Pのみに力学的エネルギー保存則を使ってしまい間違えました。なぜこの問題でQまで含めて考えないといけないのですか？

34 力学 0 物理 浜島 A5判 w 11 エネルギー保存則 LECTURE Vo (1) Qが最高点 瞬静止する。 た)のは,P, C 質量mの小球Pと3mの小物 体Qを糸で結び、Qを傾角30°の 斜面上の点Aに置き,糸を斜面 と平行にし、滑車にかけてPを つるす。斜面は点Aの上側では 滑らかであるが、下側は粗く, Qとの間の動摩擦係数はっで、 ある。Pに鉛直下向きの初速 20を与えたところ,QもVで点Aから動 き出した。重力加速度をgとし、エネルギー保存則を用いて答えよ。 X)Qの達する最高点Bと点Aとの距離1はいくらか。 ) Qはやがて下へ滑り点Cで止まった。AC 間の距離Lはいくらか。 Q SB 3m の カ P →ーレ しだけ下がっ m 30°。 ギーである。 コ学 ぶす0 は,Qが Is 置エネルギー 良問 出 三島 5判 mvs? 運動エネ 質的に 3mg わってくる 別解 初めの ギーを調べ。 Level(1) ★ (2) ★ Base カ学的エネルギー保存 1 2 -mvs?+ から っm+位置エネルギー=ー定 Point & Hint 6のる =0+mg(た 両辺から Pの重力 mg よりもQの重力 理中?? の斜面方向の分力 3mg sin 30° 2 ※ 位置エネルギーには, 重力の位置エ (ネルギー mgh やばねの弾性エネ と一致して のほうが大きいので, 静かに放 せばQが下がり Pが上がる状況。 運動方程式でも解けるが,エネ ルギー保存則で解かなければな らないし,そのほうが早く解け 1 っex? などがある。 (2) 力学的 ルギー Aに戻っ ※ 摩擦がないとき成り立つ。厳密には 非保存力の仕事が0のとき成り立つ。 も)。位 ので、運 る。 からでお (1)摩擦がないので力学的エネ ルギー保存則が成り立つが, PとQが糸を通して力を及ぽし合い, エネルギーの やり取りをしているので, PやQ単独では成立しない。 全体(物体系)について扱 うこと。運動エネルギーと位置エネルギーの総量が保存されるが,失われたエネ ルギー = 現れたエネルギー とすると式を立てやすい。 (2) 元の位置に戻ったときの速さをまず押さえたい。その後は摩擦があるので, 摩 擦熱を取り入れ,エネルギー保存則を立てる。 最下上 エネル: 明と豆作用 iSb 摩擦熱 = 動摩擦力×滑った距離 -N ミ

この問題にてなぜ摩擦力は斜面下方向になるのですか。Cは斜面下向きに運動するため、斜面上向きに働くのではないかと思ったのですが

26 力学 8 運動方程式 C 物体A(質量 M) およびB (質量) 糸の両端に結び, Aを滑らかな斜面上にお き,Bを斜面の上端に取り付けた滑車を通 してつり下げる。いま, Aを手で支え, そ の水平な上面に物体Cをのせてから, Aを 静かに放したら, AはCをのせたまま斜面 に沿って加速度 りおり始めた。Aが距離1だけ進んだとき, CをAの上から取り去ったところ, Aはその後一定の速度で滑りおり ていった。 A)斜面が水平面となす角はいくらか。 (2) 加速度運動をしているときの糸の張力はいくらか。 (B) 等速度運動をしているときのAの速さはいくらか。 C4)物体Cの質量はいくらか。 在(5い、加速度運動をしているとき CがAに及ぼす鉛直方向の力はいくら を A B g 8 (gは重力加速度)で滑 か。 X6) 加速度運動中, CとAの間に滑りを起こさないためには, 両者間 の静止摩擦係数はいくら以上でなければならないか。 (兵庫県立大) Level(1)~(4) ★ (5), (6) , Point & Hint (1) Cを取り去った後の運動に目をつける。等速度運動は力のつり合いのもと で起こる。 (2) Bに注目する。 (5)力は2物体間で生じ,それぞれが受ける力の大きさは等しく, 向きは逆向きで あるという作用·反作用の法則を意識して, Cに注目する。 (6) AC 間に滑りけないか 「AA HE日

①〜⑤の動詞を適切な形に変えなさい。

Unit 5長文問題I Do you ever~) ~することがあ、 か? fall asleep 眠り are scolded とられ。 take naps 仮眠する。 afterward その後 following 次の catching a few 2's うとうとすること 11 Do you ever fall asleep during class? What happens? Perhaps, take naps? How do vou feel afterward? You will be happy o(read) ne following information. Many scientists now say that catching a few z's can improve your performance. (1)You must be so happy to hear this, so let's continue. you are scolded by vour teacher. How about at home? Do you ever Actually, this is important news for (2)people who have jobs that require high levels of concentration. Can you think of such jobs? 2 require ~を必要とれ concentration 集中 surgeon 外科医 on the night shift 夜勤で air traffic controlle 空(交通)管制官 focus on ~ ~に集中け lack of ~の不足 result in ~をもたら get together 協力す experiment 実験する surgeons, hospital staff 。(work) on the night shift, and air traffic controllers are just a few. These people must focus on their Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. In the United States, a group of scientists got together and experimented on (A)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked 3 in a row 続けて (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. by now そろそろ Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o(repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with ® (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさ enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

The other group was asked (do) the same,but they took a short nap after three hours.の(do）の動詞を適切な形に変えてもらいたいです、。

2 Actually, this is importai OTT requir Jobs? Surgeons, hospital staff 。 (work) on the night shift, and air traffic controllers are just a few. These people must focus on their Lhat require high levels of concentration. Can you think of such Conce surge on th 夜 Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. air focu lack 3 resi In the United States, a group of scientists got together and get exp experimented on (a)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked in ③ (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. b Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got close to 70% correct. The scientists decided g (repeat) the experiment several times on different people, but the results were Taking sh0rt.

この問題をおねがいします。

Target Unit 3 長文間題I 睡眠がもたらすカ の不定詞 の動名詞 の助動詞 の分詞 6関係代名詞 1 Do you ever fall asleep during class? What happens? Perhaps, Do you ever ~? ~することがあります you are scolded by your teacher. How about at home? Do you ever か? fall asleep 眠り込む are scolded 叱られる take naps 仮眠する afterward その後 following 次の catching a few z's うとうとすること take naps? Hqw do you feel afterward? You will be happy o(read) the following information. Many scientists now say that catching a few z's can improve your performance. (1) You must be so happy to hear this, so let's continue. Actually, this is important news for (2)people who have jobs 2 that require high levels of concentration. Can you think of such require ~を必要とする concentration 集中(力) surgeon 外科医 on the night shift 夜勤で air traffic controller 航 空(交通)管制官 focus on ~ ~に集中(する lack of ~の不足 result in ~をもたらす get together 協力する experiment 実験する jobs? Surgeons, hospital staff e (work) on the night shift, and air traffic controllers are just a few. These people must focus on their jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. 3 In the United States, a group of scientists got together and experimented on two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked in a row 続けて 3 (do) the same, but they took a short nap after three hours. (3) Results got from these experiments were simple and clear. Which group had better results? By now, you should know. The by now そろそろ second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o (repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with g (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさん enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

場合分けの時に使う、大なりと大なりイコールの違いを教えてください🙇‍♀️

Bridge Level 2 数学的な考え方を済 では次に,もう少し高校数学の内容に触れてみましょう。 例題4 2次関数 y=x° に対して, 定義域が-2<x<kのとき, 次の問いに答えなさい。 ただし, k>-2とします。 (1) 最小値を求めなさい。 (2) 最大値を求めなさい。

(i)に入る英文が分かりません。 教えて頂きたいです。

Reading police chief William Heim had to figure out how to get the'same or better'policing out of a cmaller force, So in 2013 \he ( 2 )incrime'prediction'software made by PredPol,a Big Data *start-up hased\in Santa Cruz,Californiaa (i) The Reading 'police \officers could view the program's Wansontud goiwna conclusions as a series of squares, \each one just the size of two football fields, If they spent more time patrolling these squares) there was a good chance they would discourage crime, And sure enough, a year later, Chief Heim'announced that burglaries were down by 23 percent. (i )Unlike the crime-stoppers in Steven Spielberg's movie Minority Report, the cops don't arrest people before they'commit crimes、 Jeffrey\Brantingham, the UCLA'anthropology professor who founded PredPol,insistedthat the modeis blind'to race and ethnicity)/And unlike other programs, PredPol doesn't focus on the individualyinstead, it targets ( 3 ).The key inputs) are the typé and location of each crime and when it occurred.That seems(fair enough. And if cops spend more time in the high-risk zones) preventing **burglars and car thieves, there's good reason'to believe that the community benefits. a

この問題の(3)です、問題自体は水平方向で力のつりあいで解けたのですが鉛直方向のつりあいはどうなってるんですか？

82 力学 00oo28 円運動 長さ1の軽くて細い糸の一端に質 量mの小球をつけ, 他端を点Aに固 定する。また,Aから鉛直下方 のところにある点Bに,細くて滑ら かなくぎが水平に固定してある。く ぎに垂直な面内で糸を張りながら小 球を持ち上げ,糸が鉛直線となす角 A あと す 1して、 F E d4B しるがし m ウ を 0=60° にして,小球を静かに放 す。重力加速度をgとする。 T 合 (2 ) 小球が最下点Cを通るときの速さ vo はいくらか。 き上 (2) 小球が点Cを通る直前での糸の張力 Ti はいくらか。また,点Cを 通った直後の糸の張力 T, はいくらか。 上がる前に 0(3) 小球が点Bと同じ高さの点Dを通るときの糸の張力 To はいくら るためには、 路面 (4) 小球が図の点Eに達したとき,糸がゆるんだ。ZEBD =aと 車& エ か。 して,sin a を求めよ。 (5) 糸がたるむことなく小球がBを中心とする円弧をえがいて運動し, Bの鉛直上方-1のところにある点Fに達するためには,はじめの 角0はいくら以上でなければならないか。その角度を 0。として. cos Oo を求めよ。 (筑波大+名古屋大) Level(1) Base 鉛直面内の円運動 ■力学的エネルギー保存則 ■遠心力を考えて。 半径方向での力のつり合い DT Point & Hint 50 士党 鉛直面内の円運動を解く鍵は右のよ うに2つある。 (2) 直前と直後では円運動の半径が -kに注音

青の線の部分を日本語訳してください😭

問4本文の内容と合うものを3つ選び, 番号を○で囲みなさい。 1/If you fall asleep in class, you maybe scolded by your teacher. 2. Many scientists say that we should stop taking naps in class. 3, Surgeons and air traffic controllers require high levels of concentration. 4. Serious accidents may result from concentrating and focus. 文 5. The group of scientists asked university students to study hard. (6, Catchinga few z's can help improve our performance. 問5 下線部(A)two groups of university students 「2つの大学生グルー 文の内容に即してそれぞれの実

以下の写真はソフィー・ハウの｢世界をより良くするための教訓｣という文章の一部なのですが、オレンジで線を引いた部分をどのように訳せば良いか分からないため、教えてください。 hold someone to accountで｢～に責任を問う｣ということから、｢そのゴールは私によ... Read More

Wales is a small but progressive country, the only country in the world to have legislated to protect the interests of future generations, the only country to have appointed someone independent to oversee this. Across the world, our systems of government, of politics, of economics have tended to act in the short term. And often, the decisions that are taken discount the interests of future generations and the planet. But in Wales, we're trying to change that by passing a law which requires not just our government but all of our main public institutions to demonstrate how they're acting for the long-term and how the decisions they take don't harm the interests of those yet to be born. And so as a mum of five and the world's only future generations commissioner, I want to share with you today some of the lessons we've learned about how we're trying to leave the world better than we found it. First of all, you must involve people in setting long-term goals. Ask them: What's the Wales or the world you want to leave behind to your children and your grandchildren? We held a national conversation -- the Wales We Want -- and people told us, "We want a low- carbon economy. We want you to help us keep people well rather than just treat them when they're ill. We want connected communities and a more equal Wales." And our government legislated to set seven national well-being goals to achieve that. Each institution has to demonstrate how they're meeting those goals, and they're held to account by me. You have to focus on the interconnections between different aspects of well-being. You need to talk often about why it's just as important to public health as it is to the environment to tackle high levels of air pollution, why diversity in the workforce is just as important to economic prosperity as it is to addressing inequality. Our institutions have a legal duty to act beyond their immediate remit to recognize those connections, work with unusual suspects. And so we're seeing hospitals in Wales working with the National Botanic Gardens to create spaces for nature on their sites. We're seeing offices in our environmental agency helping to find solutions to tackle childhood