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iragen [17]
3 years ago
6

(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.
Physics
1 answer:
polet [3.4K]3 years ago
5 0

Answer:

Δp.ΔX\geqh/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.

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