A closed system consists of a pendulum that is swinging back and forth. If
the pendulum's kinetic energy decreases, what else must happen to the
energy of the system?
a
A. Its gravitational potential energy must decrease.
B. Its total mechanical energy must increase.
O C. Its total mechanical energy must decrease.
O D. Its gravitational potential energy must increase.

Answers

Answer 1

Answer:

The correct choice is D. Its gravitational potential energy must increase

Explanation:

Conservation of Mechanical Energy

The total amount of mechanical energy, in a closed system in the absence of dissipative forces like friction or air resistance, remains constant.

This means that energy cannot disappear or appear and that potential energy can become kinetic energy or vice versa.

In a closed system like a pendulum, two types of energies are considered: Gravitational potential (U) and kinetic (K). Thus, the sum of both energies must remain constant in time.

Suppose the pendulum is at a state where U=150 J, and K=350 J. The total mechanical energy is:

M = 150 J + 350 J = 500 J

If the kinetic energy decreases to a new value, say K = 200 J, then the gravitational potential must increase to compensate for this new condition, that is: U = 300 J

The correct choice is D. Its gravitational potential energy must increase

Answer 2

Taking into account the definition of kinetic, potencial and mechanical energy, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and at rest, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.

Potential energy

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

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 force of gravity.

Mechanical energy

Finally, mechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position, and which is capable of producing mechanical work. Then:

Potential energy + kinetic energy = total mechanical energy

The principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative (a force is conservative when the work it does on a body depends only on the initial and final points and not the path taken to get from one to the other.)

Therefore, if the potential energy decreases, the kinetic energy will increase. In the same way, if the kinetics decreases, the potential energy will increase.

This case

This principle can be applied in this case. The mechanical energy of the pendulum remains constant when all the forces acting on it are conservative.

So, the correct answer is option D:  If  the pendulum's kinetic energy decreases Its gravitational potential energy must increase.

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Related Questions

Which of the following scenarios is possible for the resultant velocity of an airplane in a strong wind to be 150 m/s?

A. The wind is blowing at 10 m/s. The airplane is flying against the wind at 140 m/s.

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

C. The wind is blowing at 200 m/s. The airplane is flying with the wind at 50 m/s.

D. The wind is blowing at 50 m/s. The airplane is flying against the wind at 100 m/s.​

Answers

Answer:

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

Explanation:

From Physics we get that resultant velocity of an airplane is the sum of an absolute velocity and a relative velocity, that is:

[tex]\vec v_{A} = \vec v_{W}+\vec v_{A/W}[/tex] (Eq. 1)

Where:

[tex]\vec v_{W}[/tex] - Wind velocity, measured in meters per second.

[tex]\vec v_{A/W}[/tex] - Airplance velocity relative to wind, measured in meters per second.

[tex]\vec v_{A}[/tex] - Airplane velocity, measured in meters per second.

If we assume that [tex]\vec v_{W} = 20\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex] (The airplane flies with the wind), [tex]\vec v_{A/W} = 130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex], then the resultant velocity of the airplane is:

[tex]\vec v_{A} = 20\,\hat{i}+130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]

[tex]\vec v_{A} = 150\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]

Therefore, correct answer is B.

Answer:

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

Explanation:

Which of these chemical properties of a sheet of paper

Answers

Answer:

Paper is created mainly from organic compounds such as oxygen, carbon, hydrogen. Paper has non-organic compounds also for improving the properties.

Please mark as brainliest.

First to answer.

i need help with #3 plz and thank you

Answers

Number 1 the correct answer

How can a small boy balance a big boy
on asea- saw ? Show with a diagram​

Answers

Answ

— How can a small boy balance a big boy on a sea-saw? Show with a diagram. fast please...... Get the answers you need, now!

2 answers

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Explanation:

A care package is dropped from an airplane flying at 1000 m above sea level with a velocity of 200 m/s to an island. If it takes the package 15s to fall how far away from the island must the package be dropped?

Answers

Answer:

3000

Explanation:

a positive charges is brought closer to another positive charge .Explain what happened to the Electric potential as both charges are brought closer together ​

Answers

The potential energy goes up.
When like charges get closer, potential energy increases.

In your own words, explain the difference between a conductor and an insulator.
(4th grade)

Answers

Answer: There are different kinds of conductors, most notably electrical and thermal conductors. But they are often inclusive of each other (electrical conductors are typically good thermal conductors). A conductor transmits something through its body with high efficiency while an insulator does not transmit very well. In the case of electricity, a conductor transmits electrical energy between two points while an insulator blocks the flow of electricity. Two examples of conductors are copper and silver. Two examples of insulators are wood and styrofoam.

Explanation:

I hope y'all can read this I need help​

Answers

Answer:

its basically on where u live is more hot or cold. Is rain and snow common or uncommon. where is this. is it easier to live or harder to live wherever u live at. list 12 different organisms in the place u live. and one fun fact its basically about what u see where u in the city u live

What is the legal height the player is allowed to serve from a. Above the waist B. Below the waist C. On the waist D. above the chest

Answers

Answer: Option B.

Explanation:

I guess that this refers to the Badminton rules, particularly to the position of the racket (or the head of the racket, where the "head" is the part with the net, that you use to hit the shuttle) when serving.

The head of the racket must be swung from below your waist. So the head of the racket must be below your waist before you do the service (With a part of the head is enough).

Then the correct option is B. Below the waist.

On an icy day, you worry about parking your car in your driveway, which has an incline of 12º. Your neighbor's driveway has an incline of 9.0º, and the driveway across the street is at 6.0º. The coefficient of static friction between tire rubber and ice is 0.15. Which driveway(s) will be safe to park in?

Answers

Answer:

Driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.

Explanation:

Let suppose that car is represented by a particle, then we proceed to construct its free body diagram and corresponding equations of equilibrium:

[tex]\Sigma F_{x'} = f - W\cdot \sin \theta = 0[/tex] (Eq. 1)

[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (Eq. 2)

Where:

[tex]f[/tex] - Static friction force, measured in newtons.

[tex]N[/tex] - Normal force on the car from the ground, measured in newtons.

[tex]W[/tex] - Weight of the car, measured in newtons.

[tex]\theta[/tex] - Driveway inclination, measured in sexagesimal degrees.

By applying definitions of maximum static friction force and weight, we expand the system of equations presented above:

[tex]\mu_{s}\cdot N -m\cdot g\cdot \sin \theta = 0[/tex] (Eq. 1b)

[tex]N - m\cdot g \cdot \cos \theta = 0[/tex] (Eq. 2b)

Where:

[tex]\mu_{s}[/tex] - Static coefficient of friction, dimensionless.

[tex]m[/tex] - Mass of the car, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

Then, we substitute normal force and simplify the resulting expression:

[tex]\mu_{s}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]

[tex]\mu_{s} = \tan \theta[/tex]

[tex]\theta = \tan^{-1}\mu_{s}[/tex] (Eq. 3)

Based on such result, we can conclude that if driveway inclination is greater than value reported, then car shall not be safe in case of parking. Our reference angle is: ([tex]\mu_{s} = 0.15[/tex])

[tex]\theta = \tan^{-1} 0.15[/tex]

[tex]\theta \approx 8.531^{\circ}[/tex]

By direct comparison, we find that driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.

Two dimensional motion

Answers

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Why is the unit of momentum called derived unit​

Answers

Answer:

the SI unit of momentum is :- kg.ms-1

and we know that,

kinetic energy = 1/2 mv2

E=p2/2m

p=(2Em)1/2

so the derived units are (J.kg)1/2

Explanation:

Which statement best describes what Kendall can do?

Answers

Answer: Explanation:

She can measure the volume and mass of the marble, the volume and mass of the water, and the volume and mass of the graduated cylinder. She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.

WILL REWARD brief history of nuclear power. inventors and or who discovered nuclear power and when it was first used.

Answers

Answer:

1951 an experimental nuclear reactor in Arco, Idaho, produces enough electricity to power for light bulbs...... 1954 the atomic energy act authorizes development of nuclear energy for a civilian use.1957 first commercial nuclear-powered Generating Station is built in the shippingport,Pa.

Explanation:

● Enrico Fermi was the one who discovered nuclear power.

● nuclear power was first used

[ December 20, 1951]

Describe the stratosphere.
What happens to the air pressure when you get closer to Earth?
What are the layers of the atmosphere?

Answers

1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.

2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.

3. Here are the layers of the atmosphere:

TroposphereStratosphereMesosphereThermosphereExosphere

Hope this helps you!

PLEASE HELP!
Which action is an example of a service provided by an organization that receives charitable donations?
A. researching vaccinations
B. advertising new medications
C. contracting to install waiting area carpeting
D. selling hospital supplies for a privately owned company

Answers

Answer:

A

Explanation:

Source: Trust me bro

Giving is a kind deed. Giving back to people in need allows you to grow personally and gives you a higher sense of fulfilment. It also makes you feel good to serve others. Thus, option A is correct.

What charitable donations in researching vaccinations?

Donations to non-profit organizations are considered charitable contributions. Donations may take the form of cash, non-monetary goods, in-kind services, or volunteer time. According to IRS rules, the donation may be tax-deductible.

If you itemize your deductions, you may deduct gifts of money or other property provided to qualifying organizations for charitable purposes. In general, you can deduct up to 50% of your adjusted gross income, but in some circumstances, there are 20% and 30% limitations.

Therefore, A contribution is a gift given to a cause, humanitarian organization, or charity. A donation can come in many ways, such as cash, alms, services, or tangible objects like furniture, toys, food, or automobiles. A donation could meet a demand for transplantable organs or blood.

Learn more about charitable donations here:

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Is anyone a boy here lol?

Answers

Answer:

yes there are a lot of boys on this platform

Which of the following is a correct example of the current in a light bulb?
60 Joules
60 Volts
60 Watts
60 Amperes

Answers

Answer:

60 Amperes

Explanation:

current is the main factor, so current is measured in Amperes

What is the direction of the net force that acts on an object undergoing uniform circular motion?
A. The direction of the force is opposite to the object's motion.
B. The direction of the force is the same as the object's motion.
C. The direction of the force is away from the center ot the object's circular path.
D. The direction of the force is toward the center of the object's circular path.​

Answers

Answer B. the direction of force is the same

What type of energy comes from the motion of tiny particles of matter?

Answers

answer:

heat

explanation:

Answer: Heat

Explanation: All matter is made of tiny particles called atoms, molecules and ions. These tiny particles are always in motion – either bumping into each other or vibrating back and forth. It is the motion of particles that creates a form of energy called heat (or thermal) energy that is present in all matter

Which process is involved in the formation of a galaxy

Answers

Answer:

SUN

Explanation:

EARTH

the process that is involved in the formation of the galaxy is the sun

What is a non-example of Newton's 3rd law of motion?

Answers

Answer:

Unbalanced forces are not examples of Newton's third law because not all opposite reactions are unbalanced forces.

Explanation:

A girl lifts a ball of 2 kg from the ground up vertically a height of 0.5 meters. How much
work does she do?

Answers

Work = force x distance = 2 x 9,8 x 0.5 = ... Joules

For a substance to change from a gas to a liquid, what must happen to its particles?

Answers

As a gas cools, its particles slow down. When particles move slowly enough for their attractions to bring them together, droplets of liquid form. This process, which is the opposite of vaporization, is called condensation. As a gas condenses to a liquid, it releases the thermal energy it absorbed to become a gas. Answer should be A.

Help! Please: Which is elastic and which is inelastic

Answers

1=inelastic and 2=elastic hope this helps

A gas always spreads out to fill all available space.
True or False
Science Hw

Answers

Answer:

true

Explanation:

i know this im in 6th grade

This is True. Gases spread around freely and take up any available space. For example, there is oxygen. Oxygen is a gas we breathe in and spreads around freely, taking up any space.

10. A flashlight runs on a battery. If the light is left on the battery runs out and the flashlight
stops working. Which claim best describes what has happened to the battery's energy?

Answers

Well I believe the claim is if you use all its energy fr a long period of time it does so the claim is if the light is left on the battery runs out and flashlight stops working

Explain how mass and velocity play a big role in the amount of momentum an object has.

Answers

Answer:

Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.

Answer:

Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.

Explanation:

What should be the ending of the second element in a covalent compound?

-ide
-ium
the prefix
the subscript

Answers

Answer:

-ide

Explanation:

the second element is names by taking the stem of the element name and adding -ide. a system if numerical prefixes is used to specify the the number if atoms in a molecule.

Answer:

A. -ide

Explanation:

PHYSICAL SCIENCE, PLEASE HELP!
Which items are matter?

Answers

Answer:

Mobile phone & battery.

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