Question

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.

Answer 1

He loses 720 J for every metre he descends

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Further explanation

Let's recall Kinetic Energy Formula as follows:

$\boxed{Ek = \frac{1}{2}mv^2}$

Ek = Kinetic Energy ( Joule )

m = mass of the object ( kg )

v = speed of the object ( m/s )

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$\boxed{Ep = mgh}$

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 :

$Ep = m g h$

$Ep = 72 \times 10 \times 1$

$Ep = 720 \texttt{ J}$

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Conclusion:

He loses 720 J for every metre he descends

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Learn more

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

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Answer details

Grade: High School

Subject: Physics

Chapter: Energy

Answer 2

Answer:

720 J

Explanation:

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

$\Delta U=mg \Delta h$

where

m=72 kg is Essam's mass

$g=10 N/kg$ is the gravitational field strength

$\Delta h=1 m$ is the difference in height

By substituting the numbers into the formula, we find

$\Delta U=(72 kg)(10 N/kg)(1 m)=720 J$