A 30 N rock falls from a 40 m cliff. At what point during its fall are its
potential and kinetic energies equal?

Answers

Answer 1

Answer:

Both energies are equal when the rock has fallen 20 m or equivalently when it is at a height of 20 m.

Explanation:

Potential and Kinetic Energy

The gravitational potential energy is the energy an object has due to its height above the ground. The formula is

[tex]U=mgh[/tex]

Where:

m = mass of the object

g = acceleration of gravity (9.8~m/s^2)

h = height

Note we can also use the object's weight W=mg into the formula:

[tex]U=Wh[/tex]

The kinetic energy is the energy an object has due to its speed:

[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]

Where v is the object's speed.

Initially, the object has no kinetic energy because it's assumed at rest.

The W=30 N rock falls from a height of h=40 m, thus:

[tex]U=30*40=1,200 J[/tex]

Since the sum of the kinetic and potential energies is constant:

U' + K' = 1,200 J

Here, U' and K' are the energies at any point of the motion. Since both must be the same:

U' = K' = 600 J

U'=Wh'=600

Solving for h':

[tex]\displaystyle h'=\frac{600}{W}=\frac{600}{30}=20~m[/tex]

Both energies are equal when the rock has fallen 20 m or equivalently when it is at a height of 20 m.


Related Questions

Help please and thank you

Answers

Answer:

B.

Explanation:

A. Is a no, because they the person still has a loan to pay and usually banks will not let people take another loan until the last one was paid in full.

B. This is true, if a person misses a month they get charged with warnings, tax, and fees.

C. This is a chose they don't have to spend their savings.

D. It is not the person's responsibility to take another loan unless it's the pay for the last one.

what are the benefits that you can get from playing volleyball​

Answers

So I played volleyball and the benefits I got was my arm strength got better and I learned how to jump higher

I need this in by tomorrow please help-
Name one or more ways the laws of thermodynamics being harnessed or fought against at the power plant you studied. (A dam) This should be at least two full sentences.

Answers

Answer:

Two fundamental concepts govern energy as it relates to living organisms: the First Law of Thermodynamics states that total energy in a closed system is neither lost nor gained — it is only transformed. The Second Law of Thermodynamics states that entropy constantly increases in a closed system.

Explanation:

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This is another way you could also put it:

First Law of Thermodynamics Energy can be changed from one form to another, but it cannot be created or destroyed. The Second Law of Thermodynamics states that "in all energy exchanges, if no energy enters or leaves the system, the potential energy of the state will always be less than that of the initial state." This is also commonly referred to as entropy. In the process of energy transfer, some energy will dissipate as heat.

A quantity that has both direction and magnitude is known as what

Answers

Answer:

A vector is a quantity that has both magnitude and direction. DEF: A scalar is a quantity that has magnitude but NO direction.

Explanation:

2.
Wind Energy Is Actually An
Indirect Form Of
magnetic energy
solar energy
nuclear energy
electric energy

Answers

wind Engel is actually an
Direct is form of many jdjsjsjkwmsmzsmmsmsmsmmz

A 920-kg compact car moving at 92 m/s has approximately 3,893,440 Joules of kinetic energy. What is the change in kinetic energy if it is moving at 36 m/s?

Answers

Answer:

Change in kinetic energy = 3297280 J

Explanation:

Given that,

Mass, m = 920 kg

Speed of a car, v = 92 m/s

Kinetic energy, K = 3,893,440 J

If the speed of a car, V = 36 m/s

Net kinetic energy is given by :

[tex]K_n=\dfrac{1}{2}mV^2\\\\=\dfrac{1}{2}\times 920\times (36)^2\\\\K_n=596160\ J[/tex]

The change in kinetic energy = 3,893,440 - 596160

= 3297280 J

So, the change in kinetic energy of the car is 3297280 J.

Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.
3 kg: kJ
6 kg: kJ
9 kg: kJ

Answers

Answer: 3kg: 14.7 6kg: 29.4 9kg: 44.1

Explanation: just did it on Edge

Answer:

Explanation:

3 kg 14.7

6kg 29.4

9kg 44.1

why did earth most likely form into distinct, separate layers? (HELP ASAP PLZ)

Answers

Answer:

The stratification of Earth into its geologic layers was brought about by the formation of the Earth's iron core. The iron core was generated by a combination of radioactive decay and gravitation, which raised the temperature enough for molten iron to form. The migration of molten iron to the center of the Earth displaced the less dense materials toward the surface.The early Earth needed lots of energy to trigger the creation of molten iron. Some of this energy came from radioactive decay. Radioactive elements such as uranium and thorium give off heat when they decay. Radioactive elements were present in greater amounts in the early Earth. The radiation emitted by these elements increased the temperature of the Earth by roughly 2,000 degrees Celsius (about 3,600 degrees Fahrenheit).Gravitational forces both helped the iron accumulate in the center of the Earth and helped generate additional temperature. As the early Earth compacted into a planet thanks to gravity, this compaction gave off heat. As a result, gravitational energy helped raise the temperature of the Earth by an additional 1,000 degrees Celsius (about 1,800 degrees Fahrenheit). In turn, this temperature increase helped sustain the presence of molten iron at the Earth's core.

Explanation:

The hotter temperature in the mantle make the tectonic plates to move apart and form distinct layers. Hence, option C is correct.

What is tectonic movement ?

The rocky mantle's base is heated by the core of earth . Buoyancy forces attempt to drive the hottest rocks upward when the densest rock near the mantle's bottom becomes slightly less dense than the somewhat cooler rock above it.

Despite being solid, the rock in the mantle can progressively distort like hot wax because of the intense pressure and heat. As a result, the heated rock gradually pushes through the colder rock.

Cooler rock flows downward to occupy the space near to the core as the hot rock rises, where it gets heated and becomes buoyant enough to rise again later. Near the surface of the Earth, the rising hot rock comes into touch with certain cold rocks, emitting heat, cooling, and lead to the tectonic movement.

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Felix connects a wire coil to an ammeter and moves a bar magnet around the
outside of the coil. He wants to show that a moving magnet can cause an
electric current in a wire. Which change should Felix make so that the
ammeter will detect a current?
A. He must arrange the connecting wire in the correct direction.
B. He must rotate the magnet as it moves around the wire coil.
C. He must move the magnet along the connecting wires.
D. He must move the magnet through the inside of the wire coil.

Answers

Answer: C.

He must move the magnet through the inside of the wire coil.

Explanation:

To detect a current Felix must move the magnet around wire coil. This magnetic field around the wire make the electrons mobile and creates an electrical current. Hence. option B is correct.

What is magnetically induced current?

Electricity can be  created using magnetic' characteristics. Electrons are pushed and pulled by moving magnetic fields. Electrons in metals like are loosely held in their valence shell. Hence they can be transited easily.

The electrons in the wire are pushed when a magnet is moved around it or when a coil of wire is moved around a magnet, producing an electrical current. Kinetic energy, or the energy of motion, is effectively transformed into electrical energy via electricity generators.

The coil of metallic wire can produce a magnetic field in turn also. This is what called the electromagnetic induction. Therefore moving the bar magnet around the coil generates an electric current and results in a deflection in ammeter.

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A child is sitting on a merry-go-round 2.8 m from the
center. If the tangential velocity of the ride is 0.89 m/s,
what is the centripetal acceleration of the dragonfly?
A. 0.11 m/s2
C. 0.32 m/s2
B. 0.28 m/s2
D. 2.2 m/s2

Answers

Umm b I think. Sorry if it’s wrong

A net force of 34 N is applied to accelerate an object at a rate of 2.5 m/s. What is the mass of the object?

Answers

Answer:

mass = 13.6 kg

Explanation:

F = m * a

34 = m (2.5)

m = 34 / 2.5

m = 13.6 kg

Your little brother just learned to ride his new bike. If he travels 5.0 m in 130 s, what is his
average speed?

Answers

26 seconds per meter

Answer:

0.038m/s

Explanation:

5.0/130=0.038m

Given that on the moon g = 1.6 m/s2, and on Earth g = 9.8 m/s2, if a car on the moon weighs 3.8 N, what is its mass on Earth?

Answers

Weight = m • g

On the moon, 3.8N = m • 1.6 m/s^2

m = 3.8 / 1.6

m = 2.38 kg

Anywhere !

Everywhere !

20 POINTS & GIVING BRAINSLET IF ITS CORRECT.

DUE IN LESS THAN 5 MINUTES PLEASE HELP AND EXPLAIN.


sorry for the quality.

Answers

Answer:

it is d all of the above your welcome


3. What factors can contribute to an infant's ability to develop sensory competencies?

Answers

Answer:

Explanation:

Here's how to stimulate your baby's senses in age-appropriate ways:

Decorate the nursery with colorful, bold patterns. ...

Play hand games. ...

Use "baby talk." Studies have shown that the sing-song, fluctuating tones mothers use to talk to their babies are important for language development. ...

Hold your baby as much as possible.

Calculate the force needed to bring a 1,019-kg car to rest from a speed of 29 m/s in a distance of 118 m

Answers

Acceleration = ▵v/▵t
Time = d/v
Fisrt calculate time : ( 118/29 ) = 4 seconds
Then calculate acceleration
A = 29/4 = 7.25 m/s²
Now the force.
Force = mass * acceleration.
F= 1,019 * 7.25
F= 7,387 N

A plastic rod is rubbed with a piece of wool, and a glass rod is rubbed with a piece of silk. An object is placed near the plastic rod, and an attractive force is detected. How will the object react when near the glass rod?

.A repulsive force will occur
.B.An attractive force will occur
.C.A neutralization will occur
.D.An electric discharge will occur

Answers

Answer:

B

Explanation:

An attractive force will occur between the plastic rod and nearby object.

What happen when opposite charged bodies come close together?

An object is placed near the plastic rod, and an attractive force is detected then the object react when near the glass rod due to presence of attractive force between them. Attraction occurs between two bodies or objects when there is presence of opposite charges on both objects.

So we can conclude that an attractive force will occur between the plastic rod and nearby object.

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How is a pitch that is heard when waves are closely spaced together described?

A.the same as when waves are spaced far apart

B.high

C.low​

Answers

Answer:

The answer is high

Explanation:

I just took the test :))

Higher frequency and higher pitch are produced by sounds with shorter wavelengths. So, long waves sound low and short waves sound high.

What are wave properties?

Physical characteristics of waves, such as transmission, reflection, polarization, diffraction, and refraction, are examples of wave attributes.

Waves are described mathematically using terms like wavelength, frequency, and amplitude.

Sound and light are two examples of common waves we encounter. Whether you're discussing waves or vibrations.

All of them may be classified according to the following four factors: amplitude, wavelength, frequency, and speed.

According to the graph, pitch perception is influenced by tone strength; below 1000 Hz, pitch tends to decrease with increasing loudness, and beyond 1000 Hz, pitch tends to increase.

Therefore, high pitch that is heard when waves are closely spaced together.

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Which sequence does
the energy transformation in an automobile engine.

Answers

Answer:

Mechanical

Explanation:

what is weight training

Answers

Answer:

You lift weights and train on a daily basis?

Explanation:

Max and his friend want to ride in the front car of a roller coaster. What happens to the car's kinetic energy as the roller coaster car is pulled to the top of the first big hill?

A.
Its kinetic energy is released into the air at the top of the hill.

B.
Its kinetic energy is added to the potential energy to give it twice as much speed.

C.
Its kinetic energy is converted to potential energy at the very top of the hill.

D.
Its kinetic energy is transferred to the wheels so it can roll quickly down the hill.

Answers

Answer:

KE =1/2mv^2

Explanation:

KE depends upon movement of the body

A generator is known to have 30V of potential difference with a charge of 8.5C. What is the energy produced by the generator?

Answers

Answer:

255J

Explanation:

Given parameters:

Potential difference  = 30V

Charge  = 8.5C

Unknown:

Energy produced by the generation = ?

Solution:

The energy produced by the generator can be derived using the expression below;

 Energy = qV

q is the quantity of charge

V is the potential difference

          Insert the parameters and solve;

  Energy  = 8.5 x 30  = 255J

pls help me i’m begging u

Answers

Answer:

First one: False. Second one: decrease. Third one: decreased

Explanation:

For the first one, potato chips will make the floor more slippery than just regular tile. Second one, if the force holding the 2 things together decreases, the friction will decrease as well. For the third one, if water is over the floor, it makes it even more slippery.

Hope this helps!

Answer:

1:False 2:Decrease 3:Decrease

If a function consumes current velocity (v) and acceleration (a), then the next velocity (next-v) can be calculated.

v + a
v * a
a / delta-t
v + (a * delta-t)

Answers

Answer:

v+(a*delta-t)

Explanation:

Answer:

v+(a*delta-t)

Explanation:

An increase in the energy of the wave________the amplitude of the wave.

Answers

Answer:

Increases the amplitude of the wave.

A example of an energy conversion from kinetic to thermal energy would be....
A. friction
B. television
C.flower
D.gravity​

Answers

Answer:

I would have to say C, friction

Explanation:

Thermal means heat, and friction causes heat. Good luck!

When a wave is absorbed by a medium, its energy is transferred to the medium. The energy is most often transformed into thermal energy. What measurement could you make to confirm the transfer and transformation of wave energy?

Answers

Answer:

TEMPERATURE

Explanation:

When a wave is absorbed by a material medium, different phenomena occur, but the collisions with the other particles causes the energy to be transformed into internal energy in the atoms and molecules of the material, with TEMPERATURE measurements the increase in the internal energy of the material.

Una mujer sale de su casa, camina 650 m al Oeste y luego 500 m al Norte hasta llegar al centro comercial donde va a realizar sus compras. Calcular: a) distancia total recorrida y b) magnitud y dirección de su desplazamiento resultante.

Answers

Answer:

Explanation:

De la información dada:

La distancia total recorrida= 650 m + 500 m

La distancia total recorrida= 1150 m

La magnitud se puede calcular utilizando el teorema de Pitágoras.

a² = b² + c²

a² = 500² + 650²

a² = 250000 + 422500

a² = 672500

a = [tex]\sqrt{672500}[/tex]

a = 820 m

La dirección del desplazamiento resultante es la dirección noreste desde el punto de partida.

pls help me pls i’m begging u

Answers

Answer: Rolling Friction

Explanation:A rolling ball stops because the surface on which it rolls resists its motion. A rolling ball stops because of friction.

4.
If you lift a 30 kg weight 0.5 meters. How much Potential energy has it
gained?
Note:- Use g = 10 m/s?
a 150 J
b 60 J
C 180 J
d 100 J

Answers

Answer:

150 J

Explanation:

here, m= 30kg

height = 0.5 m

so

potential energy = mgh

= 30×10×0.5= 30×5

= 150 J

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