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What Change Should Be Effected in the Velocity of a Body to Maintain the Same K.E., If Its Mass is Increased Four Times? - Physics

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Question

What change should be effected in the velocity of a body to maintain the same K.E., if its mass is increased four times?
Numerical

Solution

K.E ,K = `1/2` mv²

If mass is increased four times 

K.E ,K' = `1/2` (4m) (v)²

or K' = 4 x `1/2`mv²

to maintain the same kinetic energy the velocity should be made half.

Then, K" = 4 x `1/2` m `("v"/2)²` = K

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Chapter 1: Force, Work, Energy and Power - Exercise 1.5 i [Page 53]

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Frank Physics - Part 2 [English] Class 10 ICSE
Chapter 1 Force, Work, Energy and Power
Exercise 1.5 i | Q 17 | Page 53

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