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Essam is abseiling down a steep cliff. How much gravitational potential energy does he lose for every metre he descends? His mass is 72kg and the gravitational field strength is 10N/kg.

Respuesta :

skyluke89

Answer:

720 J

Explanation:

The gravitational potential energy that Essam loses for every metre is given by:

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

where

m=72 kg is Essam's mass

[tex]g=10 N/kg[/tex] is the gravitational field strength

[tex]\Delta h=1 m[/tex] is the difference in height

By substituting the numbers into the formula, we find

[tex]\Delta U=(72 kg)(10 N/kg)(1 m)=720 J[/tex]

johanrusli

He loses 720 J for every metre he descends

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Further explanation

Let's recall Kinetic Energy Formula as follows:

[tex]\boxed{Ek = \frac{1}{2}mv^2}[/tex]

Ek = Kinetic Energy ( Joule )

m = mass of the object ( kg )

v = speed of the object ( m/s )

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[tex]\boxed{Ep = mgh}[/tex]

Ep = Potential Energy ( Joule )

m = mass of the object ( kg )

g = gravitational acceleration ( m/s² )

h = height position of the object ( m )

Let us now tackle the problem !

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Given:

mass = m = 72 kg

gravitational field strength = g = 10 N/kg

height = h = 1 m

Asked:

gravitational potential energy = Ep = ?

Solution:

We will solve this problem as follows :

[tex]Ep = m g h[/tex]

[tex]Ep = 72 \times 10 \times 1[/tex]

[tex]Ep = 720 \texttt{ J}[/tex]

[tex]\texttt{ }[/tex]

Conclusion:

He loses 720 J for every metre he descends

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Learn more

  • Impacts of Gravity : https://brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
  • The Acceleration Due To Gravity : https://brainly.com/question/4189441
  • Newton's Law of Motion: https://brainly.com/question/10431582
  • Example of Newton's Law: https://brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Energy

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