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Motion in A Plane

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
The velocity of a particle P due east is 4 m/s, and that of another particle Q is 3 m/s due south. What is the velocity of P w.r.t Q?

Velocity space of space the space particle comma space straight v with rightwards harpoon with barb upwards on top subscript straight P space equals space OA with rightwards harpoon with barb upwards on top space equals space 4 space straight m divided by straight s comma space due space east

straight v with rightwards harpoon with barb upwards on top subscript straight Q space equals space OB with rightwards harpoon with barb upwards on top space equals space 3 space straight m divided by straight s comma space due space south

straight v with rightwards harpoon with barb upwards on top subscript PQ space equals space straight v with rightwards harpoon with barb upwards on top subscript straight P space minus space straight v with rightwards harpoon with barb upwards on top subscript straight Q space

space space space space space space space space equals space straight v with rightwards harpoon with barb upwards on top subscript straight P space plus space left parenthesis negative straight v with rightwards harpoon with barb upwards on top subscript straight Q right parenthesis space

space space space space space space space space equals space OA with rightwards harpoon with barb upwards on top space plus space OD with rightwards harpoon with barb upwards on top space

Therefore comma space

open vertical bar straight v with rightwards harpoon with barb upwards on top subscript PQ close vertical bar space equals space square root of 4 squared plus 3 squared end root space equals space 5 space straight m divided by straight s space

tan space straight theta space equals space AC over OA space equals space OD over OA space equals space 3 over 4 space equals space 0.75 space

rightwards double arrow space straight theta space equals space 36 to the power of straight o 52 apostrophe comma space in space north space of space east.
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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 scalar quantities.

Mass, temperature and energy
769 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

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