This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's how to calculate the potential energy: The formula for gravitational potential energy (GPE) is: GPE = mgh where: • m is the mass of the object • g is the acceleration due to gravity (approximately 9.8 m/s^2) • h is the height of the object above a reference point Given: Mass (m) = 200 kg Initial height (h_0) = 200 m Acceleration due to gravity (g) = 9.8 m/s^2 a) Potential energy at 0 seconds Step 1: Determine the height at 0 seconds. At 0 seconds, the rock has just been dropped, so it is still at its initial height. h = 200 m Step 2: Calculate the potential energy using the formula. GPE = mgh GPE = (200 kg) × (9.8 m/s^2) × (200 m) GPE = 392000 J The potential energy at 0 seconds is 392000 J. b) Potential energy just before hitting the ground Step 1: Determine the height just before hitting the ground. Just before hitting the ground, the height (h) is approximately 0 m. h = 0 m Step 2: Calculate the potential energy using the formula. GPE = mgh GPE = (200 kg) × (9.8 m/s^2) × (0 m) GPE = 0 J The potential energy just before hitting the ground is 0 J. 3 done, 2 left today. You're making progress.