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自然科學 大學

想問3-9的a跟c

Problems 3-1. Explain the difference between *(a) random and systematic error. (b) constant and proportional error. *(c) absolute and relative error. (d) mean and median. *3-2. Suggest two sources of systematic error and two sources of random error in measuring the length of a 3-m table with a 1-m metal rule. 3-3. Name three types of systematic errors. *3-4. Describe at least three systematic errors that might occur while weighing a solid on an analytical balance. *3-5. Describe at least three ways in which a systematic error might occur while using a pipet to transfer a known volume of liquid. 3-6. Describe how systematic method errors may be detected. *3-7. What kind of systematic errors are detected by varying the sample size? 3-8. A method of analysis yields masses of gold that are low by 0.4 mg. Calculate the percent relative error caused by this result if the mass of gold in the sample is (a) 500 mg. (b) 250 mg. V(c) 125 mg. (d) 60 mg. 3-9. The method described in Problem 3-8 is to be used for the analysis of ores that assay about 1.2% gold. What minimum sample mass should be taken if the relative érror resulting from a 0.4-mg loss is not to exceed *(a) -0.1%? (b) -0.4%? (c) -0.8%? (d) - 1.1%? 3-10. The color change of a chemical indicator requires an overtitration of 0.03 mL. Calculate the error if the total volume of titrant is percent relative (a) 50.00 mL. (c) 25.0 mL. 3-11. A loss of 0.4 mg of Zn occurs in the course of an percent relative analysis for that element. Calculate the error due to this loss if the mass of Zn in the sample is *(b) 10.0 mL. (d) 30.0 mL. 190 (c) 188 (d) 4.52 x 103 4.63 x 103 4.53 x 10 ³ √6 *(a) 30 mg. (b) 100 mg. *(c) 300 mg. (d) 500 mg. 3-12. Find the mean and median of each of the following sets of data. Determine the deviation from the mean for each data point within the sets, and find the mean devi- Vation for each set. Use a spreadsheet if it is convenient. *(a) 0.0110 0.0105 (b) 24.53 0.0104 24.68 24.81 24.77 39.61 862 (f) 850 MA 3-13. Challenge Problem: Richards and W the molar mass of lithium and colle data. 24.73 Experiment 1 2 3 4 5 6 194 447 X 10 7 448 X 107 4.58 X 10 (a) Find the mean molar t workers. (b) Find the median molar ma (c) Assuming that the cam molar mass of lithium is the absolute ertor and of the mean value demi Willard. (d) Find in the chemical ues for the molar mus since 1910, and ag a table or spreadshera 1817 given in the a Richards and Willd. Com mass versus year to la of lithium has chang Suggest possible abruptly about 18 ant de (e) The incredibly deals Richards and W that major changes will occur. Disc calculation in pat (f) What factors ha since 1910? (g) How would you mass? 6See Chapter 2 of Applications of Microsoft Excel in Analytical Chemistry, 4th ed., for information about statistical 7T. W. Richards and H. H. Willard, J. Am. Chem. Soc., 1910, 32, 4, DOI: 10.1021/ja01919a002. built-in statistical functions. "Answers are provided at the end of the book for questions and problems marked with an asterisk The I of ₂ or inc rce of able vas error c often in individu ate resul data in rtainties. dimensio andom e analysts The result

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自然科學 大學

求圈起來的幾題

補史名www asftrppfysfts 600) For Thoughtand Diseussion tneuish the Aristotelian and Galilean/Newtonian views ofihe ball bounees ofrawall with the same speedithad beforeithit Wall Has its momentum changed? Hasaforoe acted on the 2 Has aforee acted on the wall? Relate your answers to New aws of motion ten use the term "inertias to deseribe human sluggishness 5this usage related to the meaning ofFsinertiae in physics? does aceiling fan continue to rotate even after you have vitched it ofP? Wek erashes into a Stalled cear A student trying to explain the es ofthis event claims thar no forees are involved: the car Tin the way”so itgot hit Commen foot astronaut kicks a ball, hard, across aspace station balls apparent weightlessness mean he astronauts toes 下avity on Jupiters moon Io is one-fifth that on Would happen te your weight and to your mass if nIo? tis the direcetion of momentum oFamoving body? Does it Fthe body: plane aceelerates down the munway, you take your keys r poeket and suspend them by a thread. Do they hang force from the chairon you. iir? Hnot, what forees are fxerrisesaned Problems 85 $ 還2620Groeoeoeardaoeos WiA poaor Wonoeno0 Op ir oa 20。 Staring frorm rest and undergoing constan acceleratiom,a920-kg ar covers 410 min $.15 8. Find the foree on the car 21 dropping dontest, a student encatses am 83-g cgg in large Styrofoam block. fs g emn'texceed 2.0N and 計the bloek hits the g pow mueh must the Styror jompress on impaet) Note: The aceelei assoeialed with stOppi gravity while the Styrofe the ground. 22. Inatront-end collision, a 1400-kg car with shockzabsorbing bump: ems can withstand amaximum force of 75kN before damage Gccurs: Hthe maximum speed foranondamaging collision is 9.0 kmzh, by Bow much must he bumper be able to move relative to the car? section 4.4 The Force ofGravity 23。 Show that the units of aceeleration can be written as N/kg- Why doesitmake sense to give gas 9.8 N/kg when talking about imass and weight? 24. Your spaceship crashes on one of the Sun's planets, Fortunately 上 the ship's scales are intact and show that your weightis 680 N.H your mass is 58 kg, where are you? (imr: Consult AppendixEE) Your friend can barely lift a 35-kg concrete block on E: massive ablock could she lift on the Moon? 26 Acereal box says "net weight 350 grams” Whats the actual Weight ta in SLunits and (b) in ounees? 27. Youre asafety engineerforabridge spanning the U,S-Canadian border. U.S. speeifications permit a maximum load of 10 tons What load iimit should you speeify on the Canadian side. where welght is given in kilograms? 28.。 The gravitational acceleration atthe lntermational Space Stations altitude is about 91凶 oFits surface value. Whats the weightofa 64-kg astronaut atthis altitude? ection 4.5 Using Newton's SecondLaw A 50-kg parachutist deseends atasteady 40 km/h. What foree does air exert on the parachute? 30, A 960-kg motorboat accelerates away from adock at2.1 m/s Its propellerprovides a3.9-kN thrust force. What drag force does the water exert on the boat? An elevator aceelerates downward at2.4 ms. What force does the elevator's floor exertona52-kg passengery 32. At 560 metric tons, the Airbus A-380 is the World's largest air- liner Whats the upward force on an A-380 when the plane is (am flying at constant altitude and (b) aceelerating upward at 15m/s2? 33. Yourre an engineer working on Ares 1 NASAs replacement tor the space Shuttles. Performance speces call for afirst-stage TOcket Gapable ofaccelerating atotal mass 0f 600 Me vertically ftom Testt0 7700 km in 1.7 min. Youre asked to determine tbe re- quired engine thrust (force) and the foree exerted ona79-kg as- tronaut during Tiftoff. What do you Teport? 34. You step into an elevatorand itacceleratesto adownward speed gfF8.8 mAS in 2.4 5 Quantitatively compare your apparent weight during thistime with youracetual weight, 44.6 NewtonsThirdLaw ional foree does 3 5600-kg elephant exer 必 63. she jumps ofta140-emhi過台 人 rdheras she falls?

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自然科學 大學

4.59答案為什麼是a

mass, are 「 PASSAGE PROBLEMS 了 R/S BODY. Dancers experience jjmps they make. Tor example Speed7 sma- jZOnta] ) case7? he box )n foT 7 ere no an en- )1S at- 了1S and 1S Ve Up- glvVen 「graph 1 TV planet, when a dancef ]an head by 過e neck cause 負e head to $ 9g.4% of atypical personsm Janding after a Vertical Jump $ 4.0 m/s to restinatime of 0.20 S. 4,57 What 1$ the magnitude Of the average force that her neck exerts on her head during the ]anding? (3) ON; (b) 6O N; (c) 120 N: must exceed the jow down and come to Tes- The head is about as8. Video analysis ot a 65-kg dancer hows that her head decelerates from hthe force her neck exerts on her head during the ]anding, the force her head exerts On her neck 1S (3) the Sames: (b) greater; (co) smaller: (d) greater during the first half ot the land- uring the second halt of the ]anding. 4.,58 Compared Wit 9 and smaller d 4,59 While the dancer 1S in the air and holding a fixed bose what is the magnitude of the force her neck exertS On her heady (3 ON; (b) 6O N; (o]) 120 N; (0) 180 N. 4.60 The forces ona dancer can be measSsured directly When a dancer performs aJump On a force plate that measSures the 10rfce betWween her feet and the ground. A graph Of force verSus time es a Vertical jump performed on aforce plate is Shown lt es at 1S happening at 0.4 $? The dancer is (3) bendlng 0 1S acceleratling downward; (b) pushtung er legs and is almost ready to leave the ground (o in the air and at the to have just touched the 一 her jump; (d) landing and her feel Figure P4.60

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