この問題の解説を日本語でお願いします🙏

1. A particle of mass m moves in one-dimensional potential given by V(x) = Am cos(x) where λ, A > 0, with initial position xo and initial velocity vo. Draw a graph of the potential, and describe the motion of the particle in the following cases: TT a) x₁ = and v₁ = 0; 22 b) = = 0 and v0 = 0; 3πt 22 Xo c) Xo = - and vo= -2√A. - 2. A particle is dropped in the presence of Stokes drag Farag = -bv, where is the velocity of the particle and b> 0 is a constant. Write down the equation of motion in terms of , and show that the vertical component of the equation of motion is satisfied by: v₂(t) = mg 19 (exp(-)-1) b What is the terminal velocity of the particle? Is it possible to determine the terminal velocity without solving the equation of motion?

この問題の解説を日本語でお願いします🙏

1. A particle of mass m moves in one-dimensional potential given by V(x) = Am cos(x) where λ, A > 0, with initial position xo and initial velocity vo. Draw a graph of the potential, and describe the motion of the particle in the following cases: TT a) x₁ = and v₁ = 0; 22 b) = = 0 and v0 = 0; 3πt 22 Xo c) Xo = - and vo= -2√A. - 2. A particle is dropped in the presence of Stokes drag Farag = -bv, where is the velocity of the particle and b> 0 is a constant. Write down the equation of motion in terms of , and show that the vertical component of the equation of motion is satisfied by: v₂(t) = mg 19 (exp(-)-1) b What is the terminal velocity of the particle? Is it possible to determine the terminal velocity without solving the equation of motion?

画像の4.2の問題の解き方を教えてください。

106 K M X(T) M. F sin (NT) (1)X 100 -100 ( XImax 80 0 0 4 Dimensional Scaling Analysis + KX = F sin (2T), X(0) = Xo, 1 n 2 10 T 3 Fig. 4.1 The elementary problem of a mass on spring with an applied force: (Left) dimensional parameters, (Right) solutions X(T) for various parameters and (Inset) the amplitude in relation to the forcing frequency ada 4.2 The governing equation for the linear mass-spring system shown in Fig. 4.1 is d²X dT² dX dT\T=0 20 = Vo, where X(T) [m] is the position of the mass as a function of time with mass M [kg], and spring coefficient K [N/m], magnitude of the applied force, F [N], forcing frequency, 2 [s], as well as general initial conditions, Nondimensionalize and select length- and time-scales L, T to normalise the coef- ficients of the terms on the left side of the ODE and the initial condition for position. Write and solve the scaled problem, and identify the dimensionless parameter for the ratio of the forcing frequency to resonant frequency, where the solution's amplitude grows without bound, as shown for 22 in Fig. 4.1. 4.3 Consider the initial value problem for a damped driven nonlinear oscillator:

画像の問題を教えてください！

106 K M X(T) M. F sin (NT) (1)X 100 -100 ( XImax 80 0 0 4 Dimensional Scaling Analysis + KX = F sin (2T), X(0) = Xo, 1 n 2 10 T 3 Fig. 4.1 The elementary problem of a mass on spring with an applied force: (Left) dimensional parameters, (Right) solutions X(T) for various parameters and (Inset) the amplitude in relation to the forcing frequency ada 4.2 The governing equation for the linear mass-spring system shown in Fig. 4.1 is d²X dT² dX dT\T=0 20 = Vo, where X(T) [m] is the position of the mass as a function of time with mass M [kg], and spring coefficient K [N/m], magnitude of the applied force, F [N], forcing frequency, 2 [s], as well as general initial conditions, Nondimensionalize and select length- and time-scales L, T to normalise the coef- ficients of the terms on the left side of the ODE and the initial condition for position. Write and solve the scaled problem, and identify the dimensionless parameter for the ratio of the forcing frequency to resonant frequency, where the solution's amplitude grows without bound, as shown for 22 in Fig. 4.1. 4.3 Consider the initial value problem for a damped driven nonlinear oscillator:

この問題の解き方がわからないです。含まれるCa2+の量は分かったのですがそこから先がわからないです。教えて貰えると助かりますm(_ _)m

純度が 99.00 mass%の塩化カルシウム(CaCl) 試薬を使用して、 カルシウムイオン Ca²+ を 500ppm 含む 水溶液 2000 mL を調製する。 必要な試薬の質量は何gになるか計算せよ。 なお、Ca²+のモル質量は Ca と同じとみなし、 調製した溶液の密度は1.000gmLであるとする。

答え合わせの為、答えを教えて頂きたいです。 よろしくお願いします。ビジネス英語です。

Working with words 1 Complete the sentences with the words in bold. Change the form of the word in bold or add another word to it. supply 1 It's important to build good relationships with different suppliers. 2 Our supply chain begins with the manufacturer in India and ends in our UK shops. is much higher but it's transport 3 The cost of air faster. show 4 Customers from all over Europe visit our in Paris and Milan. invent 5 Every item in our photographic records of each of them. middle 6 The problem with using is that it adds to the final cost of products because we have to add on their fee. is unique, so we keep ship 7 We have a large. track 8 We use barcodes to stock coming in and out of the warehouse. made 9 All our pots are _, which makes them expensive, but our target customer doesn't want anything mass-produced. original 10 The arriving in three days. of the of the products is printed on the bottom of the box. 2 Underline the correct words in italics to complete the sentences. 1 The book is currently out of stock, but it is on / out of order, so we'll have it soon. 2 We need to stock up on / run out of headed paper. Could you put an order in? 3 I ran low on/out of ink, so I couldn't print out the report. 4 We can keep track of/ on track our order by satellite. 5 Let's stop at the next service station. We are running low/out on petrol. Business 1 Complete the phone call between Virginie, a customer, and Kevin, a call handler. Put the words in italics in the correct order. Kevin Good afternoon, you're speaking to Kevin. How can I help you? Virginie Hello, I am up/chasing/an/order chasing up an order I placed three weeks ago. Kevin account /take/I/your/details / Can please? 2 Virginie Yes. The account number is 572638. Kevin OK. If you bear with me a moment, I'll into / look/it 3 Let me see. Well, my /to / information / according it is still on order. 4 Virginie I really need to know happened /to/has/it/ what 5 Could check/me/you/it/for/out 6 ? Kevin Certainly. I'll back/you/to/hour / within/get/ the 7 Virginie Thank you. 2 Kevin calls Virginie back. Complete their conversation with the phrases from the list. put the order straight through asap charge it to was dispatched on check it out as quick as we can must have gone wrong Kevin Hello, this is Kevin from DYK calling. I've got some information about your order. Virginie Oh, thanks for calling back. So, what's happened to it? Kevin Well, we put the order straight through to the warehouse, and it 2_ the 25th. Virginie But I haven't received it yet. Kevin I'm sorry about that. Can you confirm the delivery address? Virginie We wanted it delivered to our Brussels office. Kevin Oh, something 3 It looks like it might have gone to your Paris office instead. I'll 4 straightaway. Virginie I've already been waiting three weeks. Could you just send it again 5 ? Kevin OK, no problem. We'll resend it Virginie Thank you. And please not the Paris one. the Brussels account,

並び替えの問題なんですが難しすぎてできる方といて欲しいです🙇‍♀️

does overfishing affect local communities that rely on fishing on a small ocale? 3 Grammar Check Unscramble the following words and complete the sentences. 1. The number of tourists to Japan [ continue, increase, likely, is, to, to ], The number of tourists to Japan 2. Iwill go first [ the, in, up, unless, next, shows, Jessica ] five minutes. ive minutes. Iwill go first 3. An iceberg hides nearly 90 percent of [ surface, mass, the, its, below ]. An iceberg hides nearly 90 percent of

これ読んだんですけど、自分は世界史を理解してなかったので分からなくて翻訳アプリ使ったんですけどそれでも分からなかったので分かる方できれば解読お願いします┏●

Denmark in World War II お んれ By Hannah Arendt Hannab Arendt (1906-1975) was a political scientist! and pbilosopber born in Hanover, Germany. Wben Hitler came to power, sbe was forced to leave Germany and came to the United States in 1940. Sbe continued ber academic career by lecturing and teacbing at arious colleges, including The New Scbool for Social Researcb in New York City. Among the many books sbe urote were Eichmann in Jerusalem, On Revolution, and The Origins of Totalitarianism. Editor's Insert During the Second World War. the Germans invaded Denmark in April, 1940. In the beginning of her essay, Hannah Arendt explains that of the four countries almost completely immune to anti-Semitism- Denmark, Sweden, Italy, and Bulgaria Denmark challenged its German masters directly. As soon as the German authorities talked about forcing Jews to wear the yellow badge,' the Danes replied that all Danish citizens, including the King, would be wearing it the next day if the policy were carried out. In addition, all Danish government officials threatened 舌は the German authorities with their immediate resignation if the Germans started to implement any anti-Jewish actions. The following excerpt from Eicbmann in Jerusatem shows how the Danes sabotaged the German plan to carry out the mass extermination of the Jews. only 2タカ人の What happened then was truly amazing; compared with what took place in other European countries, everything went topsy-turvey. In August, ー after the German offensive in Russia had failed, the Afrika Korns 1943 had surrendered in Tunisia, and the Allies had invaded Italy すgovernment canceled its 1940 agreement with Germany which had permitted German troops the right to pass through the country. Thereupon. the Danish workers decided that they could help a bit in hurrying things そのうえに up: riots broke out in Danish shipyards, where the dock workers refused to repair German ships and then went on strike. The German militarv commander proclaimed a state of emergency and imposed martial la and Himmler thought this was the right moment to tackle the Te the Swedish す。 (continued on next page) themselves as Jews secret police), and overseer of the concentration camps

このサイトのβは次の二式を満たす角度であると書いてある所が理解できません。 なぜβは次の二式を満たすのですか？ http://w3e.kanazawa-it.ac.jp/math/physics/category/mechanics/masspoint_mechanic... 続きを読む

() y<oo の場合 (不足減衰) 位置: ?=4e~Ycos(gk二og) (4, o :定数) ー(⑬③) 、 の 速度 : ッーー =テー4e-7% イッcos(et 十 o) 十 osin(cof 十 o) } =テー4eoe-7 cos(oみ十 の --- (2) ここで, は次の2式を満たす角度であ る. の cos(c一 ) = っ , sin(w一の = っ

やり方と答え教えてください🥺

科学 第2回講義 2. 運動の法則 な六mら) A ニュートンの運動の第一法則 (慣性の法則) 物体は 外から力を受けなければ, 静止を続けるが, 等速直線運動を続ける. これを, 慣性の法則 或いは ニュートンの運動の第 一法則 という. B ニュートンの運動の第二法則 物体にカが働くときは, 力の方向に加速度を生じ. そ の大きさ a [m/s2]は, カの大きさ た[N]に比例し, 物 体の質量 7 [kg]に反比例する. これを ニュートン の運動の第二法則 といい, 次式で示される. 7g =た MKS 単位は ニュートン で質量 1kg の物体に 1m/s2の加速度を生じさせるカカを 1newton(N) とい う. 長さに /ヵ 質量にkg. 時間にs を用いる 単位系を MKS 絶対単位系 という. 個是1. 一一特言和OKg の物体に, 5m/sZ の加速度を生じさせる 力は何N であるか. (例題) 2 一匠量 3③ トンの自動車に 1500 ニュートンの力が作用 するときの加速度を求めよ. C 作用・反作用の法則(ニニュートンの運動の第三法 則) 運動の第三法則 (作用・反作用の法則) 作用があれば必ず反作用がある. その大きさ相等しく, 一直線上、 反対向きである. 3. 質量と重さ (親切な物理より) 物体を作っている 物質の分量 を 質量という. キログラム (k g). グラム (g) は 質量の単位 である. 質量 (mass)は あるいは /7で表す 地球上の物体は地球に引かれている. 物体を 地球が引く力 を 重力 といい. 重力の大 きさ を 重さ (重量) という. 重力, 重さ(weight は 或いは で示す. 手にもった物体をはなすと落ちていき, 物体は鉛直下 向きの加速度をもって運動する. この加速度は, 地球 が物体を引く力 即ち 重力(gravity) によって生ず る. 重力が 物体に鉛直下向きの加速度 を与える. こ れが 重力加速度> である. g= 98Om/s2 質量 7 の物体に働く 重力 W は と=/jg の カカたに を, 加速度』にゅを入れる. = /g 1kg重 は 質量1 kgの物体を 地球が引く力の大 きさ である のえきさを汐るのにねの宴/)ら7る, ばねが受けるカカと と ばねの伸び(縮み) は比例 する. た= ん