Difference between revisions of "Force"

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Force is defined as rate of change of [[momentum]] of a body (F = dp/dt). Unit of force is [[newton]].
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Force is defined as rate of change of [[momentum]] of a body (F = dp/dt). A unit of force is the[[newton]].
  
For non-[[Theory of Relativity|relativistic]] speeds, the momentum is given by ''p = m v'', giving ''F = m a''.<ref>Marcelo Alonso and Edward J. Finn, ''Fundamental University Physics'', Addison-Wesley.</ref> 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. The expression ''F = m a'' is Newton's Second Law, which was stated first by Sir [[Isaac Newton]].  
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The momentum is given by ''p = m v''. For non-[[Theory of Relativity|relativistic]] speeds, ''F = m a''.<ref>Marcelo Alonso and Edward J. Finn, ''Fundamental University Physics'', Addison-Wesley.</ref> 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.  
  
 
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There are four known fundamental types of forces occurring in nature<ref>Lewis H. Ryder, ''Quantum Field Theory'', 2nd ed., Cambridge University Press, Cambridge (UK), 1996</ref>:
When the velocity of the object approaches the speed of light, these expressions need to be modified to account for so-called "relativistic effects". Newtonian mechanics is then no longer a good approximation, and one should use the description given by Einstein's [[Theory of Relativity]].
 
 
 
There are four known types of forces occurring in nature<ref>Lewis H. Ryder, ''Quantum Field Theory'', 2nd ed., Cambridge University Press, Cambridge (UK), 1996</ref>:
 
  
 
;[[Electromagnetism|Electromagnetic]] force
 
;[[Electromagnetism|Electromagnetic]] force

Revision as of 00:58, July 6, 2007

Force is defined as rate of change of momentum of a body (F = dp/dt). A unit of force is thenewton.

The momentum is given by p = m v. For non-relativistic speeds, F = m a.[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
Gravitational force
Strong force
this is the force that keeps atomic nuclei together.
Weak force
this force is (amongst other things) 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 desribed 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