Question

J-s. If your 1400-kg car is parked in an 8.54-m-long garage, what is the uncertainty in its velocity? cm/s the tolerance is +/-2%

Answer 1

`\Delta v = 4.41 * 10^(-37) cm/s`

Step-by-step explanation:

As per Heisenberg's uncertainty principle we know that

`\Delta P * \Delta x = (h)/(4\pi)`

so here we have

`\Delta P = m\Delta v`

`\Delta x = 8.54 m`

now from above equation we have

`m\Delta v * (8.54) = (h)/(4\pi)`

`1400(\Delta v) * (8.54) = (6.626 * 10^(-34))/(4\pi)`

`\Delta v = 4.41 * 10^(-39) m/s`

`\Delta v = 4.41 * 10^(-37) cm/s`