Understanding the Concepts

* Weight: The force of gravity acting on an object's mass. It's measured in Newtons (N).

* Mass: The amount of matter in an object. It's measured in kilograms (kg).

* Gravitational Acceleration (g): The acceleration due to gravity, which is the rate at which objects fall freely towards the center of a planet or other celestial body. It's measured in meters per second squared (m/s²).

Formula

The relationship between weight, mass, and gravitational acceleration is:

Weight (W) = Mass (m) × Gravitational Acceleration (g)

Solving the Problem

1. Identify the knowns:

* Mass (m) = 3 kg

* Weight (W) = 9 N

2. Rearrange the formula to solve for g:

g = W / m

3. Substitute the known values:

g = 9 N / 3 kg

4. Calculate the gravitational acceleration:

g = 3 m/s²

Answer: The gravitational acceleration on Planet X is 3 m/s².