008 (part 1 of 3) 10.0 points An alpha particle has a mass of 7.14 × 1027 kg and

Question

008 (part 1 of 3) 10.0 points

An alpha particle has a mass of 7.14 × 1027 kg and bears a double elemen- tary positive charge. Such a particle is ob- served to move through a 2.3 T magnetic field along a circular path of radius 0.18 m.

The charge on a proton is 1.60218×1019 C. What speed does it have?
Answer in units of m/s.

009 (part 2 of 3) 10.0 points

What is its kinetic energy? Answer in units of J.

010 (part 3 of 3) 10.0 points

What potential difference in MV would be required to give it this kinetic energy?

Answer in units of MV.

Explanation / Answer

a) q v B = m v2 / r

v = q B r / m

v = (2 * 1.6 * 10-19 * 2.3 * 0.18) / (7.14 * 10-27)

speed = 1.85 * 107 m/s

b) KE = 1/2 m v2 = 1/2 * 7.14 * 10-27 * (1.85 * 107)2

kinetic energy= 1.22 * 10-12J

c)delta V = 1.22 * 10-12/ 2 * 1.6 * 10-19

= 3.81 MV

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