LINEAR MOMENTUM by Sukesh Kamath

LINEAR MOMENTUM

sukeshkamath — 2016-01-27 05:44:06 UTC

Linear momentum is a vector quantity defined as the product of an object’s mass, m, and its velocity, v.

Linear momentum is denoted by the letter p and is called “momentum” for short:

p = mv

Note that a body’s momentum is always in the same direction as its velocity vector. The units of momentum are kg · m/s.

CONSERVATION OF MOMENTUM

sukeshkamath — 2016-01-27 06:49:08 UTC

With in a closed system, the total momentum in any direction is constant

i.e total momentum before collision = total momentum after collision.

Notes to remember

sukeshkamath — 2016-01-27 07:13:02 UTC

To do any calculations for momentum, there are some simple rules to follow to make it easy:

Always decide which direction is positive and which is negative, then stick to it.

Always remember that the total momentum before the collision will be the same as the total momentum after the collision.

ELASTIC COLLISION

sukeshkamath — 2016-01-27 07:15:24 UTC

All momentum is conserved
Kinetic energy is conserved
Relative speed of approach = relative speed of separation.

INELASTIC COLLISION

sukeshkamath — 2016-01-27 07:24:18 UTC

All momentum is conserved (again).
Kinetic energy is not conserved (again).
You can't say anything about the speed at which they leave each other without doing a calculation.

Elastic collision

sukeshkamath — 2016-01-28 01:32:56 UTC

Inelastic collsion

sukeshkamath — 2016-01-28 01:39:58 UTC

Momentum in Two dimension

sukeshkamath — 2016-01-28 01:47:58 UTC

Momentum in Two Dimension

sukeshkamath — 2016-01-28 01:48:47 UTC

The x-component of the total momentum of the system of the 2 pucks is conserved.

The total x-momentum is expressed as the sum of the x-momenta of the individual objects.

The definition of momentum is applied.

The magnitudes of the velocities are substituted. The sign of each velocity component is determined by the corresponding trig function. Note that both x-components will be positive in this case, since the cosines of Quadrant I and IV angles are positive.

The y-component of the total momentum of the system of the 2 pucks is conserved.

The total y-momentum is expressed as the sum of the y-momenta of the individual objects.

The definition of momentum is applied.

The magnitudes of the velocities are substituted. The sign of each velocity component is determined by the corresponding trig function. In this case, sin(α) will be positive and sin(β) will be negative. This makes sense, because the components must add to 0.

sukeshkamath — 2016-01-28 01:51:12 UTC

sukeshkamath — 2016-01-28 01:51:38 UTC

Impulse

sukeshkamath — 2016-01-28 01:52:30 UTC

sukeshkamath — 2016-01-28 05:48:22 UTC

Use the link below to find the momentum in two types of collison

sukeshkamath — 2016-02-01 05:28:36 UTC

Momentum

http://www.radian.com.hk/simulations/index.html#/details/61

Elastic collison

http://www.radian.com.hk/simulations/index.html#/details/65

Inelastic collison

http://www.radian.com.hk/simulations/index.html#/details/64