Respuesta :

Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

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.

This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain 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 formula:

Ec = ½ mv²

Where:

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

Kinetic energy in this case

In this case, you know:

  • Ec= ?
  • m=  23.2 g= 0.0232 kg (being 1 g= 0.001 kg)
  • v= 81.9 km/h= 22.75 m/s (being 1 km/h= 0.277778 m/s)

Replacing in the definition of kinetic energy:

Ec = ½ 0.0232 g×(22.75 m/s)²

Solving:

Ec= 6.004 J

Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.

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