Linear Momentum, what is Linear Momentum, PHYSICS

  • Linear momentum of a body is the quantity of motion contained in the body.
  • It is measured in terms of the force required to stop the body in unit time.
  • It is measured as the product of the mass of the body and its velocity i.e., Momentum = mass × velocity.

If a body of mass m is moving with velocity v then its linear momentum p is given by p = m v

  • It is a vector quantity and it’s direction is the same as the direction of velocity of the body.
  • Units : kg-m/sec [S.I.], g-cm/sec [C.G.S.]
  • Dimension : [ M L T‾¹]
  • If two objects of different masses have same momentum, the lighter body possesses greater velocity.

    p = M1V1 = M2V2= constant

  SO, V1/V2=M2/M1

    i.e V∝1/M                          [As p is constant]

 

  • For a given body p∝ v
  • For different bodies at same velocities p∝m

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