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).