homework help! Problem 9.71 - MC Part A The carbon isotope 14C is used for carbo

Question

homework help!

Problem 9.71 - MC Part A The carbon isotope 14C is used for carbon dating of archeological artifacts. 1C (mass 2.34 × 10-26 kg) decays by the process known as beta decay in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, a carbon nucelus initially at rest emits the neutrino along the positive -axis while the electron is emitted along the positive y-axis. The electron (mass 9.11 × 10-31 kg ) has a speed of 1 .6×107 m/s and the neutrino has a momentum of 7.2x10-24 What is the recoil speed of the nucleus? Express your answer using three significant figures Hints m/s g m/s Submit My Answers Give Up Part B At what standard angle will the nucleus recoil? Express your answer using three significant figures Hints from the positive -axis Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

Momentum (p)= m*v
Momentum of the Electron(px) = (9.11x10-31)(1.6 x 107)

px = 1.4576 x 10-23
Momentum of the Neutrino (py) = 7.2x10-24 Kg-m/s

p = sqrt(Px2 + Py2)

p = sqrt[(1.4576 x 10-23) 2 + (7.2x10-24)2]
p = sqrt[2.12459776 x 10-46 + 5.184 x 10-47]

p = sqrt[2.642998 x 10-46]

p = 1.62573 x 10-23
Speed = 1.62573 x 10-23 / 2.34x10-26
Speed = 694.75 m/s

Speed = 6.95 x 103 m/s

direction = arctan(y/x)

direction = arctan(7.2x10-24 /1.4576 x 10-23)

direction = arctan(0.4939)

direction = 26.2 degree

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.