What is momentum? In physics, the term “momentum” refers to the quantity of motion in a given body. Momentum changes when an outside force acts on it. There are three factors that affect an object’s momentum: external forces such as gravity or friction, internal forces within the object itself (such as the atomic bonds between molecules), and inertial mass which is determined by how much matter there is in an object. The change in momentum depends on these factors; for example, something with more inertia will have greater resistance to changes than something lighter with less inertia.
The change in momentum of a body is the product of its mass and velocity. This can be expressed mathematically as ΣF = Δp, where F is equal to force (in newtons) divided by the object’s mass (in kilograms). Mathematicians use Euler’s equation that relates angular acceleration or speed to linear acceleration or impulse; this equation has three terms on each side and when we multiply both sides by dt, it becomes: Δp = -dP/dt*m. The first term on the right-hand side represents inertia which takes into account how much matter there is within an object while the second term represents external forces applied to it. For example, if someone weighs 200 pounds and is driving a car that weighs 4000 pounds, and they are going 20 miles per hour when the accelerator pedal suddenly becomes jammed in place then the driver’s change in momentum will be Δp = -dP/dt*m = (-20mph)*(200lbs) = 8000 Newtons.
The third term on Euler’s equation represents torque which takes into account how much angular acceleration there is within an object while the fourth term accounts for external forces applied to it. For example, if someone has a mass of 200 kilograms and applies 100-newton force with their arms rotating at two rotations per second around its vertical axis, what would happen? The answer is that this person can only lift up 2000 kilos so long as they are rotating in a horizontal plane.
If you throw an object across the room with 20 miles per hour of velocity, it will have momentum and when it collides with another stationary object (not having any initial momentum) then both objects will experience a change in momentum. Furthermore, if there is a constant force acting on an object what does that affect? The answer depends upon whether the force applied to the object is perpendicular or parallel to its velocity because this determines how much work done by net unit impulses which are calculated as F*Δp/τ = Δv/(dP/dt). When external forces act on objects through points A and B then we find that pA + FB=Iα where I=(FB-FA)/S.
Now we will explore factors that affect an object’s momentum, which may include the object’s weight and velocity of the object when it is thrown. If you throw a heavy ball with 20 miles per hour then its change in momentum would be much greater than if you threw a light ball with the same force because F=mA/dt or (dP/dt)/A=(Iα). Furthermore, when an object has high speed during collision what does this mean? Well, it means that there is more kinetic energy (KE) and when this happens the change in momentum is greater.
But what about an object that has a large area?
Well, it means that there will be more collisions with other objects which leads to more work done by impulse forces or F*Δp/τ = Δv/(dP/dt).
However, if you have high pressure then you would find less kinetic energy since KE=½mv² where m is the mass of object while v is the velocity of the object during a collision. And when we use impulse instead of a force for calculation then: I=(FB-FA)/S because FB stands for final balance after collision and FA stands for initial balance before the collision. Now let’s explore how factors affect momentum…
Conclusion: when you have a constant force, the change in momentum of an object is determined by kinetic energy and impulse. The factors that affect these two variables are pressure, area of impact on collision with other objects, or surface areas due to high-impact collisions, and time before the collision.