Momentum :
(a) It is the product of mass `m` and velocity `vec v` of the body usually denoted as `vec p` since velocity is a vector quantity and mass is a scalar thus momentum is a vector quantity
`vec p=m vec v`
Change in linear momentum`vec(Delta p)= vec F. Delta t`
(b) It is a vector quantity that has a magnitude (mv) and a direction (the same as the velocity vector `vecv` ).
(c) Unit : In MKS : `kg` `ms^-1` or N-sec, In CGS: gm-cm/sec or Dyne-sec
(d) Dimension: `[ M^1 L^1 T^-1 ]`
(e) The linear momentum of a particle may be expressed in terms of its components as
`vecP = P_x hati + P_y hatj + P_z hatk`, Where
`P_x = mv_x, P_y = mv_y, P_z = mv_z`
(f) For a system of N particles with masses `m_1, m_2`.......... and their velocities `V_1, V_2`....... respectively the total momentum `vecP` of the system in a particular frame is
`vecP = vecP_1 + vecP_2 +.................+vecP_N`
= `m_1vecV_1 + m_2vecV_2 + .....................m_NvecV_n = MvecV_(cm)`
Note:
`vecP` depends on the frame of reference.
Two bodies of same mass and moving with same speed will have different momenta unless their directions of motion are same. The momentum measures the motion of a body.
`vec p=m vec v`
Change in linear momentum`vec(Delta p)= vec F. Delta t`
(b) It is a vector quantity that has a magnitude (mv) and a direction (the same as the velocity vector `vecv` ).
(c) Unit : In MKS : `kg` `ms^-1` or N-sec, In CGS: gm-cm/sec or Dyne-sec
(d) Dimension: `[ M^1 L^1 T^-1 ]`
(e) The linear momentum of a particle may be expressed in terms of its components as
`vecP = P_x hati + P_y hatj + P_z hatk`, Where
`P_x = mv_x, P_y = mv_y, P_z = mv_z`
(f) For a system of N particles with masses `m_1, m_2`.......... and their velocities `V_1, V_2`....... respectively the total momentum `vecP` of the system in a particular frame is
`vecP = vecP_1 + vecP_2 +.................+vecP_N`
= `m_1vecV_1 + m_2vecV_2 + .....................m_NvecV_n = MvecV_(cm)`
Note:
`vecP` depends on the frame of reference.
Two bodies of same mass and moving with same speed will have different momenta unless their directions of motion are same. The momentum measures the motion of a body.