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December 22, 2014

December 22, 2014

Posted by **J** on Monday, February 25, 2008 at 5:27pm.

ok for part (a) I confused on what equation to incorporate all the givens! I am lost! and for part (b) you would just need to change the mass of the the protons to the mass of electrons or is there more to that?

- Physics -
**Damon**, Monday, February 25, 2008 at 6:16pmThe kinetic energy of the proton is (1/2) m v^2

Therefore (1/2) m v^2 = 745 volts * charge of proton

That gives you v, the speed of the proton.

Now use your force on a particle in a magnetic field to get the radius of path (if you do not have the equation in your book) If you do, just skip to the end of the next paragraph.

F = q v B if B perpendicular to v

= mass * centripetal acceleration = m v^2 /R.

So R = m v /(q B)

That is all you need.

In part B m changed for the proton. That changes the velocity from (1/2) m v^2

and also makes a change in the radius equation.

(1/2) m v^2 = q V

v = sqrt (2 q V/m)

then for th radius

R = m v/(qB) = sqrt(2 q V m)/(q B)

so the radius goes up with sqrt(m)

of course the sign of q changed, but that only changes the direction, not the radius.

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