A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in position

A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can

1.	A golf ball has a mass of 40 g and a speed of 45 m/s. If the speed can be measured within accuracy of 2%, calculate the uncertainty in position
Answer» SOLUTION :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`