uncertainty in position

$\Delta p \Delta x\geq \frac{h}{4\pi }$

halle young 4A
Posts: 68
Joined: Thu Jul 11, 2019 12:16 am

uncertainty in position

1B.27 A bowling ball of mass 8.00 kg is rolled down a bowling alley lane at 5.00 +/- 5.0 m/s. what is the minimum uncertainty in its position?

Chem_Mod
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Re: uncertainty in position

You are given mass and uncertainty in velocity, so you can use the equation ΔxΔp ≥ h / 4pi, where momentum (p) = mv.

You can solve for the minimum uncertainty in position by solving for Δx.

Alexa Mugol 3I
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Joined: Sat Aug 17, 2019 12:17 am

Re: uncertainty in position

The problem gives you a mass of 8.00 kg and a velocity of 5.00 m.s-1. The product of these will make up the momentum (Δp), which you will plug in to solve for Δx.

halle young 4A
Posts: 68
Joined: Thu Jul 11, 2019 12:16 am

Re: uncertainty in position

In the answer book it says the change in velocity is 5 m/s. however, wouldn't it be 10m/s?

Jainam Shah 4I
Posts: 130
Joined: Fri Aug 30, 2019 12:16 am

Re: uncertainty in position

halle young 4A wrote:In the answer book it says the change in velocity is 5 m/s. however, wouldn't it be 10m/s?

You are correct. The uncertainty in velocity is 10m/s. The answer in the book is wrong and if you check the Solution Manual error's pdf on Dr. Lavelle's website, the correct solution has been posted.