Momentum and the Conservation of Linear Momentum
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Transcript of Momentum and the Conservation of Linear Momentum
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A quantity expressing the motion of a body or system, equal to
the product of the mass of a body and its velocity, and for a
system equal to the vector sum of the products of mass and
velocity of each particle in the system.
Momentum = mass velocity
Momentum
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Momentum
The momentum of a ball depends on its
mass and velocity.
BallB
hasmore
momentum than ballA
.
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Momentum and collisions
Momentum is a vector; its direction is the sameas the direction of the velocity.
Velocity (m/sec)Mass (kg)
Momentum
(kg m/sec)p = m v
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Conservation of Momentum
The law of conservation of momentum states
when a system of interacting objects is not influenced byoutside forces (like friction), the total momentum of thesystem cannot change.
If you throw a rock forward from a
skateboard, you will move backward in
response.
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Example of conservation of momentum
SHOOTING A GUN AND RECOIL
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Law of Conservation Of Momentum
Total momentum of an isolated system before collision is alwaysequal to total momentum after collision.
MATHEMATICAL REPRESENTATION
Consider an Two bodies A and B and mass m1 and m2moving initially withvelocities u1and u2
Total momentum before collision = m1u1 + m2u2
Let after collision their velocities becomev1andv2.
Total momentum after collision = m1v1 + m2v2
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Law of Conservation Of Momentum
According to the law of conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
