An 80-kg hiker climbs to the top of a tall hill and builds up 470,000 J of gravitational potential energy. How high did the hiker climb? Round the answer to the nearest hundred.
The gravitational potential energy (PE) can be calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Rearranging the formula, we get h = PE / (mg).
Substituting the known values, we have h = 470000 J / (80 kg * 9.8 m/s²).
Calculating, h ≈ 600.62 meters.
Rounding to the nearest hundred, the hiker climbed approximately 600 meters.