[list=1][*]Which three of the seven fundamental units are useful to mechanics this first semester?[/*][*]Convert the radius of the earth [math]6.37\times 10^6m[/math] to km.[/*][*]How old are the roots of the current world timekeeping system?[/*][*]A hydrogen ground state electron radius is 52.9pm. How many meters is that?[/*][*]Which tends to make the better marksman: Accuracy or precision?[/*][*]How many significant digits do the following numbers have: 300, 409, 17.03, 0.0032, 1.56x10[sup]11[/sup], 1.003, 1.000?[/*][*]A person stands on a scale that reads whole pounds. The result is 161 lb. What is the absolute error of the measurement? Relative error?[/*][*]For the scale in the problem above will the absolute error change for a different person? Relative error?[/*][*]What is the quantization error in a 10 bit microcontroller with a FSR of 5.0V? Absolute error?[/*][*]What is the quantization error on a standard ENGLISH ruler? Absolute error?[/*][*]What three types of errors exist? Which is related to calibration? Which is inherent in devices?[/*][*]You measure the blackbody temperature of the night sky three times and read: 7.3C, 9.1C and 8.7C. Assuming the temperature fluctuation is due to your device, how should you represent this result with its associated error if we assume a 95% confidence interval? Feel free to use GeoGebra for this.[/*][*]Does the standard deviation of a population change dramatically as more data comes in? Standard error?[/*][*]How might we use a low-precision device to make a precise measurement of some natural constant like the speed of light in vacuum?[/*][*]The mean of a data set is 3.45 and the standard error is 0.003. How should the result be written using a 95% confidence interval?[br][/*][/list]

1. meters, kilograms, seconds[br]2. 6370 km[br]3. around 5000 yrs old[br]4. 5.29x10[sup]-11[/sup]m[br]5. precision[br]6. 1, 3, 4, 2, 3, 4, 4[br]7. 1/2 lb, 0.00313 lb[br]8. no, yes.[br]9. 0.0049, 0.0024[br]10. 1/16 inch, 1/32 inch[br]11. systematic, random, blunders. systematic. random.[br]12. 8.4 +/- 0.9 C[br]13. no. yes.[br]14. make many measurements. The error will shrink as [math]\sqrt{N}.[/math][br]15. 3.450 +/- 0.006. If you have a non-zero digit for the thousandths place on the mean, use it.