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You are at the controls of a particle accelerator, sending a beam of $1.50 \times 10^{7} \mathrm{m} / \mathrm{s}$ protons (mass $m )$ at a gas target of an unknown element. Your detector tells you that some protons bounce straight back after a collision with one of the nuclei of the unknown element. All such protons rebound with a speed of $1.20 \times 10^{7} \mathrm{m} / \mathrm{s}$ . Assume that the initial speed of the target nucleus is negligible and the collision is elastic. (a) Find the mass of one nucleus of the unknown element. Express your answer in terms of the proton mass $m .(b)$ What is the speed of the unknown nucleus immediately after such a collision?

(a) $\overrightarrow{\mathrm{v}}_{g 2}=0.30 \times 10^{7} \mathrm{m} / \mathrm{s}$

(b) $m_{g}=9 m$

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Cornell University

Numerade Educator

University of Washington

Simon Fraser University

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