The percentage errors in the measurement of mass and speed are `2% and 3%` , respectively . How much will be the maximum error in the estimation of `KE` obtained by measuring mass and speed?

Explanation

`(Deltam)/(m) xx 100 = 2%,(Deltau)/(u) xx 100 = 3%`
Kinetic energy `E=(1)/(2)mu^(2)`
Maximum error in kinetic energy
`(DeltaE)/(E) xx 100=(Deltam)/(m) xx 100 + 2(Deltau)/(u) xx 100`
`"Maximum error in kinetic energy" = 2% +2 xx 3%= 2% +6%= 8%`