Question

Consider a 2870 lb automobile clocked by law-enforcement radar at a speed of 85.5 mph (miles per hour). If the position of the car is known to within 5.0 ft at the time of the measurement, what is the uncertainty in the velocity of the car? Δυ 2 mph If the speed limit is 75 mph, could the driver of the car reasonably evade a speeding ticket by invoking the Heisenberg uncertainty principle? O yes O no

Answer 1

for calculating the velocity (V) of the car by using Heise- nberg's concertainity principle AK- Uncertainty in the A2. APR > h C position APx = Uncertainty in the momentem. P=mov h planck's constant Apa mau. ovoP - AV = 1 x Ifect = 0.3048 meters. . AX= 5. oft x 0.3048m Ift - 1.524 m [pounds Converted to = m = 2870 16 x 0.4536kg 116 = 1301.83 kg .. velocity Lv= 6.626 X1034 J.S 4x 3.14x 1301.83kg. 1.524m mis = 2.659 x 10 m/s Converted into mph. - (2.659 x1034)(3600) soc / 1609.3 m/mile AU > 5.9481 mph