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?

Table-tennis ball has a mass 10g and a speed of 90m/s. If speed can be

1.	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» Solution :`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`