2. Indicate which is greater (>) or lesser (<) by writing the correct symbol. If the quantities are equal write (=). Show your solution. (a) 50 dm_0.005 mm (b) 0.03 Mg. 30 kg (c) 7.8x102 nm 0.78x107 µm (d) 2/3 km 1/5 Mm
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- (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
- When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, 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?6. Convert the following measurements mg.um kg.m а. 68 ms? hr2 b. 49mg/cm³ to ng/mm³ 7. Using Dimensional Analysis, check which of the following equations is or are correct. а. рgh3 — та b. avt = vh?1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h = 20.19 ± 0.01 mm w = 0.75 ± .02 mHow should the volume of the box be reported (central value ± uncertainty) incm3? Show solution.2. If the accepted value of the volume of the box in the previous question is 1300 cm3, is the measurement acceptable? Explain.
- 4. Accuracy is often expressed as an average of several measurements. Look at the target to the right. In your opinion, how well do the measurements on the target represent: (Justify your opinion.) a. Accuracy? b. Precision?4.0 m/s 3.0 kg A 3.0 kg cart is moving at a speed of 4.0 m/s to the right across a frictionless table, as shown above. It collides with a second cart of an unknown mass m that is initially at rest. The magnitude of the force F of the collision as a function of time t is shown in the graph below, wheret = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 1.6 m/s to the right. Assume that friction is negligible before, during, and after the collision. 10 Force (N) 1.0 2.0III. Use Excel to calculate the slopes of the trendline of the data in each of the following tables. T describe if the relationship of the variables is directly proportional, inversely proportional, or we correlated. 8. Angle (degrees) Length (cm) 60 1.1 120 1.2 180 1.1 240 1.2 300 1.1 9. Radius (m) No. of People Radius (m) No. of People 5 10 1 1 6 15 3 7 16 3 6 8 18 4 7 20 2.
- 1. If K has dimensions ML2/T2, the a in K= amv ? must A have the dimensions ML/T2. B. have the dimensions M. C. have the dimensions L/T2. D. have the dimensions L2/T?, E. be dimensionless.Which one of the following quantities has the dimensions of ML^2 /T^2 Select one: O a. mrv O b. mv O c. mv^2/r O d. mv^2A ruler can be reasonably read down to the nearest millimeter, while a Vernier caliper can be read to the nearest 0.1 millimeter. Suppose you want to measure an object with nominal length of 2 cm with a precision as close to 1% as possible. Which instrument can you use? (You can do a calculation to figure this out.) a. The ruler or the caliper. b. The ruler. c. The caliper. d. Neither, you would need a micrometer.