What is the radius of it's path?

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The discussion revolves around calculating the radius of a proton's path in a magnetic field, given its kinetic energy of 5.6 MeV and a magnetic field strength of 0.18 T. The user correctly converts the kinetic energy into joules and calculates the proton's velocity, arriving at approximately 3.3 x 10^7 m/s. The formula used for the radius incorporates the mass of the proton, its velocity, the charge of the proton, and the magnetic field strength. The user initially struggles with the calculations but ultimately resolves the issue, determining the radius to be 1.9 m. The thread highlights the importance of careful calculation in physics problems.
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Homework Statement


A 5.6 MeV (kinetic energy) proton enters a 0.18 T field, in a plane perpendicular to the field.
What is the radius of its path?


Homework Equations


kinetic energy: KE = 1/2 mv^2
velocity: v = sqrt(2KE / m)
radius: r = mV/qB

The Attempt at a Solution



KE = 5.6 MeV = 8.9722x10^-13 J
m(p) = 1.67x10^-27 kg
so v = 3.3x10^7 m/s

r = (m(p))(v) / (q(e))(B)

where m(p) is mass of proton
v is velocity as determined by manipulating the KE equation
q(e) is the charge of the proton which is the same as that of an electron (except positive)
B is the given magnetic field

the homework system I'm on, keeps telling me that my answer is wrong. if you see what I'm doing wrong or where I've made a mistake, please let me know.
 
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If anyone was in the process of helping me on this one, thank you; but I've figured it out.

I was probably making some sort of calculating error.

r = 1.9 m
 
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