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- A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?
- (a) A person’s blood pressure is measured to be 1202mmHg . What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm He?This was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)(a) What is the coefficient of variation (CV)? Why do you study such variations? Explain using a real-life example.(b) Among the different measures of dispersion which one do you think is better and why?The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city- GB’s ($.’0) No. of hhs 375-450 41 450-525 95 525-600 31 600-675 61 675-750 19 (i) Calculate the ideal measures of dispersion.(ii) Make comments from your findings.
- Calculating the Number of Molecules in a Cubic Meter of GasHow many molecules are in a typical object, such as gas in a tire or water in a glass? This calculation can give us an idea of how large N typically is. Let’s calculate the number of molecules in the air that a typical healthyyoung adult inhales in one breath, with a volume of 500 mL, at standard temperature and pressure (STP), which is defined as 0 ºC and atmospheric pressure. (Our young adult is apparently outside in winter.)StrategyBecause pressure, volume, and temperature are all specified, we can use the ideal gas law, pV = NkB T, to find NA car engine moves a piston with a circular crosssection of 7.500 ± 0.002 cm in diameter a distance of 3.250 ± 0.001 cm to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume.A car engine moves a piston with a circular cross sectionof 7.500 ± 0.002 cm diameter a distance of3.250 ± 0.001 cm to compress the gas in the cylinder. (a)By what amount is the gas decreased in volume in cubiccentimeters? (b) Find the uncertainty in this volume
- 0.3 Suppose the average daily metabolic rate for certain types of animals can be expressed as a function of mass by r= 120.9m where m is the mass of the animal (in kilograms) and r is the metabolic rate (in kcal per day). " dm dr dt a. If the mass of an animal is changing at a rate of find dt b. Determine for a 100-kg animal that is gaining mass at a rate of 3 kg per day. dr dt ... dr dt " dm a. If the mass of an animal is changing at a rate of dt " find dr 기 dtConvert 1.050 g/cm3into base SI units. Express your answer in scientificnotation with the correct number of significant figures.A person's blood pressure is measured to be 129±8 mm Hg.129±8 mm Hg. What is the percent uncertainty? percent uncertainty: %% Assuming the same percent uncertainty and the same measurement device, what is the uncertainty in a blood pressure measurement of 93 mm Hg93 mm Hg? uncertainity: mm Hgmm Hg Question Credit: OpenStax College Physics