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Momentum-
Law of conservation of Momentum
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MOMENTUM
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| Quantity of motion of a body is referred to as "MOMENTUM". | |||
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Definition
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| Momentum of a moving body defined as : | |||
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"the
product of mass and velocity of a body is called MOMENTUM."
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| Mathematically | |||
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Momentum
= mass x velocity
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| It
is a vector quantity. Momentum is always directed in the direction of velocity. The unit of momentum is in S.I system kg .m/s or NS. Momentum depends upon mass and velocity of body. |
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LAW
OF CONSERVATION OF MOMENTUM.
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| The law of conservation of momentum states that: | |||
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"when
some bodies constituting an isolated system act upon
one another, the total momentum of the system remains constant." OR
"the
total momentum of an isolated system of interacting bodies remains constant."
OR "Total momentum of an isolated system before collision is always equal to total momentum after collision." |
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| Consider an isolated system of two bodies 'A' and 'B' as shown. The masses of bodies are ma and mb and | |||
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MATHEMATICAL
REPRESENTATION
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| Consider two bodies of mass m1 and m2 moving initially with velocities u1 and u2. | |||
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| Total momentum before collision = m1u1 + m2u2 | |||
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| Let after collision their velocities become v1 and v2. | |||
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| Total momentum after collision = m1v1 + m2v2 | |||
| According to the law of conservation of momentum | |||
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m1u1
+ m2u2 = m1v1 + m2v2
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