Answer :
Final answer:
The box's mass, calculated using its potential energy and height, is approximately A. 2.56 kg.
Explanation:
The question is asking for the mass of the box based on its potential energy and height. The formula for gravitational potential energy is PE = mgh, where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height. Given that the potential energy is 407 J and the height is 159 m, and knowing the acceleration due to gravity is approximately 9.8 m/s², we can rearrange the formula to solve for mass: m = PE / (g * h).
Substitute the known values into this equation: m = 407 J / (9.8 m/s² * 159 m). Calculating gives a result of approximately 2.56 kg. Therefore, the box's mass is 2.56 kg, option A.
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