The acceleration due to gravity will increase.
Explanation:
* Newton's Law of Universal Gravitation: The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
* Formula: F = G * (m1 * m2) / r^2
* F = Force of gravity
* G = Gravitational constant
* m1 = Mass of the first object (planet in this case)
* m2 = Mass of the second object (e.g., you on the planet's surface)
* r = Distance between the centers of the two objects (radius of the planet in this case)
Why the acceleration increases:
* Increased Mass: When the planet's mass (m1) increases, the force of gravity (F) between the planet and an object on its surface also increases.
* Constant Diameter: Since the diameter remains the same, the distance between the object's center and the planet's center (r) stays constant.
Conclusion:
Because the force of gravity increases and the distance remains the same, the acceleration due to gravity (g = F/m2) will also increase. This means you would experience a stronger pull of gravity on the surface of the more massive planet.
