Newton's second law states that the acceleration of an object is directly proportional to the force applied on it and inversely proportional to its mass. This can be expressed mathematically as F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration.
In terms of momentum, we can define momentum as the product of an object's mass and velocity. Mathematically, this can be expressed as p = mv, where p is the momentum, m is the mass, and v is the velocity.
Using this definition of momentum, we can rewrite Newton's second law as F = dp/dt, where F is the force, p is the momentum, and t is time. This equation tells us that the force applied on an object is equal to the rate of change of its momentum over time.
In simpler terms, this means that the more force applied to an object, the greater the change in its momentum over time, and the more mass an object has, the more force is required to achieve the same change in momentum. Therefore, the second law of motion in terms of momentum tells us how a force applied to an object affects its motion and momentum.