Question

28.7

An electron and a 140-g baseball are each traveling 135 m/s measured to a precision of 0.075 %.

PART A

Calculate the uncertainty in position of the electron.

PART B

Calculate the uncertainty in position of the baseball.

PART C

Compare the uncertainty in position of each.

Answer 1

Velocity, v = 0.00075 x 135 = 0.10125 m/s

A)

dx = (1.055 x 10^-34)/(9.1 x 10^-31 x 0.10125)

dx = 1.145 x 10^-3 m

B)

dx = (1.055 x 10^-34)/(0.14 x 0.10125)

dx = 7.44 x 10^-33 m

C)

Uncertainty of ball is negligible compared to electron

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