Question

If an airplane with a mass of 4,536 kg has gravitational potential energy of 1000 kilojoules, what is its height?

Answer 1

The height is 22,472.84 m

Step-by-step explanation:

Gravitational potential energy is the type of energy that is stored in the gravitational field. In other words, the gravitational potential energy as the energy that a body possesses due to the fact of being under the action of gravity, that is, the energy associated with an object subjected to force, weight, and weight is called gravitational potential energy. that is at a certain height with respect to a reference level.

The greater the weight of a body, the greater the gravitational potential energy and, considering the effect of this variable together with that of the height h at which the object is, the gravitational potential energy is:

Ep = m*g*h

In this case:

• Ep= 1,000 kJ= 1,000,000 J (being 1 kJ=1,000 J)
• m=4.536 kg

• g= 9.81
  `(m)/(s^(2) )`

• h=?

Replacing:

1,000,000 J=4.536 kg* 9.81
`(m)/(s^(2) )` *h

Solving:

`h=(1,000,000 J)/(4.536 kg*9.81(m)/(s^(2) ) )`

h= 22,472.84 m

The height is 22,472.84 m