课程名称︰普通物理学甲上 课程性质︰数学系大一必带 课程教师︰黄晖理 开课学院：理学院 开课系所︰数学系 考试日期（年月日）︰2013/10/01 考试时限（分钟）：60 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1. An airplane B is flying with the constant velocity v = (v , 0). At t = 0, a B 1 cannon fires the ball at origin with initial speed v and launch angle θ, 2 and the plane just flying cross the point (0, h). And the ball hit the plane at time t . (Suppose when the ball hit the plane and the plane will crash.) 1 Consider the gravity g, and neglect the air resistance. (25 pt.) (a) If we know the value of v , v . Show the launch angle θ and the hitting 1 2 time t by v , v , h and g. (10 pt.) 1 1 2 (b) If we know the value of v . What is the minimum value of v if the ball 1 2 can hit the plane? (15 pt.) . . y . ↑ ↗θ ┼→x ￣￣￣￣￣ A Fig. 1 2. Fig. 2 shows a section of a cable-car system. The mass of each car is m. The cars, riding on a support cable, are pull by a second cable attached to the support tower on each car. Assume that the cables are taut and inclined at angle θ. What is the difference in tension between adjacent section of pull cable if the cars are being accelerated up the incline at acceleration a. (25 pt.) Support cable ╱ Pull cable ╱╱ ╱╱θ ╱╱|￣￣ ╱╱ □ ╱| □ Fig. 2 3. The two blocks in Fig. 3 are not attached to each other. The coefficient of static friction between two blocks is μ. And the surface beneath the larger block is frictionless. What is the minimum magnitude of the horizontal force F require to keep the smaller block from slipping down the larger block? (25 pt.) ┌──┐ ┌─┤ │ F→│m │ M │ └─┤ │ frictionless │ │↙ ────┴──┴─ Fig. 3 4. A ball mass m slide to the ground along a frictionless slope with angle θ 2 from height h to the ground. m = 1 kg, g = 9.8 m/s and h = 1 m. (25 pt.) (a) What is the work done by the gravity if θ = 30°? (b) What is the work done by the gravity if θ = 45°? (c) What is the work done by the gravity if θ = 60°? (d) What is the work done by the gravity if the ball free fall from height h? (e) What is the work done by the normal froce on the slope if θ = 45°? o ╱▏ ╱ ▏ ╱ h▏ ╱θ ▏ ￣￣￣￣ Fig. 4 //考验我的画工= = -- 第01话 似乎在课堂上听过的样子 第02话 那真是太令人绝望了 第03话 已经没什麽好期望了 第04话 被当、21都是存在的 第05话 怎麽可能会all pass 第06话 这考卷绝对有问题啊 第07话 你能面对真正的分数吗 第08话 我，真是个笨蛋 第09话 这样成绩，教授绝不会让我过的 第10话 再也不依靠考古题 第11话 最後留下的补考 第12话 我最爱的学分 --

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