想請問這題🙏，有點看不懂圖三的公式是從何而來，卡住了

EXAMPLE 21.11 FIELD OF A UNIFORMLY CHARGED DISK A nonconducting disk of radius R has a uniform positive surface charge density o. Find the electric field at a point along the axis of the disk a distance x from its center. Assume that x is positive. SOLUTION IDENTIFY and SET UP: Figure 21.25 shows the situation. We rep- resent the charge distribution as a collection of concentric rings of charge dQ. In Example 21.9 we obtained Eq. (21.8) for the field on the axis of a single uniformly charged ring, so all we need do here is integrate the contributions of our rings. EXECUTE: A typical ring has charge dQ, inner radius r, and outer radius r + dr. Its area is approximately equal to its width dr times its circumference 2πr, or dA = 2πr dr. The charge per unit area is σ = dQ/dA, so the charge of the ring is do = o da = 2πor dr. We use dQ in place of Q in Eq. (21.8), the expression for the field due to a ring that we found in Example 21.9, and replace the ring 21.25 Our sketch for this problem. Idr dQ X P dEx dEx radius a with r. Then the field component dEx at point P due to this ring is 1 2πσrx dr 4π€0 (x² + ²)3/2 SOLUTION Continued

求這兩題詳解～😢😢

- ons is nilot od plass lo gorol arai (s) 29vom Sion los = 9 ) A 170 kg crate hangs from the end of affope of length L = 12.0 m. You push 人 horizontally on the crate with a varying force É to move it distance d = 3.50 m to L the side (Fig. 7-20). (a) What is the mag- nitude of † when the crate is in this final position? During the crate's displace-lid 250 bisw ment, what are (b) the total work done 32 on it, (c) the work done by the grav- 16 Hoold itational force on the crate, and (d) the kd work done by the pull on the crate from the rope? (e) Knowing that the crate is Figure 7-20 Problem 9. motionless before and after its displace- ment, use the answers to (b), (c), and (d) to find the work force + does on the crate. (f) Why is the work of your force not . ( equal to the product of the horizontal displacement and the answer to (a)? - -- your

請問有人知道這兩題的算法與答案嗎(´･ω･`)

運動與 力學 Problem6(填充題) A steel ball of mass mi = 80 g has an initial temperature Ti = 200 °C. It is immersed in m2 = 250 g of water in a copper cup of mass m3 = 100 g. The initial temperature of the water and cup is T2 = 20 °C Find the final temperature when the system reaches thermal equilibrium. (01小題) . ) SPECIFIC HEATS (20 °C AND 1 ATM) c (J/kg.K) 力學定律(25) 变(9) 與熱容量(24) P-LOS 想氣體與功(2 體運動論與內 TP-L06 NP-003 Aluminum Copper Gold Steel/Iron Lead Mercury Water Ice (-10 °C) C CJ/mol-K) 24.3 24.4 25.6 25.0 26.8 28.0 75.4 38 900 385 130 450 130 140 4190 2100 6.波動與光 7 近代物理 8.近代科技1 The final temperature= 分數= 3 可嘗試次數= 5 ° °C 相對誤差=0.05 目前剩餘2次,可繼續嘗試 9.近代科技2 : :29 10 近代科技3 量子電腦 这三 重設 X 三 VPYTHON 下午08 星期日 2021/6/13 https://physexp thu edu tw/AP/C/NP/NP-003/NP-003-T-06 php

大一普化 5.36求解

5.38 9389 信4 5,42 sphere (about 30 Where the temperatu lbove the surface of Earth), >and presSure are 一235C : h gd 交 and 3.00 XX 10 atm, respectively. Calculate the final Volume of the balloon. The temperature ot 2.5 L of a gas initially at SUN increased to 2507”C at constant volume. Calculate the final pressure of the gas in atm. The pressure of 6.0 L of an ideal gas in aflexible contalner 1S decreased to one-third of its original presSure, and 1ts absolute temperature 1s decreased by one-half. What 1s the flnal volume of the gas? A gas evolved during the tfermentation of glucose (wine making) has a volume of 0.78 L when mea- sured at 20.1?C and 1.00 atm. What was the volume of this gas at the fermentation temperature of 36.5 C and 1.00 atm presSure? An ideal gas originally at 0.85 atm and 66”C was allowed to expand until its final Volume, preSSure, and temperature were 94 mL, 0.60 atm, and 45 C, respectively. What was its initial volume? The volume of a gas at STP is 488 mL. Calculate 1ts volume at 22.5 atm and 1507C. A gas at 772 mmHg and 35.0”C Qceuples a Volume of 6.85工. Calculate its volume at STEP. Dry ice is solid carbon dioxide. A 0.050-g sample ot dry ice js placed in an evacuated 4.6-L vessel at 30。C. Caleulate the pressure inside the VesSel after all the dry ice has been conVerted to CO gasS, Avolume of 0.280Lofagas at STP weighs 0.400 g. Calculate the molar mass Of the gas. Aquantity of gas Weighing 7.10g at741tor and 445C oeeupies a volume of 5.40L. What is its molar mass? Si人2 5.93 5.54 Dalt 和Ae0U76 5 5.56

只有氧是不規則的命名嗎？ Tetroxide vs tetraoxide Pentoxide vs pentaoxide PCl5 後面Cl 就是 pentachloride

6 机 BLE 2.6 | Prefixes Used to Indicate Number im Chemical Names U選4 7)o7o- g- 7二 Numberindicated 1 7efrg- 2e77o- Agexog- 7epfg- Ocfg- 7o7g- 選和os和 eu |,, decg- INTERACTIVE EXAMPLE 2.8 SOLUTION JPHABnEB 呈_Atomsg, Miolecules, and Ins consider the names ot the s will no To see how these Tules apply, 沿 同 lent compounds formed by nitrfgg 時 as tematic Name 了 同 loxi Nitrous oX1ce de 。 imitrogen InonoX1 1 9 ii monoxide NI 時 4 NO Nitrogen N os Dinitrogen TioX1 同 Noo, Dinitrogen tetIOX1 Noo Dinitrogen pentoxi 2 avoid awkward pron that to hen the element beglns Wtt 7oO/ dinitrogen tetrdox ng examples fthe prefiX trogen tetroxide, tt their common names- esystematic names to Notice from the precedi often drop the final ? % 20 example, N204 1S called dinlt called carbon monoxide, 7 carbo Some compounds are always Te are water, ammonia, and hydrogen pe H2O2 are never used. n monoox1l ferred to by roxide- Th Naming Type 山 Binary Compounds 1. Name each of the following compounds: a. ,PCD DBGIG MS 09 2. From the following systematic nameS, Write the formula for ea a.。 Sulfur hexafluoride b. Sulfur trioxide c.。 Carbon dioxide 1 Formula Name a. PCl Phosphorus pentdehloride Be Phosphorus trichloride c. SO2 Sulfur dioxide 2. Name Formula a.。 Sulfur hexafluoride SFe b.。 Sulfur trioxide SO ce. Carbon dioxide CO

求解～答案都是E

例6:絕熱可逆系統 (1) 1.0 mole monoatomic ideal gas at300K and 10.0 atm is expanded adiabatically and reversibly to 1.0 atm. Calculate the final volume (in D. &=0 【107 台綜大(B) (A)$22GB) 1852 。(C) 6 。(DX2芭 (E) 11.2 (2) What's the work (in R) in (1 ? 【107 台綜大(B) (A) -210 (B) -270 (C) -360 (D) -320 (E) -440