pocket money: $0.20

Desired time deposits: $0.25

Leakage to outside the domestic banking system per dollar of deposits created: $0.04

Desired excess reserves per dollar of transaction money received: $0.10

Reserve requirements on transaction deposits: 8%

Reserve requirements on time and savings deposits: 4%

New excess reserves in the banking system: $3.75 million

To calculate the effect on the money supply, we need to determine the potential deposit creation and the corresponding change in the money supply.

First, we calculate the total desired deposits:

Desired deposits = Desired pocket money + Desired time deposits = $0.20 + $0.25 = $0.45

Next, we calculate the potential deposit creation:

Deposit creation = Desired deposits / (1 - Leakage) = $0.45 / (1 - $0.04) = $0.46875

Now, we calculate the change in transaction deposits:

Change in transaction deposits = Deposit creation * (1 - Reserve requirement on transaction deposits) = $0.46875 * (1 - 0.08) = $0.43125

Finally, we calculate the change in the money supply:

Change in money supply = Change in transaction deposits - New excess reserves = $0.43125 million - $3.75 million = -$3.31875 million

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A 6.00 kg bowling ball with speed 9.00 m/s strikes a 0.750 kg pin. This slows the ball to
7.00 m/s. Find the force exerted on the pin due to the impact if the collision last for 0.030 s.
(a) Find the change in momentum of the bowling ball
(b) Find the impulse imparted on the pin
(c) Find the resulting speed of the pin after the collision
(d) Find the force exerted on the pin during the collision

Answers

For a 6.00 kg bowling ball:

(a) change in momentum of the bowling ball is −12.0 kg m/s

(b) impulse imparted on the pin is −12.0 kg m/s.

(c) resulting speed of the pin after the collision is 8.00 m/s

(d) force exerted on the pin during the collision −400 N

How to solve for collision?

(a) The change in momentum of the bowling ball is given by

Δp = m(vf − vi) = (6.00 kg)(7.00 m/s−9.00 m/s) =−12.0 kg m/s

(b) The impulse imparted on the pin is equal to the change in momentum of the bowling ball, so the impulse is −12.0 kg m/s.

(c) The resulting speed of the pin after the collision can be found using conservation of momentum. The total momentum after the collision is the sum of the momentum of the bowling ball and the momentum of the pin. So,

mbvi = mbvf+ mpvp

​where vp = speed of the pin after the collision.

Solving for vp,

vp = mb(vi− vf)/mp = (6.00 kg)(9.00 m/s−7.00 m/s) / 0.750 kg = 8.00 m/s

(d) The force exerted on the pin during the collision is given by

F = Δp/Δt = − 12.0 kg m/s/0.030 s = −400 N

The negative sign indicates that the force is in the opposite direction of the initial velocity of the bowling ball.

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A 130 kg truck with a velocity of 12m / s crashes into a parked car with a mass of 100 kgWhat is the final velocity of the two objects if they stick together after the collision

Answers

Answer:

6.78 m/s

Explanation:

We can use the law of conservation of momentum to solve this problem. According to this law, the total momentum of a system is conserved in the absence of external forces. In this case, the system consists of the truck and the parked car.

Before the collision, the momentum of the truck is given by:

p1 = m1 * v1 = 130 kg * 12 m/s = 1560 kg*m/s

The momentum of the parked car is zero since it is not moving.

The total momentum of the system before the collision is therefore:

p1_total = p1 + p2 = 1560 kg*m/s

After the collision, the two objects stick together and move with a common velocity, which we will call v_final. The total mass of the system is:

m_total = m1 + m2 = 130 kg + 100 kg = 230 kg

The total momentum of the system after the collision is:

p2_total = m_total * v_final

According to the law of conservation of momentum, p1_total = p2_total. Therefore:

1560 kg*m/s = 230 kg * v_final

Solving for v_final, we get:

v_final = 1560 kg*m/s / 230 kg = 6.78 m/s

Therefore, the final velocity of the two objects after the collision is 6.78 m/s.

Explanation:

m1 of the truck: 130 kg

m2 of the car: 100 kg

v1 of the truck: 12 m/s

vf?

use the formula:

(m1×v1) + (m2×v2) = (m1+m2)vf

so

\(vf = \frac{(m1 \times v1) + (m2 \times v2)}{(m1 + m2)} \)

\(vf = \frac{(130 \times 12) + (100 \times 0)}{(130 + 100)} \)

vf = 1560 ÷ 230 = 6,7 m/s

at steady-state, what is the frequency of (displacement) of the mass-spring-damper and will this frequency be in phase with the sinusoidal driving force? explain how you arrived at your answer

Answers

The frequency of displacement of a mass-spring-damper system under sinusoidal driving force is equal to the driving force frequency and in phase with it at steady state.

In a mass-spring-damper system driven by a sinusoidal force, the system will reach a steady-state where the amplitude of the displacement oscillations will remain constant. The frequency of this displacement will be equal to the frequency of the driving force.

Whether the frequency of displacement will be in phase with the driving force depends on the damping ratio of the system. If the damping ratio is zero (i.e. the system is undamped), the displacement frequency will be in phase with the driving force. However, if the system is damped, the displacement frequency will lag behind the driving force frequency.

This is because damping causes energy to be dissipated from the system, resulting in a reduction in the amplitude of the displacement oscillations. As a result, the displacement frequency will be slightly lower than the driving force frequency, and the displacement will lag behind the driving force. The amount of lag will depend on the damping ratio of the system.

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--The complete question is, In a mass-spring-damper system, a sinusoidal driving force is applied. At steady-state, what is the frequency of displacement of the system and will this frequency be in phase with the driving force? Provide an explanation for your answer--

Does the size of the magnetic field change with the size of the magnet?

Answers

Answer:

Not all of the time, it can also depend on the strength of the magnet.

Explanation:

say you have a small very strong magnet, that might work just as well as a large but week magnet.

1 If you measured the distance travelled by a snail in
inches and the time it took in minutes, what would
be the units of its speed?

Answers

The answer is m/s hope it helps

when Heather swings on a swing set she moves in a periodic motion like a pendulum she has a mass of 62 kg if Heather has a maximum height of 1.2 M what is her maximum velocity? ​

Answers

Answer

U Max velocity= Potential energy= kinetic energy

The potential energy is the product of mass * acceleration due to gravity * height

The kinetic energy is the product of 1/2 mass* square of velocity.

Max Velocity=mgh= 1/2mv^2

Mass is given as 62kg, height =1.2m and g= 9.8m/s^2

62kg* 9.8m/s^2*1.2= 1/2*62kg* v^2

729.12=31v^2

V^2= 729.12/31 =23.52

V^2=square root of 23.52

V= 4.85m/s

Which type of uninterruptible power supply uses AC power to continuously charge its battery, while also providing power to devices through the battery?

Answers

Answer:

An online UPS.

Explanation:

An online UPS is a type of uninterruptible power supply uses AC power to continuously charge its battery, while also providing power to devices through the battery. It combines the inverter and rectifier to provide power to the alternating current (AC) load while supplying alternating current (AC) power during an outage to the load through the inverter.

Basically, an uninterruptible power supply unit is used to provide constant power supply to an electrical device, especially during a power outage.

Imagine that you visited Israel . What was your
favorite thing you got to experience and why? What was your favorite food
and why? Any experience you learned about or experienced? Write about it!

Answers

Answer:

i did not go to isreal

Explanation:

Answer:

i've actually been so maybe this will  help you

Explanation:

My favorite thing about Israel was their beaches. The water is really beautiful and clear as day. I really enjoyed the beach because back home where im from the beach water is very dirty, so i felt like being in Israel with the clear waters just made me feel clean and whole . I had alot of food there but their hummus was amazing, it was the best i ever had. From that experience i learned to take care of myself. In Israel , i felt like a different person and i noticed that alot of people would come out and enjoy what they have which is something that not alot of us do very often. To this day i make sure that i spend time with myself and make sure im at a good mindset. its ok to treat yourself :)

And PLEASE NO SCAMED WHAT IS WRONG AND WHAT IS RIGHT PLZZ HELP AND DO IT IN YOUR OWN WORDS BECAUSE MY TEACHER WILL KNOW AND HE WILL FLAGGED ME AND YES I AM N FLVS Science 6th grade so my teacher said i made a excellent hypothesis, recorded my data clearly, identified your variables accurately, analyzing how friction changes based on the surface texture. but what was wrong that i needed to add the total distance traveled for all 3 trials on each surface and then divide by 3 to get the average for each surface texture....
Procedures (4 points)

In this section please list ALL materials you used to complete your experiment, summarize the steps you took to complete the experiment and describe any difficulties or errors you encountered.

If an object rolls over (choose one type of material you used), then it will travel (choose one: the farthest distance/the shortest distance).

If the ball rolls over the carpet then It will travels the farthest distance.






For this lab I used the following materials: ball, books, carpet, floor tile, towel, ruler.












Short summary of what I did: (use words like first, next and last) First I stacked my books, Next I put my ruler next to the book last I put my ball on the top of the books and I let it roll down.





I experienced the following errors while doing my experiment: when I rolled the ball on the carpet it stopped at different centimeters per trial.











Test Variable/Independent Variable:

HINT: What was different about your test groups? What did you choose to test?





The difference about the test groups is they flooring, One was Carpet, Other Tile and Table.

I choose to test the ball if it were to stop at the same spot.


Outcome Variable/Dependent Variable:

HINT: What were you measuring? What data did you record?


I measure the ball rolling down the carpet, tile and table which provided me different data for each measuring.








Distance Object Traveled (in centimeters)

Floor Surface

Trial 1

Trial 2

Trial 3

Carpet

30cm

60cm

90cm

Tile floor

13cm

26cm

39cm

table


18cm

18cm


30cm










Floor Surface

Calculation of the Average (show your work)

Average Distance Traveled (answer)

carpet

30+30+30

90




Tile flloor

13+13+13

39




Table


18+18+18


54








Describe in your own words what friction is.


Friction is a force that opposes motion. Friction is basically the resistance of an object rubbing against another, such as a ball rolling down a hill, friction slows it down when rubbed against the grass.


Describe how friction affected the results of your investigation.


Friction slows down the ball if there no friction then it will make the object continue moving without slowing down.





Does an object travel farther on a smooth or slippery surface or on a rough surface? Why?


The object will travel on a slippery surface farther because when it slippery there no friction so it will travel faster.


Propose another experiment that could be used to demonstrate that friction is a contact force.

A hula hoops will twirl around you and it will stay in the air However it will have in upward force on your hips.

Answers

Answer:

just rry

Explanation:

What are the 3 types of POTENTIAL ENERGY?​

Answers

Answer:

nuclear chemical gravitational

What is the method of heat transfer sunlight melts a wax crayon left outside.

Answers

Answer:

Hey Friend....

Explanation:

This is ur answer....

Transfer of energy by electromagnetic waves. Radiation doesn't require matter. Sunlight melting a wax crayon left outside is radiation.

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a parallel plate capacitor has a charge of 6.0 uc when charged by a potenial difference of 1.25 v. what is the capacitance?

Answers

The capacitance of a parallel plate capacitor is 4.8 μF when charged with a potential difference of 1.25 V and a charge of 6.0 μC. In this calculation, the units are consistent.

The capacitance of a parallel plate capacitor can be calculated using the formula C = Q/V, where C is the capacitance, Q is the charge, and V is the potential difference. In this case, the charge is given as 6.0 μC and the potential difference is 1.25 V.

Substituting the given values into the formula, we have C = (6.0 μC) / (1.25 V). To simplify the units, we convert microcoulombs to coulombs by dividing by 10⁶, which gives C = (6.0 × 10⁻⁶ C) / (1.25 V).

Evaluating the expression, we find C = 4.8 × 10⁻⁶ F. Therefore, the capacitance of the parallel plate capacitor is 4.8 microfarads.

It is important to note that in this calculation, the units are consistent. The charge is in coulombs, the potential difference is in volts, and the capacitance is in farads.

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part b what is the direction of this potential difference? that is, does the potential increase or decrease along the direction of the current?

Answers

To maintain the original flux, induced current is in the direction of original current. Hence, potential difference will increase in the direction of current.

Does potential decrease or increase in the direction of current?

In the direction of the electric field, electric potential decreases because electric potential is the work done against the direction of electric field.

The direction of an electric current is the direction in which a positive charge would move and electric current flows from higher to lower electric potential.

If a charge is moving in the direction that it would normally move, then its electric potential energy is decreasing. If a charge is moved in a direction opposite to that it would normally move, then its electric potential energy is increasing.

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How do the lungs help maintain the body's pH
balance?

Answers

Answer:by removing carbon dioxide from the body

Explanation:

I just got it right

Light travels from air, index of refraction of 1.00, and is incident on water, index of refraction of 1.33. How will the light refract when it enters the water?

Answers

Answer:

23.8 What is the speed of light in water (n = 1.33)? ... 23.14 Two light pulses are emitted simultaneously from a source. ... The index of refraction for ice is 1.305 ... reflection so all of it is reflected with an angle of reflection of 53° and none of it is refracted into the air. ... For a diamond in air (n2 = 1.00), then, the critical angle is.

Explanation:welcome

calculate the magnitude of the effort in the given​

calculate the magnitude of the effort in the given

Answers

Moment = Force x Distance from pívot
500x0.5=2.5 x effort
250= 2.5 x effort
effort = 250/2.5= 100N
Other Questions
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