課程名稱︰普通物理學甲上 課程性質︰必修 課程教師︰趙治宇 開課學院：工學院 開課系所︰機械系 考試日期（年月日）︰2014/11/21 考試時限（分鐘）：170 是否發放獎勵金：yes~ tks 試題 : 題目請搭配圖片： http://imgur.com/qF6lJTT 1. A ball with mass m is launched vertically from the ground with an initial velocity v0. Consider the air friction is proportional to the velocity square (f = μv^2). Find the velocity of this ball when it hits back to the ground again.(8%) 男一賣的治宇講義有 2. Derive (a) the rocket equation and (b) the formula for finding the final velocity of an accelerating rocket whose fuels are decreased with time.(10%) 趙治宇上課說會考，課本有精美推導 3. (fig.1) Find the moment inertia of a hollow sphere (mass M) with inner and outer radius R1 and R2, respectively.(9%) 趙治宇上課說會考 4. Find the gravitational force between a uniform disc (mass M and radius R) and a particle (mass m). The distance between the particle and the disc is d, and the particle is right on the top of the center of this disc. (8%) 歷年出現過，男一賣的治宇講義11頁，積分有點技巧。這題期末考還會再考喔～ 5. For a rigid body, exemplified by Fig.3, show the angular momentum Lz = Iω, whe ω and I are the angular velocity and rotational inertia of the rigid body. (10%) 6. Fig.4 shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axies. The left end of the cord is pulled over a pulley over a pully, of negligible mass and friction and at cord height h = 1.25m, so the cart slides from x1 = 3.00m to x2 = 1.00m. During the move, the tension in the cord is a constant 28.0N. What is the change in the kinetic energy of the cart during the move?(12%) [習題] 7. A 2.0 kg breadbox on a frictionless incline of angle θ= 40度 is connected, by a cord that runs over a pulley, to a light spring of spring constant k = 105N/m, as shown in Fig.5. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping? What are the (c) magnitude and (d) direction (up or down the inclide) of the box's acceleration at the instant the box momentarily stop? (12%) [習題] 8. In Fig.6, block A (mass 1.6kg) slides into block B(mass 2.4kg), along a frictionless surface. The directions of the three velocities before (i) and after (f) the collision are indicated;the corresponding speeds are vAi = 5.5m/s, vBi = 2.5m/s, and vBf = 4.9m/s. (a) What is the speed of velocity vAf ? (b) What is the direction (left or right) of vAf ? (c) Is the collision elastic? (9%) [習題] 9. In Fig.7, elevator cabs A and B are connected by a short cable and can be pulled upward or lowered by the cable above cab A. Cab A has mass 1700kg and cab B has mass 1200kg. A 12.0kg box of catnip lies on the floor of cab A. The tension in the cable connecting the cabs is 1.91*10^4N. What is the magnitude of the normal force on the box form the floor ? [習題] 10. The potential energy of a diatomic molecule is given by A B U = —── - —── r^12 r^6 where r is the seperation of the two atoms of the molecule and A and B are positive constants. This potential energy is associated with the force that binds the two atoms together. (a) Find the equillibrium seperation ─ that is, the distance between the atoms at which the force on each atom is zero. Is the force repulsive (the atoms are pushed apart) or attractive (they are pulled together) if their seperatoin is (b) smaller and (c) larger then the equilibrium seperation ? (12%) 普物期末考前夜不讀書發考古題看能不能積點人品XD 第一次用批踢踢發文請多指教 趙治宇的普物考試一定要看考古題呀!!! 期中期末考約一半是上課洩題或考古題出現過 好幾次的，剩下一半可能是慣例所有習題抽五六題，還有一些科學新知簡答題。 本人因為非機械系所以期中考完才聽說原來年年都有考重複的...別讓同樣的悲劇發生在 你朋友身上，所以～揪你同學一起寫考古題吧:) 期中考不好也別傷心像我一樣想退選，助教改很仁慈也很可能他最後會調分！ --

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