Final answer:
To determine the gravitational potential energy of a 50kg object held at a height of 100m, use the formula P.E. = mgh, which results in 49000 Joules of energy.
Step-by-step explanation:
The gravitational potential energy of an object is calculated by the formula P.E. = mgh, where m is the mass of the object in kilograms, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth's surface), and h is the height in meters above the reference point. In this example, we have a mass (m) of 50 kg, a gravitational acceleration (g) of 9.8 m/s², and a height (h) of 100 meters.
To calculate the gravitational potential energy at a height of 100m for a 50kg object, use the following steps:
- Identify the given values: mass (m) = 50 kg, gravitational acceleration (g) = 9.8 m/s², height (h) = 100 m.
- Apply the formula P.E. = mgh.
- Calculate the potential energy by substituting the values: P.E. = 50 kg × 9.8 m/s² × 100 m = 49000 Joules (or J).
Therefore, the gravitational potential energy of the object at a height of 100m is 49000 J.