`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

Uncertainty in speed = 2% of `40 ms^(-1)`, i.e., `Delta v = (2)/(100) xx 45 xx 0.9 ms^(-1)`
Applying uncertainty principle,
`Delta x (m xx Delta v) = (h)/(4pi)`
or `Delta x = (h)/(4pi m Delta v) = (6.626 xx 10^(-34) kg m^(2) s^(-1))/(4 xx 3.14 xx (40 xx 10^(-3) kg) (0.9 ms^(-1))) = 1.46 xx 10^(-33) m`