You can't keep an object's acceleration the same if the force acting on it is doubled. This is because of Newton's Second Law of Motion, which states:

Force (F) = Mass (m) x Acceleration (a)

Here's why:

* Direct Proportion: Force and acceleration are directly proportional. This means if one increases, the other must also increase proportionally.

* Constant Mass: If the mass of the object remains constant, to keep acceleration constant, the force must also remain constant.

To maintain the same acceleration when doubling the force, you would need to:

* Double the mass: By doubling the mass, you compensate for the doubled force, keeping the acceleration constant.

Example:

Imagine you have an object with a mass of 1 kg experiencing a force of 2 N. This results in an acceleration of 2 m/s².

* Double the force (4 N): If you double the force, the acceleration will also double to 4 m/s².

* Double the mass (2 kg): If you double the mass while maintaining the force at 4 N, the acceleration will return to 2 m/s².

In conclusion, to maintain the same acceleration, you need to adjust the mass proportionally to the change in force.