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物理 高中

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4 4 有關繞日公轉的八人分 J八大行星, 旬 作 信和各h水時 (B)公轉半徑最大的是天王是 AN大行星公轉週期的二 進哪些正確? (應選2項) 的平方與公轉軌道平均半 則八大行星的公轉速率皆相等 (D)公轉軌道結為村圓 1 讓生為傅圖 ,太陽位於每個橢圓軌道的中 同 上 (將晶公轉宙放和連連生 |橢圓軌道的中心 碼質量為 100 公克 ,森 下列哪些結論? (應選3 項) (A)最大靜摩擦力和放置的財碼 碼個數成正比 (B)最大靜摩擦力和物體的重量成正比 (C)最大靜摩擦力與物體所受正向力成正比 (bb表中的九值等於 192 公克重 (B)表中的九值等於 208 公克重。 三、閱讀題 (3題,每題5分,共 15分) 生休碼重作 塊質量為 800 公克。根據1 於木塊,作最大靜摩擦力的測 如圖表所示。已知每個太 數據,小明可以初步得到 【 物體 「最大靜摩擦力 木塊 128gw 和 木塊+1個夸碼| 144gw 未塊33人全天上且76gw ~ 森塊+5個太碼 之疆 在科學研究、網路資通及軍事安全等多重 素下,世界各國無不將 幣 251 億元,預計每年發射 ! 顆衛星升空。 於我國在衛星產業技術上自 主能力的提升 表 衛星技術與衛星產業,視為國力發展的重要指標之一。臺灣在這方面也 未汞人後,自2017 年順利把「福衛五號 」送到太空後接續的「福衛七 號 也在 2019 年升空 下太空科技長程發展計畫」第三期,由科技部國 家實驗研究院國家太空中心執行,自 2019 年起至 2028 年共 10 年,將投 藉由發射次數的國增, 福爾摩沙衛星的歷程及資訊,其中有 大空最準確溫度計 」之 今 >, 即將接替其工作的福衛蕊號也是由6 顆微衛星組 12 分鐘,操控人員要事前規劃好要下的指 控系統是國人首度自主研發,為衛星技術 J3 到4倍,氣象預報準確度將可提高 10% ,

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物理 高中

18題,感謝

10. [2D and 3D motion] Show that the potential energy U(r) ofFa particle of nass jat aa distance r(> 員 from a planet of Inass 4 and radins 戶話 11. [The cross product] Caleulate the cross product A x B, assuming that A and B both lie in the x-y plane and have the respective nonzero components 4,, 4, and 妖,, 且, 12. [Angular momentum] Show that 主r, the instantaneous position ofa particle of mass mu with respect to a certain origin O, is parallel to its acceleration dv/吧, then the time Tate of change of the angular Inoimentum L with respect to the given origin vanishes 13. [Theorem 了 Show that the torque-angular momentum formnla _箇 7二 is also valid for a two-particle system 放 the origin lies at the center of mass 14. [Theorem IIH] Two particles of respective Inass ml and 2 are connected to the ends of amassless rod and Inove in the uniform gravitational field g ofthe earth. (a) What is the acceleration of their center of nass Telative to a Newtonian origin O? (b) Show that the angular Inomentum of the two particles about their center of nass 生 aconstant of the motion. 15. [Moments of inertia] Calculate the moment of inertia ofathin, uniform rod of mass m and length / about an axis perpendicular to the rod and at a distance q from one end. 16. [Rotation about a fixed axis] Consider the rotating cylinder in Figure, and suppose that A7 sg, Fo 三 0.6 Nt, and @ 二 0.2m, Calculate (a) The torque 7 acting on the cylinder (b) Ti ngular aceeleration q of the cylinder 17. [Work and kinet: instant Totat eenergy] A 40-kg homogeneous sphere of radius 10 cm is at acertain about ashaft through its center at 600 rpm. Assuining that a constant fric itude ets so that the sphere comes to rest in 10 seconds, Calculate th tional torque ofthis torque. 18. [The physical pendl end and allowed to oscillate freely in a horizontal plane (see Figure) m] A uniform Tod of Inass ru and length / is suspended at one (a) What is the period of this physic lpendulum for small amplitudes? (b) Ithe velocity u0 of the mass ce Hulum is initially released at rest in a horizontal position。what is the er at a subsequent instant when the Tod is vertical? (ec) Calculate the vertical and the horizontal components of the force on the rod at the point of suspensic 19 and rotations] Analyze the motion of a homogeneous sphere of mass 和7 and Tadius dq, which rolls without slipping down a fixed inclined plane of angle # 20. of angular momentum] A Inan has ainoment of inertia 五 about the = axis. He is originally at Test and standing on asinall platform which can turn freely. Ifhe is handed a wheel which is rotating at and has anoinent of inertia 了about its spinning axis, determine his angular velocity 放 (a) he holds the wheel upright, (b) turns the wheel out 9 二 90?, and (c) turns the wheel downward, 9 二 180?. Neglect the effect of holding the wheel a distance d away from the z axis

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