A golf has a mass of `40 g ` and a speed of `45 m s^(-1)` .If the speed can be measured an accurary of `2%` calculate the uncertainty in the position

Explanation

Mass of hall `= 40 g = 40 xx 10^(-3) kg`
The uncertyainty in the speed
`Delta v = 45 xx (2)/(100) 0.9 m s^(-3) kg`
so the uncleretainty in position
`Delta v = (h)/(4 pi Delta p) = (h)/(4pi m Delta v) `
`= (6.626 xx 10^(-34) Js)/(4 xx 3.14 xx (40 xx 10^(-3) kg) xx (0.9 m s^(-1)))`
`= 1.46 xx 10^(-33) m`