`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

The uncertainty in the speed is 2%, .i,e
`45 xx (2)/(100) = 0.9 ms^(-1)`
using the equation `Delta x = (h)/(4pi m Delta v)`
`= (6.626 xx 10^(-34) Js)/(4 xx 3.1 xx 40 xx 10^(-3) g xx 0.9 ms^(-1) )`
`= 1.46 xx 10^(-33) m`
This is nearly `10^(18)` times smaller than the diameter of a typical atomic nucleus. As mentioned earlier for large particles, the uncertainty principle sets no meaningful limit to the precision of measurements.