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A 2 kg picture frame sits on a shelf at a height of 0.5 m. how much gravitational potential energy is added to the picture frame when it is lifted to a shelf of height 1.3 m? acceleration due to gravity is g=9.8 m/s^2

A. 15.68 J
B. 10.23 J
C. 25.48 J
D. 9.80 J

Respuesta :

The change in gravitational potential energy is A) 15.68 J

Explanation:

The gravitational potential energy of an object is the energy possessed by the object due to its position in the gravitational field.

The change in gravitational potential energy of an object is given by the equation:

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

where

m is the mass of the object

[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity

[tex]\Delta h[/tex] is the change in height of the object

In this problem, we have

m = 2 kg is the mass of the frame

[tex]\Delta h = 1.3 - 0.5 = 0.8 m[/tex] is the change in height

Substituting,  we find:

[tex]\Delta U = (2)(9.8)(0.8)=15.68 J[/tex]

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