Question

(b) A 0.13−kg baseball thrown at 100 mph has a momentum of 5.9 kg · m/s. If the uncertainty in measuring the mass is 1.0 × 10−7 of the mass, calculate the uncertainty in the baseball's position.

Answer 1

Answer:

Δp.ΔX$\geq$h/4$\pi$

Δp = 1.0 × 10−7× 5.9 kg · m/s

     = 5,9×$10^{-7}$kg · m/s

Δx $\geq$ h/ 4×$\pi$×m×Δv

     Δx $\geq$  6.626×$10^{-34}$ J.s / 4$\pi$×5,9×$10^{-7}$kg · m/s

           $\geq$ 8.94×$10^{-29}$ m

Explanation:

using the Heisenbergs uncertainty principle which states that we cannot simultaneously measure with great precision both momentum and position of the particle.