(b) What If? within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, travelng it 0.350e measured with the same accuracy? (Give the lower linit for the electron in nm and that for the bullet in m.) for the electron 0.06164 Again, you will need to use the uncertainty principle, but note now the velodty is high compared to the spoed of light. e, you will need to ue the relativistic definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as diferentials. This will require fnding the derivative uf relativistic momentum with respect te velocity. Also, be sune to express your anwer in nanometer nm 1.958e-39 Again, you will need to use the uncertainty principle, but note now the velocity is high compared to the speed of ight. So, you will need to use the rulativistic definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertalntles as differeotials. This will require finding the derivatve i relativistic momentum with respect to velocity m for the bullet
(b) What If? within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, travelng it 0.350e measured with the same accuracy? (Give the lower linit for the electron in nm and that for the bullet in m.) for the electron 0.06164 Again, you will need to use the uncertainty principle, but note now the velodty is high compared to the spoed of light. e, you will need to ue the relativistic definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as diferentials. This will require fnding the derivative uf relativistic momentum with respect te velocity. Also, be sune to express your anwer in nanometer nm 1.958e-39 Again, you will need to use the uncertainty principle, but note now the velocity is high compared to the speed of ight. So, you will need to use the rulativistic definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertalntles as differeotials. This will require finding the derivatve i relativistic momentum with respect to velocity m for the bullet
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PRACTICE ANOTHER
(a) An electron and a 0.0340 kg bullet each have a velocity of magnitude510 m/s, accurate to within 0.0100%. within what lower limit could we determine the position of nach object
along the direction of the velocity? (Give the lower limit for the olectron in mm and that for the bullet in m.)
for the electron
113
3.0de 32
mm
for the bullet
(b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativiatic, travelng at
0.350e measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)
for the
0.05164
Again, you will need to use the uncertainty principle, but note now the velodity is high compared to the spoed of light. o, you will need to use the relativistic
definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as diferentials. This will require finding the derivative uf
relativistic momentum with respect to velocity Also, be sune to express your anwer in nanometers nm
electron
1.958e-39
Again, you will need to use the uncertainty principle, but note now the velocity is high compared to the speed of light. So, you will need to use the relativistic
detinition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertalnties as differentials. This will require finding the derivative uf
relativistic momentum with respect to velocity. m
for the
bullet"
Transcribed Image Text:MT NUIES
PRACTICE ANOTHER
(a) An electron and a 0.0340 kg bullet each have a velocity of magnitude510 m/s, accurate to within 0.0100%. within what lower limit could we determine the position of nach object
along the direction of the velocity? (Give the lower limit for the olectron in mm and that for the bullet in m.)
for the electron
113
3.0de 32
mm
for the bullet
(b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativiatic, travelng at
0.350e measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)
for the
0.05164
Again, you will need to use the uncertainty principle, but note now the velodity is high compared to the spoed of light. o, you will need to use the relativistic
definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertainties as diferentials. This will require finding the derivative uf
relativistic momentum with respect to velocity Also, be sune to express your anwer in nanometers nm
electron
1.958e-39
Again, you will need to use the uncertainty principle, but note now the velocity is high compared to the speed of light. So, you will need to use the relativistic
detinition of momentum. To find the uncertainty in velocity, treat the momentum and velocity uncertalnties as differentials. This will require finding the derivative uf
relativistic momentum with respect to velocity. m
for the
bullet
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