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The change in gravitational potential energy (you should report the absolute value) of a 2.51 kg object which is displaced vertically a distance of 3.07 meters is ____J.

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Final answer:

To find the absolute value of the change in gravitational potential energy, use the formula PE = mgh. For an object of mass 2.51 kg raised 3.07 meters, the change in potential energy is 75.88 J.

Step-by-step explanation:

To calculate the change in gravitational potential energy of the object, we use the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the change in vertical height. In this case, the mass m is 2.51 kg, g is 9.80 m/s² (the standard acceleration due to gravity on Earth's surface), and the change in height h is 3.07 meters.

Let's plug the values into the formula:

PE = (2.51 kg) × (9.80 m/s²) × (3.07 m)

PE = 75.87686 J

The absolute value of the change in gravitational potential energy for the object is 75.88 J (rounded to two decimal places).

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