(1) PLAY 14 A 350 kg piano is on the third floor of an apartment building. Find the gravitational potential energy of the piano relative to the sidewalk outside the building, 7.8 meters below the piano. You are on planet Earth, so you will need to use the acceleration due to gravity on planet earth to help you solve (AKA " g "). .

To find the gravitational potential energy (GPE) of the piano, you can use the formula: GPE = m * g * h, where m is the mass (350 kg), g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height (7.8 m). Plugging in the numbers, GPE = 350 kg * 9.81 m/s² * 7.8 m, which gives you a GPE of about 27,013.5 joules. That's a hefty amount of energy just waiting to be released if that piano were to take a tumble! Interestingly, this concept of gravitational potential energy isn’t just a boring physics principle—it has real-world implications! Think about roller coasters: the higher they climb, the more GPE they accumulate. That energy transforms into kinetic energy as they descend, contributing to the thrill of the drop. So, the next time you scream on a roller coaster, remember that it’s all about the gravitational potential energy turning into a thrilling ride!