Understanding the Concepts

* Gravity: The acceleration due to gravity (g) is approximately 9.8 m/s². This means that an object falling freely increases its speed by 9.8 meters per second every second.

* Potential Energy: An object at a height has potential energy due to its position. This potential energy is converted to kinetic energy (energy of motion) as it falls.

* Conservation of Energy: The total mechanical energy (potential + kinetic) of a system remains constant, assuming no energy losses due to friction or air resistance.

Calculations

1. Find the initial velocity (v₀): Since the object starts from rest, its initial velocity is 0 m/s.

2. Find the final velocity (v): You're given that the object hits the ground at 10 m/s.

3. Use the following kinematic equation:

v² = v₀² + 2gh

Where:

* v = final velocity (10 m/s)

* v₀ = initial velocity (0 m/s)

* g = acceleration due to gravity (9.8 m/s²)

* h = height (what we want to find)

4. Solve for h:

10² = 0² + 2 * 9.8 * h

100 = 19.6h

h = 100 / 19.6

h ≈ 5.1 meters

Therefore, the height from which the 1 kg object falls is approximately 5.1 meters.