A ball of mass.1kg is thrown with a speed of 20.0 and 20.1m/s. How accurately can we determine its position?

Question

A ball of mass.1kg is thrown with a speed of 20.0 and 20.1m/s. How accurately can we determine its position?

Answer 1

you can use the uncertainty principle

( 20.1-20.0 )*1 = dp = 0.1 kg. m/s so

dx*dp >/= h/(4*pi) where h is planck's constant :

dx >/= h/(4*dp*pi)

using h ~= 6 .6 * 10 ^( -34) j . s and pi = 3.14

dx >= 5.2  * 10^( -34) m .