Newton's Second Law of Motion

Newton's Second Law of Motion states:

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

This means:

* Acceleration is directly proportional to the force applied. A larger force produces a larger acceleration.

* Acceleration is inversely proportional to the mass. A larger mass results in a smaller acceleration.

Doubling the Mass

If you double the mass of the block while keeping the force the same, the acceleration will be halved.

Explanation:

Let's say the original force is F, the original mass is m, and the original acceleration is a. Using the equation:

* F = m * a

Now, if we double the mass (2m) and keep the force the same (F), we have:

* F = (2m) * a'

Since the force is the same in both scenarios, we can equate the two equations:

* m * a = 2m * a'

Solving for the new acceleration (a'):

* a' = (1/2) * a

Therefore, doubling the mass while keeping the force constant will result in half the original acceleration.