The law that states force is dependent on the mass and acceleration of an object is Newton's Second Law of Motion.

It is mathematically represented as:

F = m * a

where:

* F is the force applied to the object

* m is the mass of the object

* a is the acceleration of the object

This law essentially says that a greater force is required to accelerate a heavier object at the same rate as a lighter object. It also implies that a greater force will result in a greater acceleration of the object.