The percentage error in the measurement of mass and speed of a body are 2% and 3% respectively. What will bek the maximum percentage error in the estimation of kinetic energy of the body?

Answer

`+- 8%`

Explanation

Here, `(Deltam)/(m)= +- 2% and (Delta upsilon)/(upsilon) =+-3%`
`KE = E =(1)/(2)mupsilon^2`
`(DeltaE)/(E ) = (Deltam)/(m) +2(Deltaupsilon)/(upsilon)`
`=+- (2% +2xx3%) = +-8%`