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An 80-kg hiker climbs to the top of a tall hill and builds up 470,000 j of gravitational potential energy. how high did the hiker climb? round the answer to the nearest hundred. meters

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Nandhitha1098

Answer: An 80 kg hiker climbs to the top of a tall hill and builds up 470000J of gravitational potential energy. With this energy, he can climb up to 600m of Hight.

Explanation: To find the answer, we need to know about the Gravitational potential energy.

What is the gravitational potential energy?

  • Gravitational potential energy can be defined as, the potential energy associated with a gravitational field.
  • It has an expression,

                    [tex]U=mgh[/tex]

  • where,

U is the gravitational potential energy, m is the mass of the body, g is the acceleration due to gravity and h is the height.

How to solve the problem?

  • As we know that the expression of height from the expression of gravitational potential energy as,

                      [tex]h=U/mg[/tex]

  • We have, [tex]m=80kg[/tex] , [tex]U=470000J[/tex] and [tex]g=9.8 m/s^{2}[/tex] .
  • Substituting these into the equation, we get, height as,

                        [tex]h=470000/(80*9.8)=599.98=600 m[/tex]

Thus, from the above calculation, we can conclude that, he can climb up to 600m of Hight.

Learn more about the Gravitational potential energy here:

https://brainly.com/question/28020732

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