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Problem 7.45 Part A Determine the magnitude of the momentun of the second (recol

ID: 1794900 • Letter: P

Question

Problem 7.45 Part A Determine the magnitude of the momentun of the second (recoling) nucleus. Express your answer to three significant figures and include the appropriate units. A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino The electron and neutrino are emitted at right angles and have momenta of p, 888 1023 kg m/s and Poe Value Units Part B Determine the angle between the momentum of the electron and the momentum of the second (recoiling) nucleus Express your answer using three significant figures. +x 0.

Explanation / Answer

a) Pe = 8.88 * 10-23 kg.m/s

Pn = 5.77 * 10-23 kg.m/s

P = -(8.88 * 10-23 kg.m/s) i - (5.77 * 10-23 kg.m/s) j

magnitude p = sqrt [ Px2 + Py2 ]

= sqrt [(8.88 * 10-23)2 + (5.77 * 10-23)2]

= 1.06 * 10-22 kg.m/s

b) theta = tan-1 [py / px]

tan-1 [5.77 * 10-23 / 8.88 * 10-23] = 33 deg

theta = 180 - 33.0

theta = 147 deg