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112年 - 112 身心障礙、退除役軍人轉任特種錄取人員基礎訓練考試_四等 、五等（ 含相當等級 ）：實務寫作題#118583
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第四題
某政府機關正進行辦公大樓改建，公務人員甲承辦報廢品搬運工程案。甲之友人乙開設某獨資工程 行，乙請求甲規避政府採購法規定以取得報廢品搬運工程案合約，乙將以新臺幣 15 萬元酬謝甲。甲立即允諾：「一切交給我。」不料，次日，甲即遭查獲。依上開情境及貪污治罪條例規定，甲觸犯何罪？請簡要說明之。（10 分）
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V. Essay Writing Please write a well-organized essay in 200-250 words to discuss and give your opinion.Do you agree that social media influences young people’s body image and self-esteem? Explain.
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1. During a rockslide, a 200 kg rock slides from rest down a hillside that is 500 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.25. What is the speed of the rock as it reaches the bottom of the hill? How long does it take for sliding down this 500 m path? (10%)
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2. The rotational inertia of a collapsing spinning star drops to 44 its initial value. What is the ratio of the new rotational kinetic energy to the initial rotational kinetic energy? Explain the source for the increase of rotational kinetic energy. (10%)
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3. Write down the equation of motion for a damped simple harmonic oscillator oscillating along the x axis with mass m, spring constant k, and a damping term bv, where v is its velocity. Solve this equation to find out its solution in terms of the above information. Use t to denote time, A for amplitude, and o for the initial phase in your answer. (10%)
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4. Write down the functional form y(x,t) of a standing wave with a frequency of 5.0 Hz and an amplitude of 0.25 m, shown in the right figure. What's the total energy of this standing wave assuming the linear density of this string is 0.0010 kg/m? (10%)
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5. For an ideal Stirling engine, find out the absorbed heat and entropy change in the isochoric process (Va， Pd) → (Va, Pa) of a full cycle as shown in the right figure, assuming the system contains one mole mono-atomic ideal gas. You should use R to denote the universal gas constant in your answers. (10%)
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(a) How would the charge distribute on the sphere? Provide quantitative theory for your answer. (5%)
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(a) What is the direction of the electron's velocity when it reaches A? Provide quantitative arguments for your answer. (5%)
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(a) How are the inductance and resistance of the solenoid changed? Provide your reason. (5%)
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(a) If the reflecting mirror is a piece of glass with index of refraction n> 1, how would the interference pattern differ, qualitatively, from double-slit interference pattern with the same separation between the two sources? What is the reason for the difference? (5%)
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