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Question

Explain the equation for force.


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Solution

Force:

  1. A pull or push on a body is called force.
  2. The unit of force is newton(N).
  3. Force is a vector quantity.

According to Newton's second law of motion, force is equal to the change in momentum of the body.

F=mv2-v1t

m is the acceleration.

a is the acceleration.

v2-v1 is the change in velocity.

Derivation of force equation from the momentum (p): considering mass is constant and velocity is changing.

p=mvF=dpdt=ddt(mv)=m(dvdt)dvdt=a(Acceleration)F=ma

Derivation of force equation from the momentum: considering velocity is constant and mass is changing.

p=mvF=dpdt=ddt(mv)F=v(dmdt)

Derivation of force equation from the momentum: considering both mass and velocity changes.

p=mvF=dpdt=ddt(mv)F=v(dmdt)+m(dvdt)


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