To calculate the amount of energy required for a 100 kg load to defy gravity on Earth, we need to consider the potential energy associated with the load's height above the ground.
The potential energy (PE) of an object near the surface of the Earth is given by the formula:
PE = mgh
Where:
PE is the potential energy
m is the mass of the object (in kg)
g is the acceleration due to gravity (approximately 9.8 m/s² near the surface of the Earth)
h is the height above the reference point (in meters)
If we assume the reference point is the ground level (h = 0), and we want to calculate the energy required to lift the load to a certain height, we can rearrange the formula to solve for PE:
PE = mgh
Given:
m = 100 kg
g = 9.8 m/s²
h = height (in meters)
Let's calculate the energy required to lift the load to different heights:
1. Lifting the load to a height of 1 meter:
PE = (100 kg) * (9.8 m/s²) * (1 m) = 980 Joules
2. Lifting the load to a height of 10 meters:
PE = (100 kg) * (9.8 m/s²) * (10 m) = 9,800 Joules
3. Lifting the load to a height of 100 meters:
PE = (100 kg) * (9.8 m/s²) * (100 m) = 98,000 Joules
Please note that these calculations assume no energy losses due to friction or other factors and represent the potential energy required to lift the load to the specified height. In practice, additional energy would be needed to overcome friction and other resistive forces.