If the mass of a body is reduced to half and velocity is doubled, how does its KE change?
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0
Answer:
let mass be m and final velocity be v
then, KE = 1/2 × mv^2
if mass is reduced to half then mass = 1/2 × m
if velocity is doubled then square of velocity = 4v^2
so, KE = 1/2 × 1/2 × m × 4 × v^2
that is, KE = mv^2
as mv^2 = 2 × 1/2 mv^2
we can say that if velocity is doubled and mass is reduced to half then KE is doubled
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New KE = 1/2. ... (2v)^2 = mv^2 = Double of Original KE KE will get doubled.
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