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ICSE Class 10 Answered

What will cause a greater change in kinetic energy of a body?changing its mass or changing its velocity . give reason along with an example.
Asked by Kanwaranita10 | 10 Jul, 2019, 08:30: PM
answered-by-expert Expert Answer
Kinetic energy K = (1/2)mv2......................(1)
 
where m is mass and v is velocity . 
 
By taking logarithm on both side of eqn.(1) and differentiating after, we get, 
 
dK/K = (dm/m) + 2 (dv/v) ..................(2)
 
Kinetic energy is directly proportional to mass . 
If velocity is kept constant and mass is increased or decreased by 10%
kinetic energy also increases or decreases by same 10%
 
Kinetic energy is proportional to square of velocity.
If mass is kept constant and velocity is increased or decreased by 10%,
then kinetic energy increases or decreases by 20%
 
Hence greater change in kinetic energy is caused by changing its velocity compare to changing its mass.
Answered by Thiyagarajan K | 10 Jul, 2019, 08:53: PM

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