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?

Explanation

`K.E.=(1)/(2)mv^(2)`
`therefore (Deltak)/(k)=(Deltam)/(m)+(2Deltav)/(v)implies(Deltak)/(k)xx100=(Deltam)/(m)xx100+2((Deltav)/(v))xx100`
`therefore` Percentage error in `K.E. = 3% + 2 × 2% = 7%`