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Motion in A Plane

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Physics Part I

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Physics

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Class 10 Class 12

A car runs at aconstant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is

  • 0, 0

  • 0, 10 m/s
  • 10 m/s,  10m/s

  • 10 m/s,  0


B.

0, 10 m/s

In completing a circular lap, car's displacement is zero.
Average velocity is defined as the ratio of displacement to time taken while the average displacement to time taken while the average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken.
On a circular path in completing one turn, the distance travelled is 2 πr while displacement is zero.
Hence, average velocity = fraction numerator displacement over denominator time minus interval end fraction
                             equals 0 over straight t space equals 0

Average space speed space equals space fraction numerator Distance over denominator Time minus interval end fraction
space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 πr over denominator straight t end fraction equals space fraction numerator 2 cross times 3.14 cross times 100 over denominator 62.8 end fraction space equals space 10 straight m divided by straight s


In completing a circular lap, car's displacement is zero.
Average velocity is defined as the ratio of displacement to time taken while the average displacement to time taken while the average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken.
On a circular path in completing one turn, the distance travelled is 2 πr while displacement is zero.
Hence, average velocity = fraction numerator displacement over denominator time minus interval end fraction
                             equals 0 over straight t space equals 0

Average space speed space equals space fraction numerator Distance over denominator Time minus interval end fraction
space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 πr over denominator straight t end fraction equals space fraction numerator 2 cross times 3.14 cross times 100 over denominator 62.8 end fraction space equals space 10 straight m divided by straight s


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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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Give three examples of vector quantities.

Force, impulse and momentum.
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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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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
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