Diva Jiang 的物理网站
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《200 Puzzling Physics Problems》是一套聚焦经典物理情境的趣味难题集，题目难度介于BPHO Round2到IPHO之间,风格和牛剑面试非常接近，也是牛剑面试的常用辅导书之一。 这套题要求具备微积分熟练运算能力，知识点覆盖力学、热学、电磁学等核心领域。它特别适合优秀的中学生、物理教师以及所有热爱思维挑战的爱好者。 鉴于原本书籍的题目并没有根据主题进行排布，本栏目旨对题目进行重新编排，并附加上具体的思维过程方便爱好者查看。 本栏目会持续更新。
以下是《200题》的详细讲解（部分内容包含仿真） 三只小蜗牛分别位于边长为 的等边三角形的顶点。第一只向第二只出发，第二只向第三只出发，第三只向第一只出发，速度均为。在运动过程中，每只蜗牛始终指向其目标蜗牛。请问它们相遇前经过了多少时间？行走的路程是多少？它们路径的方程是什么？若将蜗牛视为质点，它们绕最终相遇点转了多少圈？ 这道题目是经典的追逐问题（Pursuit Problem），也被称为“蜗牛问题”或“三鼠问题”。它考察了对称性、运动学... P2: A small object is at rest on the edge of a horizontal table. It ispushed in such a way that it falls off the other side of the table, which is wide,after . Does the object have wheels?一个小物体静止在... P3: A boatcan travel at a speed of on still water. A boatman wants to cross a riverwhilst covering the shortest possible distance. In what direction should he rowwith respect to the bank if the sp... P4: A long, thin, pliable carpet is laid on the floor. One end of thecarpet is bent back and then pulled backwards with constant unit velocity, justabove the part of the carpet which is still at re... 四只蜗牛在巨大的平面上进行匀速直线运动。它们的路径方向是随机的（且互不平行，即任何两只蜗牛都有相遇的可能），但任何一点最多只能有两条路径交汇。在 6 种可能的相遇情况中，已经发生了 5 次。我们能确定第六次相遇也一定会发生吗？虽然表面上这是一个关于蜗牛移动的问题，但其核心在于时空几何（Spacetime Geometry）。对于 A-level 水平的学生，可以用“时空图”的方法直观地解决。... P6: Two 20gflatworms climb over a very thin wall, 10 cm high. One of the worms is 20 cmlong, the other is wider (and thus shorter) and only 10 cm long. Which of themhas done more work against gravi... P7: A man ofheight is bungee jumping from a platform situated aheight above a lake. ...the rope is chosen so thathis speed will have been reduced to zero at the instant when his head reachesthe s... P9: Thesuspension springs of all four wheels of a car are identical. By how much doesthe body of the car (considered rigid) rise above each of the wheels when itsright front wheel is parked on an 8... P10: In VictorHugo’s novel Les Misérables, the main character Jean Valjean, an escapedprisoner, was noted for his ability to climb up the corner formed by theintersection of two vertical perpendicu... P11: Asphere, made of two non-identical homogeneous hemispheres stuck together, isplaced on a plane inclined at an angle of 30° to the horizontal. Can the sphereremain in equilibrium on the incline... P12: Asmall, elastic ball is dropped vertically onto a long plane inclined at anangle to the horizontal. Is it true that thedistances between consecutive bouncing points grow as in an arithmeticpr... P14: Abicycle is supported so that it is prevented from falling sideways but can moveforwards or backwards; its pedals are in their highest and lowest positions. Astudent crouches beside the bicycl... P13: A smallhamster is put into a circular wheel-cage, which has a frictionless centralpivot. A horizontal platform is fixed to the wheel below the pivot. Initially,the hamster is at rest at one en... P8: Aniceberg is in the form of an upright regular pyramid of which 10 m shows abovethe water surface. Ignoring any induced motion of the water, find the period ofsmall vertical oscillations of the... |
