A golf ball has a mass of 40 g , and a speed of 45m/s. if the speed can be measured with in accuracy 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`