Force

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Force is defined as rate of change of momentum of a body <math>\vec F = {d \vec p \over dt} </math>. The SI unit of force is the newton and the US customary system unit is the pound.

The momentum of an object is given by <math> \vec p = m \vec v</math>. For non-relativistic speeds, <math> \vec F = m \vec a </math> when mass can be assumed to be constant.[1] In these expressions, F stands for the total vector sum of all forces, m for the mass of the object, a for its acceleration expressed as a vector, p stands for momentum vector and v for velocity vector.

There are four known fundamental types of forces occurring in nature[2]:

Electromagnetic force
The force that acts on objects with electric charge.
Gravitational force
The force that attracts any two objects with mass.
Strong force
The force that keeps atomic nuclei together.
Weak force
This force is involved in beta decay, in which a neutron in an atomic nucleus is changed to a proton, emitting an electron and a neutrino.

It should be noted that the latter two forces have an extremely short range (on the order of femtometers), and that a classical (Newtonian or relativistic) description of these forces is not possible. They can only be described using quantum field theory, a relativistic version of quantum mechanics.

References

  1. ↑ Marcelo Alonso and Edward J. Finn, Fundamental University Physics, Addison-Wesley.
  2. ↑ Lewis H. Ryder, Quantum Field Theory, 2nd ed., Cambridge University Press, Cambridge (UK), 1996