Uncertainties in the momentum and kinetic energy of the proton?

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SUMMARY

The discussion focuses on calculating the uncertainties in the momentum and kinetic energy of a proton within a tin nucleus, specifically within a sphere of diameter 2.2 x 10-14 m. The uncertainty in momentum is calculated as 4.77 x 10-21 kg(m/s) using the relation delta(x) * delta(p) ≥ ℏ. The challenge arises in determining the uncertainty in kinetic energy, where the participant seeks clarification on how to apply the equation delta(E) * delta(t) ≥ ℏ without a specified time. The solution suggests that the kinetic energy can be derived from the momentum value already calculated.

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Homework Statement


A proton in a tin nucleus is known to lie within a sphere whose diameter is about 2.2 multiplied by 10E-14 m. What are the uncertainties in the momentum and kinetic energy of the proton?

Homework Equations


delta(x)*delta(p) >= hbar
delta(E)*delta(t) >= hbar


The Attempt at a Solution



I understand the first part finding the uncertainty of the momentum, which is simply. . .

1.05E-34 J(s) / (2.2E-14 m) = 4.77E-21 kg(m/s)

I don't however, in any way understand finding the uncertainty in the kinetic energy. . . Howe are we suppose to know this if we aren't told the time (or does that matter). I know the answer should be something times E-14, but I would like to know how to modify and manipulate this equation (delta(E)*delta(t) >= hbar.

Any help would be appreciated.
 
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I think you just need to find the kinetic energy corresponding to the momentum you have calculated.
 

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