Question

When mass of a body and its velocity both are doubled, the percentage change in its linear momentum is:​

Answer 1

Answer:

300%

Explanation:

Momentum of a body of given mass, is directly proportional to its velocity. In fact momentum is mass multiplied by velocity.  

Kinetic energy of a body of given mass, is directly proportional to its square of its velocity.  

When momentum is doubled, mass remaining constant, this means velocity is doubled.  

Hence, kinetic energy becomes  

$2^{2} =4$

100  units to  400  units.

and percentage increase in kinetic energy is  

$400-100 = 300$ %

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