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If the Speed of a Particle is Increased Four Times, How Will Its Kinetic Energy Be Affected?

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Question

If the speed of a particle is increased four times, how will its kinetic energy be affected?
Numerical
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Solution

K.E, K = `1/2 mv²

if speed is incresed four times

K.E,K' = `1/2` m(4v)²

or K' = 16 x `1/2` mv² = 16K

thus K.E becomes sisxteen times

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Chapter 1: Force, Work, Energy and Power - 1.5 Graded Assignment [Page 55]

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Frank Physics Part 2 [English] Class 10 ICSE
Chapter 1 Force, Work, Energy and Power
1.5 Graded Assignment | Q 14. | Page 55

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