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In a high-energy physics experiment, a subnuclear particle moves in a circular arc of 0.27-m radius perpendicular to a magnetic field of 2.7*10^-2 T. The kinetic energy of the particle is determined to be 4.1*10^16 J. Identify the particle from its mass. The masses of the electron, pion, and proton are 9.1*10^-31 kg, 2.5*10^-28 kg, and 1.67*10^-27 kg, respectively. Assume that the particle is known to have a positive charge equal to the magnitude of the electron charge.

Okay, so I know r= 0.27, B= 2.7*10^-2, q= 1.6*10^-19 C, and KE= 4.1*10^-16 J. Now I need to find mass to id the particle.

[tex] KE = \frac{mv^2}{2} [/tex], so [tex] v = \sqrt{2m * (KE)} [/tex].

[tex] r = \frac{mv}{qB} [/tex], and then I subbed in the v from the kinetic energy equation.

[tex] r = \frac{m\sqrt{2m * (KE)}}{qB} [/tex]

[tex] \frac{rqB}{\sqrt{2KE}} = m^{3/2} [/tex]

m = 1.49*10^-9.

I really screwed this up didnt I? Was it a conceptual or a math error?

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# Homework Help: ID a particle

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