This is directly derived from Newton's Second Law of Motion:
F = m * a
where:
* F is force
* m is mass
* a is acceleration
Let's analyze this:
* Force (F) is constant. This means the value of F remains the same.
* Mass (m) doubles. This means the new mass is 2m.
To keep the equation balanced, the acceleration (a) must be halved.
Let's illustrate with an example:
* Initial scenario: Force = 10N, Mass = 5kg, Acceleration = 2 m/s²
* New scenario: Force = 10N, Mass = 10kg, Acceleration = 1 m/s²
As you can see, doubling the mass while keeping the force constant results in half the acceleration.
