An electrons acceleration. Please check my answer

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SUMMARY

The discussion centers on calculating the centripetal acceleration of an electron orbiting a helium nucleus with two protons. The electron mass is specified as 9.11 x 10-31 kg, and the radius of the orbit is 3.09 x 10-11 m. The user initially calculates the force using Coulomb's law, arriving at a force of 4.82 x 107 N, leading to an incorrect acceleration of 5.29 x 1023 m/s2. The error in the calculation is identified as a misinterpretation of the exponent in the final acceleration result.

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  • Coulomb's law for calculating electrostatic force
  • Understanding of centripetal acceleration formulas
  • Basic knowledge of atomic structure, specifically helium
  • Proficiency in scientific notation and exponent manipulation
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  • Review Coulomb's law and its application in atomic physics
  • Study centripetal acceleration calculations in circular motion
  • Practice problems involving electron orbits and forces in atomic models
  • Learn about scientific notation and common errors in exponent calculations
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Students in physics, educators teaching atomic structure, and anyone interested in understanding electron behavior in atomic models.

Miss1nik2
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An electrons acceleration. Please check my answer!

Multiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occurring electrons is removed. The radius of the orbit is 3.09 x 10-11 m. Determine the magnitude of the electron's centripetal acceleration.

Multiple-Concept Example 3 tells you that the electron mass is 9.11 x 10 ^ -31 kg.

I know what I have to do...

First, use Coulomb's law to find the Force. Then, divide by mass to find the acceleration. But the answer I am getting is HUGE.

This is what I found...

F= 4.82 x 10 ^ 7

Then, a= 5.29 x 10 ^ 23.

But, I am told that is the wrong answer. Please help!
 
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Hi Miss1nik2! :smile:
Miss1nik2 said:
… the electron mass is 9.11 x 10 ^ -31 kg.

F= 4.82 x 10 ^ 7

Then, a= 5.29 x 10 ^ 23.

erm … you have 10 ^ 23 x 10 ^ -30 = 10 ^ 7 :redface:
 

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