The change in gravitational potential energy is 9653 J
Explanation:
The gravitational potential energy is the energy possessed by an object due to its position in the gravitational field. For an object near the Earth's surface, the change in gravitational potential energy is given by
[tex]\Delta U = mg \Delta h[/tex]
where
m is the mass of the object
g is the acceleration of gravity
[tex]\Delta h[/tex] is the change in height of the object
For the couch in this problem, we have:
m = 120 kg is its mass
[tex]g=9.81 m/s^2[/tex]
[tex]\Delta h = 8.2 m[/tex] is the change in height
Solving the equation, we find:
[tex]\Delta U = (120)(9.81)(8.2)=9653 J[/tex]
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