Final answer:
The 2.5 kg book at 4 meters height has a gravitational potential energy (GPE) of 98 J, which is greater than the GPE of the 1 kg paperweight at 8m height, which is 78.4 J.
Step-by-step explanation:
The question asks to compare gravitational potential energy (GPE) between two objects at different heights.
The formula to calculate GPE is GPE = m × g × h, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s2), and h is the height above the reference point.
For the 2.5 kg book at 4 meters, the GPE is:
- GPE = 2.5 kg × 9.8 m/s2 × 4 m
- = 98 J (joules)
For the 1 kg paperweight at 8m in height, the GPE is:
- GPE = 1 kg × 9.8 m/s2 × 8 m
- = 78.4 J (joules)
Thus, the 2.5 kg book has more gravitational potential energy than the 1 kg paperweight.