The weight force of an object is given by the formula:
weight force = mass x gravitational acceleration
We know that the object has a mass of 12 kg and a weight force of 588 N on planet X.
Substituting the given values into the formula, we get:
588 N = 12 kg x gravitational acceleration
Solving for the gravitational acceleration:
gravitational acceleration = 588 N / 12 kg
gravitational acceleration = 49 m/s²
Therefore, the gravitational acceleration on planet X is 49 m/s².