Which statement best compares potential and kinetic energy?

Objects always have more potential energy than kinetic energy.
Kinetic energy increases and potential energy decreases when the velocity of an object increases.
Only potential energy decreases when an object’s height increases.
Objects always have more kinetic energy than potential energy.

Respuesta :

Answer:

Its B) Kinetic energy increases and potential energy decreases when the velocity of an object increases.

Explanation:

because i took the test on edge 2020

Taking into account the definition of kinetic, potencial and mechanical energy, the tatement that best compares potential and kinetic energy is: Kinetic energy increases and potential energy decreases when the velocity of an object increases.

Kinetic energy

Kinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion.

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.

The kinetic energy is represented by the following expression:

Ec= ½ mv²

Where:

  • Ec is the kinetic energy, which is measured in Joules (J).
  • m is the mass measured in kilograms (kg).
  • v is the speed measured in meters over seconds (m/s).

Potential energy

Potential energy is the energy that measures the ability of a system to perform work based on its position.

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 as follow:

Ep= m×g×h

Where:

  • Ep is the potential energy in joules (J).
  • m is the mass in kilograms (kg).
  • h is the height in meters (m).
  • g is the acceleration of fall in m/s² (approximately 9.81 m/s²).

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

Principle of conservation of 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.

Statement best compares potential and kinetic energy

Taking into account the definition of kinetic energy, when the velocity of an object increases the kinetic energy increases.

Therefore, considering the principle of conservation of mechanical energy, the potential energy decreases.

So, the correct answer is the second option:  Kinetic energy increases and potential energy decreases when the velocity of an object increases.

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