What is the kinetic energy of a freely falling body?

The kinetic energy of a freely falling body is the energy it possesses due to its motion as it falls under the influence of gravity.

Formula:

Kinetic Energy (KE) = ½ mv²

Where:

• m = mass of the body
• v = velocity of the body at a given time

In Free Fall:

As the body falls:

• Its velocity increases due to acceleration caused by gravity (g ≈ 9.8 m/s²)
• Therefore, its kinetic energy continuously increases

If a body falls from a height h, its velocity just before reaching the ground is:
v² = 2gh

Substituting in KE formula:
KE = ½ m (2gh) = mgh

Key Insight:

• The kinetic energy gained by the body is equal to the loss of potential energy
• This follows the law of conservation of energy

Conclusion:

The kinetic energy of a freely falling body increases as it falls and is given by ½ mv², or mgh just before hitting the ground (neglecting air resistance).