Question

At a baseball game, a radar gun measures the speed of a 144-g baseball to be $137.32 \pm 0.10 \mathrm{~km} / \mathrm{h}$. (a) What is the minimum uncertainty of the position of the baseball? (b) If the speed of a proton is measured to the same precision, what is the minimum uncertainty in its position?

Name: At a baseball game, a radar gun measures the speed of a 144-g baseball to be 137.32 ± 0.10 km / h. (a) What is the minimum uncertainty of the position of the baseball? (b) If the speed of a proton is measured to the same precision, what is the minimum uncertainty in its position?
Uploaded: 2022-03-23T01:11:32-08:00
Duration: 5 min 8 s
Channel: Prabhat Tyagi
Description: At a baseball game, a radar gun measures the speed of a 144-g baseball to be 137.32 ± 0.10 km / h. (a) What is the minimum uncertainty of the position of the baseball? (b) If the speed of a proton is measured to the same precision, what is the minimum uncertainty in its position?

          At a baseball game, a radar gun measures the speed of a 144-g baseball to be $137.32 \pm 0.10 \mathrm{~km} / \mathrm{h}$. (a) What is the minimum uncertainty of the position of the baseball? (b) If the speed of a proton is measured to the same precision, what is the minimum uncertainty in its position?

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University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

03/23/2022

Step 1

Given: Mass of baseball, m = 144 g = 0.144 kg Uncertainty in velocity, Δv = 0.10 km/h = 0.10 * 1000 m / 3600 s = 0.02778 m/s Planck's constant, h = 6.626 x 10^-34 J·s Using the uncertainty principle formula: Δx = h / (4πΔp) where Δp = mΔv Show more…

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At a baseball game, a radar gun measures the speed of a 144-g baseball to be $137.32 \pm 0.10 \mathrm{~km} / \mathrm{h}$. (a) What is the minimum uncertainty of the position of the baseball? (b) If the speed of a proton is measured to the same precision, what is the minimum uncertainty in its position?