Calculating Proton Speed in an Accelerator and Repulsive Force at 8 x 10^-14 m

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SUMMARY

The discussion focuses on calculating the speed of protons accelerated through a potential difference of 1.0 x 106 volts and determining the repulsive force between protons and zinc nuclei at a distance of 8 x 10-14 m. The speed of the protons is derived using the equation v = √(2Ek/m), where Ek represents kinetic energy and m is the mass of the proton. The repulsive force is calculated using Coulomb's law, confirming that the force is approximately 1N due to the zinc nucleus having a charge 30 times that of an electron. Additional guidance is requested for visualizing proton paths in relation to the zinc nucleus.

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  • Understanding of kinetic energy and its relation to electric potential (E = vq)
  • Familiarity with Coulomb's law for calculating electrostatic forces
  • Basic knowledge of atomic structure, specifically regarding protons and nuclei
  • Ability to interpret and create diagrams of particle trajectories
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This discussion is beneficial for physics students, particle physicists, and educators involved in teaching concepts related to particle acceleration and electrostatic forces in atomic interactions.

cathoderay
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In an accelerator, protons are accelerated through a potential difference of 1.0 x 10^6 volts.
a)what is the speed of the proton when they leave the accelerator?

b)When the protons enter a zinc target, the closest distance they come to a zinc nucleus is 8 x 10^-14 m. show that the force of repulsion between the proton and nucleus at this distance is about 1N. The charge on the Zinc nucleus has value 30 times the charge on the electron.
(Picture 1-attached)
c)On the diagram below, complete the path of three protons.
-> Aimed directly at the nucleus of Zn
-> Aimed towards the edge of a nucleus of Zn
-> Aimed in the area between two nuclei of Zn.
(Picture 2-attached)




for a) i use E=vq and then v= sqr(2Ek/m) to get the answer




3. for B&C I am not sure wht i have to do?? could some one splaind me please thanks..
 

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For part B, try to use Coulomb's law.
 
part A & B solve thanks...
part c i would like some help figuring out what I am supous to do..
thanks ..
 

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