Answer :
Final answer:
The increase in potential energy of a 4.6 kg box lifted through a height of 2.7 m, considering the average gravitational force of 9.81 m/s², is approximately 123 J, which matches with Option A.
Explanation:
The subject of this question is physics, and it pertains to the concept of potential energy. The increase in potential energy of a box (or any object) lifted through a certain height can be calculated using the formula: Potential Energy = Mass x Gravity x Height.
Since the mass of the box is 4.6 kg, the gravitational force is ~9.81 m/s² (rounded to nearest hundredth to provide the most precise answer), and the box is lifted through a height of 2.7 m, we can plug these values into the formula: Potential Energy = 4.6 kg x 9.81 m/s² x 2.7 m, which equals approximately 121.69 J.
Even though the actual calculation gets this value, selecting the nearest option gives us 123 J, so the answer to the question is option A.
Learn more about Potential Energy here:
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