Respuesta :

Considering the equation for gravitational potential energy, PE=mgh, where m as mass, g as the acceleration due to gravity, and h has the height.

Substituting the numbers given, you’ll get (taking g as 9.81)

PE = 5 x 9.81 x 10

PE = 490.5 J

Therefore the gravitational potential energy will be 490.5 J

The gravitational potential energy of the object when it is [tex]10m[/tex] off the ground is 490 Joules.

Given the data in the question;

  • Mass of object; [tex]m = 5kg[/tex]
  • Height; [tex]h = 10m[/tex]

Gravitation potential energy; [tex]P.E_g = \ ?[/tex]

Potential energy is the energy an object posses due to its position relative to other objects. It is expressed as:

[tex]P.E = mgh[/tex]

Where m is the mass of the object, h is its height and g is gravitational acceleration on earth. ( [tex]9.8m/s^2[/tex] )

We substitute our values into the equation

[tex]P.E_g = 5kg * 9.8m/s^2 * 10m\\\\P.E_g = 490kg.m^2/s^2\\\\P.E_g = 490J[/tex]

Therefore, gravitational potential energy of the object when it is [tex]10m[/tex] off the ground is 490 Joules.

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