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If Sara has a mass of 60 kg and lives on the fifth floor of her
apartment 18 m above the ground, then what is her
gravitational potential energy?
Use g=9.81 m/s2 for the acceleration due to gravity.

Sagot :

nuhulawal20

The gravitational potential energy of Sara at the given height is 10594.8J.

Given the data in the question;

  • Mass of Sara; [tex]m; = 60kg[/tex]
  • Distance from ground; [tex]h = 18m[/tex]
  • Acceleration due to gravity; [tex]g = 9.81m/s^2[/tex]
  • Gravitational potential energy; [tex]U = \ ?[/tex]

Gravitational Potential Energy

Gravitational potential energy is the potential energy an object with mass posessses relative to another object with mass due to gravity.

It is expressed as;

[tex]U = mgh[/tex]

Where m is mass, h is height and g is acceleration due to gravity.

To determine the gravitational potential energy of Sara, we substitute our given values into the expression above.

[tex]U = mgh\\\\U = 60kg * 9.81m/s^2 * 18m\\\\U = 10594.8kgm^2/s^2\\\\U = 10594.8J[/tex]

Therefore, the gravitational potential energy of Sara at the given height is 10594.8J.

Learn more about gravitational potential energy: https://brainly.com/question/3910603

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