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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
Two projectiles are projected with same velocity at same angle, one on the earth and second on the moon. If the projectile acquires the maximum height of H on the earth, then what will be the maximum height attained by the projectile on the moon?

Maximum height attained by the projectile on the earth is,

straight H subscript earth equals fraction numerator straight u squared sin squared straight theta over denominator 2 straight g end fraction 

Acceleration due to gravity on the moon is g/6. Therefore maximum height attained by the projectile on the moon is, 

straight H subscript moon equals fraction numerator straight u squared sin squared straight theta over denominator 2 left parenthesis straight g divided by 6 right parenthesis end fraction equals 6 open parentheses fraction numerator straight u squared sin squared straight theta over denominator 2 straight g end fraction close parentheses space equals space 6 straight H subscript earth 

Thus maximum height attained on the moon is six times the maximum height attained on the earth.
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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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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 is a scalar quantity?

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