Chapter 1: Problem 17
The difference between a law and a theory is the difference between what and why. Explain.
Chapter 1: Problem 17
The difference between a law and a theory is the difference between what and why. Explain.
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Get started for freeAt the Amundsen-Scott South Pole base station in Antarctica, when the temperature is \(-100.0^{\circ} \mathrm{F}\), researchers who live there can join the "300 Club" by stepping into a sauna heated to \(200.0^{\circ} \mathrm{F}\) then quickly running outside and around the pole that marks the South Pole. What are these temperatures in \({ }^{\circ} \mathrm{C}\) ? What are these temperatures in \(\mathrm{K} ?\) If you measured the temperatures only in \({ }^{\circ} \mathrm{C}\) and \(\mathrm{K}\), can you become a member of the "300 Club" (that is, is there a 300 --degree difference between the temperature extremes when measured in \({ }^{\circ} \mathrm{C}\) and \(\mathrm{K}\) )?
Perform the following unit conversions. a. Congratulations! You and your spouse are the proud parents of a new baby, born while you are studying in \(\Omega\) country that uses the metric system. The nurse has informed you that the baby weighs \(3.91 \mathrm{~kg}\) and measures \(51.4 \mathrm{~cm}\). Convert your baby's weight to pounds and ounces and her length to inches (rounded to the nearest quarter inch). b. The circumference of the earth is \(25,000 \mathrm{mi}\) at the equator. What is the circumference in kilometers? in meters? c. A rectangular solid measures \(1.0 \mathrm{~m}\) by \(5.6 \mathrm{~cm}\) by \(2.1 \mathrm{dm}\). Express its volume in cubic meters, liters, cubic inches, and cubic feet.
To determine the volume of a cube, a student measured one of the dimensions of the cube several times. If the true dimension of the cube is \(10.62 \mathrm{~cm}\), give an example of four sets of measurements that would illustrate the following. a. imprecise and inaccurate data b. precise but inaccurate data c. precise and accurate data Give a possible explanation as to why data can be imprecise or inaccurate. What is wrong with saying a set of measurements is imprecise but accurate?
The U.S. trade deficit at the beginning of 2005 was $$\$ 475,000,000$$. If the wealthiest \(1.00 \%\) of the U.S. population \((297,000,000)\) contributed an equal amount of money to bring the trade deficit to $$\$ 0$$, how many dollars would each person contribute? If one of these people were to pay his or her share in nickels only, how many nickels are needed? Another person living abroad at the time decides to pay in pounds sterling ( \(\mathrm{f}\) ). How many pounds sterling does this person contribute (assume a conversion rate of \(1 \mathrm{f}=\$ 1.869)\) ?
a. How many kilograms are in 1 teragram? b. How many nanometers are in \(6.50 \times 10^{2}\) terameters? c. How many kilograms are in 25 femtograms? d. How many liters are in \(8.0\) cubic decimeters? e. How many microliters are in 1 milliliter? f. How many picograms are in 1 microgram?
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