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What is the kinetic energy of a 4,000 kg elephant that is running at 2 m/s? What is the kinetic energy of the elephant if it running at 4 m/s? How do the two kinetic energies compare with one another?

Sagot :

At 4 m/s?

How do the two kinetic energies compare to one another? QUADRUPLES !

#3 What is the kinetic energy of a 2,000 kg bus that is moving at 30 m/s?

Potential energy
CintiaSalazar

By definition of kinetic energy,

  • the kinetic energy of a 4,000 kg elephant that is running at 2 m/s is 8000 J
  • the kinetic energy of a 4,000 kg elephant that is running at 4 m/s is 32000 J
  • the kinetic energy at a speed of 4 m/s quadruples with respect to the speed of 2 m/s.

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.

Kinetic energy is represented by the following expression:

Ec = ½ mv²

Where Ec is kinetic energy, which is measured in Joules (J), m is mass measured in kilograms (kg), and v is velocity measured in meters over seconds (m/s).

In this case, you know:

  • m= 4000 kg
  • v1= 2 m/s
  • v2= 4 m/s

Then:

Ec1 = ½ mv1²

Ec1=  ½ 4000 kg× (2 m/s)²

Ec1= 8000 J

and

Ec2 = ½ mv2²

Ec2=  ½ 4000 kg× (4 m/s)²

Ec2= 32000 J

You can see that the kinetic energy at a speed of 4 m/s quadruples with respect to the speed of 2 m/s.

In summary:

  • the kinetic energy of a 4,000 kg elephant that is running at 2 m/s is 8000 J
  • the kinetic energy of a 4,000 kg elephant that is running at 4 m/s is 32000 J
  • the kinetic energy at a speed of 4 m/s quadruples with respect to the speed of 2 m/s.

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