If the mass of the body is changed to '9' times, then what should be the change
9 times, then what should be the change in velocity such that its K.E.
remain same.

Dear Student,

Kindly find the answer of your asked query.

Kinetic enegry is given by:KE=12mv2since kinetic energy remains same henceKE1=KE212m1v12=12m2v22v2v1=m1m2=m9m=13v2=v13hence velocity must be reduced to 1/3 of the initial value.
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Hope this information will clear your doubt about energy.

Regards

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K.E = 1/2mv^2
=> 1/2(9m)v^2
Therefore, velocity should be decreased by 9 times to get the same K.E
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