Momentum and the Conservation of Linear Momentum
Transcript of Momentum and the Conservation of Linear Momentum
-
8/2/2019 Momentum and the Conservation of Linear Momentum
1/8
-
8/2/2019 Momentum and the Conservation of Linear Momentum
2/8
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
-
8/2/2019 Momentum and the Conservation of Linear Momentum
3/8
Momentum
The momentum of a ball depends on its
mass and velocity.
BallB
hasmore
momentum than ballA
.
-
8/2/2019 Momentum and the Conservation of Linear Momentum
4/8
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
-
8/2/2019 Momentum and the Conservation of Linear Momentum
5/8
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.
-
8/2/2019 Momentum and the Conservation of Linear Momentum
6/8
Example of conservation of momentum
SHOOTING A GUN AND RECOIL
-
8/2/2019 Momentum and the Conservation of Linear Momentum
7/8
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
-
8/2/2019 Momentum and the Conservation of Linear Momentum
8/8
Law of Conservation Of Momentum
According to the law of conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2