Question

Table-tennis ball has a mass 10g and a speed of 90m/s. If speed can be measured within an accuracy of 4% what will be the uncertainty in speed and position?

Answer 1

`m = 10g = 10xx 10^(-3) kg = 10^(-2) kg`
Uncertainty in speed `(Delta v) = 4% " of "90 ms^(-1) = (4)/(100) xx 90 = 3.6 ms^(-1)`
`Delta x xx (m xx Delta v) = (h)/(4pi) :. Delta x = (h)/(4pi m Delta v) = (6.626 xx 10^(-34) kg m^(2) s^(-1))/(4 xx 3.14 xx (10^(-2) kg) (3.6 ms^(-1))) = 1.46 xx 10^(-33) m`