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物理 高校生

⑶です。N≧0だと、0の時に離れてしまうと思ったのですが、なぜN>0ではないのでしょうか。

列題 16 鉛直面内の円運動 図の半径r[m]のなめらかな半円筒の内面の最下点Aに 向かって、質量 m[kg]の小球を水平方向に速さ vo[m/s] ですべらせた。重力加速度の大きさをg[m/s°]とする。 (1)小球が図の点Bを通るときの速さ s[m/s] と, 面 から受ける垂直抗力の大きさ Na[N] を求めよ。 (2) 小球は図の点Cで面から離れたとする。 cos Ooを vo, 9, rで表せ。 (3) 小球が半円筒の最高点Dを通過するためには, Voがある大きさ Umin 以上である必要がある。Umin (m/s] を求めよ。 ID B Vo 解(1)点Aを含む水平面を重 力による位置エネルギー の基準水平面とすると, 慣性力 VB 点Aと点B間での力学 B 的エネルギー保存則より UB° m r NB rcos0_0 1 1 1 2 2 mvo? = 2 mVB 2 mgcos0 mg r + mgr(1 + cos0) よって UB = Vv° - 2gr (1 + cos 0) [m/s] 小球とともに回転する立場で考えると, 点Bで小球には重力,垂 直抗力,慣性力がはたらく。半円筒の中心方向にはたらく力のつり がを…① あいより 2 VB" m r - NB - mgcos0 = 0 の, の式より NB = m Co? - mg(2 + 3cos0) [N] -3③ r (2)点Cでは垂直抗力が0になって面から離れる。 ③式で NB = 0 として 2 Vo° vR - 2gr 3gr (3) 点Dで小球が受ける垂直抗力の大きさ No[N]は, ③式で0= 0と 0= m mg(2 + 3cos0) よって cosθ,= r 2 おくと cos0 =1なので No= m Vo° 5mg r No20であれば, 小球は半円筒を離れずに点Dを通過できる。 よって m Vmin 5mg = 0 より Umin = V5gr [m/s]

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生物 高校生

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Test II PROBLEM SOLVING Directions: Answer the question and show your complete solution in the separate paper. 1. Suppose the cells lining of your cheeks can completely di vide every 24 hours. Assuming no cells die in the process, how many cheek cells will be there after 7 days if you started with 5 cheek cells? 2. If an organism has 15 pairs of homologous chromosomes, how many chromosomes will each daughter cell have after telophase of mitosis? Test I. Complete the concept in mitosis has the Cell division Purpose of which have occurs in through (10. condeneed which Includes or noncondensed which include 5。 温 a loop of DNA which Includes (in order) which form sister 9. during 12. (13. 14. which is followed by 15. which Is followed by (16. which includes (in order). 17. 19. >(20. What's New In meiosis the cell goes through similar stages in mitosis and uses similar strategies to organize and separate chromosomes. However, the cell has a more complex task in meiosis. It still needs to separate sister chromatids (the two halves of a duplicated chromosome), as in mitosis. But it must also separate homologous chromosomes, the similar but non-identical chromosome pairs an organism receives from its two parents. These goals are accomplished in meiosis using a two-step division process. Homologue pairs separate during a first round of cell division, called meiosis I. Sister chromatids separate during a second round, called meiosis III. Since cell division occurs twice during meiosis, one starting cell can produce four gametes (eggs or sperm). In each round of division, cells go through four stages: prophase, metaphase, anaphase, and telophase. Stages of Meiosis I In meiosis I, homologous chromosomes are separated into two cells such that there is one chromosome (consisting of

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