More force is needed to stop a train than to stop a car,
even when both are moving at the same velocity. A bullet fired from a gun has
more penetrating energy than a bullet thrown by hand, even if they have the
same masses. The physical quantity that describes this aspect of the motion of
an object is called momentum.
By definition, momentum is a product of the mass
and velocity of the body. Momentum is a vector quantity, meaning it has
magnitude and direction. Direction is usually the same as that
of the object's motion. Momentum is represented by p. To calculate the momentum
of the body the following equation is used: p = mv,
where m is the mass of the body and v is its velocity.
The unit for momentum is kilogram×meter/second
or kg×m/s.
In the example of a car and a train, the greater mass of
the train gives it more momentum than the car. Therefore, a greater change
in momentum is involved in stopping a train than in stopping the car. In case
of the bullets, the greater momentum of the fired bullet is due to its greater
velocity; a large change in momentum takes place when the speeding bullet is
stopped.
The law of conservation of momentum states:
the momentum of any closed, isolated system does not change.
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