Significant Figures & Scientific Notation 1. For each of the following quantities, identify the number of significant figures: a. 2.045 m b. 0.00345 kg c. 0.0500 s d. 2500 km e. 10000 s 2. Compute the following quantities to the correct number of significant figures: a. 12. 234 + 1.25 : b. 3. 45 x 2.3 = C. 0 . 00345 X 0.00956 : d. 10500 x 555 : e. 0. 156 + 0- 00 723 - 3. Write the following quantities in scientific notation and convert to basic SI units (e.g. kg, s, m,etc.) a. 2.045 m b. 0.00345 kg c. 0.0500 s d. 2500 km e. 10000 ms f. 0.003700 nC6- lm In the following experiment, you will be measuring the dimensions and mass of a cylinder of your choosing. Ultimately, you will be calculating the density of your cylinder and comarin; with our classmates. ' V' l I! ' l (LEFT): The supplies you'll use for this experiment. Notice the four types of cylinders shownr You may select any of the cylinders to conduct your measurements. (RIGHT): An example ofhow the caliper should be used to measure the diameter ofthe cylinder. Leaving the caliper on the table, where it's level, reduces human error. For all measured quantities, please record all data in appropriate units (grams and centimeters) and write in the Standard form (i.e. ) 1. Record the mass of the cylinder: +/- 2. Fill in the table below t0r the diameter and height/length of the cylinder. Record these quantities using two tools: the ruler and the digital caliper (the caliper has uncertainty of 0.002). Use the excel spreadsheet on blackboard for calculating volume and density. If you're unsure about using excel, you can calculate the density by hand using the following formula: v: "rt h & p : E. V l i bl +25% dens: Blair: digital. Cal-9w 7. Discussion Please answer the following questions: 1. Take a look at your calculated density . Which instrument, the ruler or digital caliper, do you predict to be the more accurate instrument? Justify your answer (Hint: How many significant figures are there in each case?) 2. Download the excel file \"Uncertainty Calculator.xls\" from blackboard and use it to calculate the uncertainty in density: uncertainty in density using ruler: uncertainty in density using digital caliper: 3. From the results in question 2, which instrument gives a more accurate result? How can you tell? Does it match your prediction in question 1? 4. calculated density Are they very different or almost the same? What can you say about the density of objects with different sizes and shapes but made from the same material? (5 pts)