**Radioactive Decay Problem**A uranium-238 nucleus undergoes a radioactive decay:\[ {}^{238}\text{U} \rightarrow {}^{234}\text{Th} + {}^{4}\text{He} \]The masses are approximately 238, 234, and 4 atomic mass units (u), where \( u \) is the atomic mass unit.The U nucleus is initially at rest. Suppose the He nucleus has speed \( v \).**Question:** What is the kinetic energy of the Th nucleus?**Parameters:**- \( u = 1.66 \times 10^{-27} \, \text{kg} \)- \( v = 1.050 \times 10^7 \, \text{m/s} \)(Answer in Joules)**Multiple Choice Options:**- A: \( 4.004 \times 10^{-15} \)- B: \( 5.006 \times 10^{-15} \)- C: \( 6.257 \times 10^{-15} \)- D: \( 7.821 \times 10^{-15} \)- E: \( 9.776 \times 10^{-15} \)- F: \( 1.222 \times 10^{-14} \)- G: \( 1.528 \times 10^{-14} \)- H: \( 1.909 \times 10^{-14} \)**Submit Answer:**- Tries: 0/12**Discussion Area:** [Post Discussion]This problem explores the concepts of radioactive decay, mass-energy equivalence, and kinetic energy in nuclear physics.

Name: **Radioactive Decay Problem**A uranium-238 nucleus undergoes a radioa
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Description: **Radioactive Decay Problem**A uranium-238 nucleus undergoes a radioactive decay:\[ {}^{238}\text{U} \rightarrow {}^{234}\text{Th} + {}^{4}\text{He} \]The masses are approximately 238, 234, and 4 atomic mass units (u), where \( u \) is the atomic ma

A uranium-238 nucleus undergoes a radioactive decay, 238U --> 234Th + 4He The masses are approximately MU = 238u MTh = 234u MHe = 4u where u = the atomic mass unit = 1.66 x 10-27 kg The U nucleus is initially at rest. So, vU = 0 m/s The He nucleus has speed v = 1.050 x 107 kg Let, the velocity of the Th nucleus is vTh. Using conservation of momentum we have, MUvU = MThvTh + MHev (238u) (0 m/s) = (234u)vTh + (4u)v vTh = - (4/234)v The kinetic energy of the Th nucleus is (1/2) MThvTh2 = (1/2) (234u) ((- 4/234)v)2 = (1/2) (234 × 1.66 × 10-27 kg ) ((- 4/234) × 1.050 × 107 m/s)2 = 6.257 × 10-15 J Answer: C. 6.257 × 10-15 J

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A uranium-238 nucleus undergoes a radioactive decay, 238 U 234Th + 4He. The masses are approximately 238, 234 and 4 u, where u = the atomic mass unit. The U nucleus is initially at rest. Suppose the He nucleus has speed v. Then what is the kinetic energy of the Th nucleus? Parameters: u = 1.66 x 10-27 kg; v = 1.050x107 m/s. (in J) A: 4.004×10-15 B: 5.006x10-15 C: 6.257x10-15 Submit Answer Tries 0/12 Post Discussion D: 7.821x10-15 E: 9.776x10-15 F: 1.222x10-14 G: 1.528x10-14 H: 1.909x10-14 Send Feedb

A uranium-238 nucleus undergoes a radioactive decay, 238 U 234Th + 4He. The masses are approximately 238, 234 and 4 u, where u = the atomic mass unit. The U nucleus is initially at rest. Suppose the He nucleus has speed v. Then what is the kinetic energy of the Th nucleus? Parameters: u = 1.66 x 10-27 kg; v = 1.050x107 m/s. (in J) A: 4.004×10-15 B: 5.006x10-15 C: 6.257x10-15 Submit Answer Tries 0/12 Post Discussion D: 7.821x10-15 E: 9.776x10-15 F: 1.222x10-14 G: 1.528x10-14 H: 1.909x10-14 Send Feedb

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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