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Motion in A Plane

Physics Part I

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Two particles A and B, move with constant velocities v1 and v2. At the initial moment, their position vectors are r1 and r2 respectively. The condition for particles A and B for their collision is

• r1.v1 = r2.v2

• r1 x v1 = r2 x v2

• r1 - r2 = v1-v2

A.

For two particles A and B moves with constant velocitites v1 and v2, such that two particles to collide, the direction of the relative velocity of one with respect to other should be directed towards the relative position of the other particle.i.e., direction of relative position of 1 w.r.t

similarly,  direction of velocity of 2 w.r.t 1
so, for collision of A and B, we get

For two particles A and B moves with constant velocitites v1 and v2, such that two particles to collide, the direction of the relative velocity of one with respect to other should be directed towards the relative position of the other particle.i.e., direction of relative position of 1 w.r.t

similarly,  direction of velocity of 2 w.r.t 1
so, for collision of A and B, we get

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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Give three examples of vector quantities.

Force, impulse and momentum.
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