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.)

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Chapter1: Units, Trigonometry. And Vectors
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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.]

---

**Algebra Work** 

*(Symbols only. Don’t plug in any numbers yet.)*

[Space provided for students to perform algebraic manipulations.]

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Transcribed Image Text:--- **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.) --- **Representation** [Space provided for students to draw diagrams or representations of the problem.] --- **Physics Concept(s)** *(Refer to the list of concepts on Carmen under modules/course documents.)* 1. ___________________________ 2. ___________________________ **↓ Show your equation work on next page ↓** --- **Initial Equation(s)** [Space provided for students to write initial equations related to the problem.] --- **Algebra Work** *(Symbols only. Don’t plug in any numbers yet.)* [Space provided for students to perform algebraic manipulations.] ---
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