`A` golf ball has a mass of `40g` and a speed of `45m//s`. If the speed can be measured within accuracy of `2%`, calculate the uncertainty in the position.

Explanation

According to uncertainty principle,
`Deltax.mDeltav=(h)/(4 pi)orDeltax=(h)/(4 pi m Deltav)`
`Deltav=45 xx 2//100=0.9m s^(-1),m=40 g " " =0.04 kg`,
`h=6.626 xx 10^(-34) kg m^(2)s^(-1),pi=3.143`
`Deltax=((6.626 xx 10^(-34) kg m^(2) s^(-1)))/((4xx3.143 )xx(0.04 kg) xx (0.9 ms^(-1)))=1.46 xx 10^(-33)m`