A bullet with mass 10.000 g has a speed of 300.00 m/s; the speed is accurate to

Question

A bullet with mass 10.000 g has a speed of 300.00 m/s; the speed is accurate to within 0.04%. Estimate the minimum uncertainty in the position of the bullet. Same question if you had an electron with the same speed. What can you conclude?

Explanation / Answer

speed of bullet = 300. Uncertanity = change in v=0.03%*v = .0003*300=.09 uncertainty in momentum = change in p = change in v * m = .01*.09=.0009 so now we have change in x * change in p > h/(4pi), so change in x>h/(4pi*change in p)=6.626*10^-34/(4*3.14*.0009) =5.86*10^-32 meters b. change in p = change in v * m = 9.11*10^-31*.09=8.2*10^-32 then from the same equation x * change in p > h/(4pi), so change in x>h/(4pi*change in p)=6.626*10^-34/(4*3.14*8.2*10^-32) .00064 meters

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