A golf ball has a mass 40g and a speed of `45 ms^(-1)`. If the speed can be measured with inaccuracy of 2%, calculate the uncertainty in position.

Explanation

`Delta v` = The uncertainty in speed
`= 45 xx (2)/(100) = 0.9 ms^(-1)`
Using the equation, `Delta x = (h)/(4pi Delta v xx m)`
`Delta x = (6.626 xx 10^(-34) kgm^(2)s^(-1))/(4 xx 3.1416 xx 0.9ms^(-1) xx 40 xx 10^(-3)kg)`
`Delta x = 1.46 xx 10^(-33) m`
This is nearly `10^(18)` times smaller than the diameter of a typical atomic nucleus.