※ [本文轉錄自 NTU-Exam 看板] 作者: leews () 看板: NTU-Exam 標題: [試題] 94下 蔡爾成 普物乙 期中考 時間: Wed Apr 26 18:19:15 2006 課程名稱︰普通物理乙 課程性質︰ 課程教師︰蔡爾成 開課系所︰職治 考試時間︰95.4.26 試題 : 1.[10%](a)[5%]What is "work-energy"theorem? 何謂"work-energy"定律? (b)[5%]What is "conservative force field"?何謂保守力場? 2.[10%]Deduce Kepler's third law from Newton's universal law of gravity. i.e.,show that T^2/r^3 is the same for any two planets about the sun. Assuming the orbit of any planet is a circle with radius r. 由萬有引力定律， 導出星球運動T^2/r^3 對每星球皆相同，假設星球軌道為半徑r的圓。 3.[10%]Our lungs contain hundreds of millions of alveoli. Explain how and why we may exhale without muscle action with the help of these alveoli. 人體有上 億肺泡，解釋為何這些肺泡可使人類呼氣而不須肌肉動作。 4.[10%]For an ice skater spinning on the tip of her skate with her arms extended initially, explain why her rate of spin increases when she pulls in her arms. 一個溜冰者開始旋轉時手臂伸出，解釋為何手臂往內收縮時旋轉加速 5.[10%]Assume the initial speed of one mass is v and the initial speed of 1 the other mass is zero.(a)Prove that for a collision of equal masses, 1/2mv^2=1/2mv'^2+1/2mv'^2+mv'v'cosθ where θ is the angle between the 1 1 2 1 2 velocities of the two masses after collision, and the final speeds after collision are v' and v'. 1 2 (b)Show θ is a right angle if the aforementioned collision is elastic. 6.[10%]The moment of inertia of a long rod spun about an axis through one end perpendicular to its length is ML^2/3.Why is this greater than it would be if you spun a point mass M at the location at the center of mass of the rod(at L/2)? 7.[10%]What is the final velocity of a hoop that rolls without slipping down a hill of height h, starting from rest? 8.[10%]The flow rate of blood in a coronary artery has been reduced to half its normal value by plaque deposits. By what factor has the radius of the artery been reduced, assuming no turbulence occurs?given (1/2)^1/2=0.707,(1/2)^1/3=0.794,(1/2)^1/4=0.841,(1/2)^1/5=0.871, (1/2)^1/6=0.891 9.[10%]When water freezes,its volume increases by 9.05%(i.e.,ΔV/V=9.05*10^-2) What force per unit area is water capable of exerting on a container when it freezes?The Bulk modus for water is 2.2*10^9 N/m^2. 10.[10%]Write down the Bernoulli's equation in Fluid Dynamics. For every variable in this equation, you need to explain what the corresponding physical quantity is. For example,we may have g in this equation and then you need to say that g is the acceleration of gravity.(But you do not need to derive this equation.)寫下Bernoulli's equation且說明方程式內每一變數含意 --

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