(a) An electron and a 0.0320 kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Wienin what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) for the electron 1205 V mm for the bulet 343e-32 0.300
(a) An electron and a 0.0320 kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Wienin what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) for the electron 1205 V mm for the bulet 343e-32 0.300
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SERPSE10 39.8.OP.024.MI.
MY NOTES
PRACTICE ANOTHER
(a) An electron and a 0.0320 kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the
direction of the velocity? (Give the lower limit for the electron in mm and that for the bulet in m.)
1205
343e 12
for the eiectron
V mm
for the bullet
(b) What I7 Within what lower limit could we determine the position of each tbject along the direction of the velocity it the electron and the bulet were both relativistic, traveling at 0.300e
measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)
for the
electron
Again, you will need to use the uncertainty principle, but note now the velooty is high compared to the speed of fight. So, you will need to use the relativistic definition of
momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as aiferentials. TNs will require finding the derivative of relativistic momentum
with respect to velocity. Also, be sure to express your answer in nanometers nm
for the
It appears you uned the non-relativistic relation between momentum and velocity to find the velocity uncertainty However, the speed in high enough that you will need to use
the relativistic definition of momentum To find the uncertainty in velocity, treat the momentum and velocity uncertainties as differentials This will requre finding the
derivative of relativistic momentum with respect to velocity m
bullet
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PREVIOUS ANSWERS
SERPSE10 39.8.OP.024.MI.
MY NOTES
PRACTICE ANOTHER
(a) An electron and a 0.0320 kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the
direction of the velocity? (Give the lower limit for the electron in mm and that for the bulet in m.)
1205
343e 12
for the eiectron
V mm
for the bullet
(b) What I7 Within what lower limit could we determine the position of each tbject along the direction of the velocity it the electron and the bulet were both relativistic, traveling at 0.300e
measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)
for the
electron
Again, you will need to use the uncertainty principle, but note now the velooty is high compared to the speed of fight. So, you will need to use the relativistic definition of
momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as aiferentials. TNs will require finding the derivative of relativistic momentum
with respect to velocity. Also, be sure to express your answer in nanometers nm
for the
It appears you uned the non-relativistic relation between momentum and velocity to find the velocity uncertainty However, the speed in high enough that you will need to use
the relativistic definition of momentum To find the uncertainty in velocity, treat the momentum and velocity uncertainties as differentials This will requre finding the
derivative of relativistic momentum with respect to velocity m
bullet
Need Help?
Read it
Master
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