oton speed gold nucleus (m = 3.27 x 10-25 kg). The proton is absorbed by the gold nucleus, thereby converting it into a mercury nucleus. What is the speed vf of the mercury nucleus immediately af- ter the collision? (Note: the proton must be treated rela- tivistically in this problem, but it turns out that the mercury nucleus is traveling slowly enough so that it needn't be treated relativistically.)
Nuclear Fusion
Nuclear fusion is a type of nuclear reaction. In nuclear fusion, two or more than two lighter atomic nuclei combine to form a heavier nucleus. During this process, an enormous amount of energy is released. This energy is called nuclear energy. Nuclear fusion is the energy source of the sun and stars.
Fusion Bomb
A fusion bomb is also known as a thermonuclear bomb or hydrogen bomb which releases a large amount of explosive energy during a nuclear chain reaction when the lighter nuclei in it, combine to form heavier nuclei, and a large amount of radiation is released. It is an uncontrolled, self-sustaining nuclear chain reaction where isotopes of hydrogen combine under very high temperature to form helium. They work on the principle of operation of atomic fusion. The isotopes of Hydrogen are deuterium and tritium, where they combine their masses and have greater mass than the product nuclei, get heated at high temperatures, and releases energy.
please answer all parts. for algerba work, show symbolic answer not numerical. thank you!
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**Problem Statement**
A proton is fired at a speed of 0.30c toward a stationary gold nucleus \((m = 3.27 \times 10^{-25} \text{ kg})\). The proton is absorbed by the gold nucleus, thereby converting it into a mercury nucleus. What is the speed \(v_f\) of the mercury nucleus immediately after the collision? (Note: the proton must be treated relativistically in this problem, but it turns out that the mercury nucleus is traveling slowly enough so that it needn’t be treated relativistically.)
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**Representation**
[Space provided for students to draw diagrams or representations of the problem.]
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**Physics Concept(s)**
*(Refer to the list of concepts on Carmen under modules/course documents.)*
1. ___________________________
2. ___________________________
**↓ Show your equation work on next page ↓**
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**Initial Equation(s)**
[Space provided for students to write initial equations related to the problem.]
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**Algebra Work**
*(Symbols only. Don’t plug in any numbers yet.)*
[Space provided for students to perform algebraic manipulations.]
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