Chapter 1: Problem 3
You have decided to select a new car by using the scientific method. How might you proceed?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 1: Problem 3
You have decided to select a new car by using the scientific method. How might you proceed?
These are the key concepts you need to understand to accurately answer the question.
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If a metric ton is \(1.000 \times 10^{3} \mathrm{kg}\), how many \(85 \mathrm{kg}\) people can safely occupy an elevator that can hold a maximum mass of exactly 1 metric ton?
The radius of the planet Saturn is \(6.03 \times 10^{7} \mathrm{m},\) and its mass is \(5.68 \times 10^{26} \mathrm{kg}\) a. Find the density of Saturn (its mass divided by its volume) in grams per cubic centimeter. (The volume of a sphere is given by \(\frac{4}{3} \pi r^{3}\).) b. Find the surface area of Saturn in square meters. (The surface area of a sphere is given by \(\left.4 \pi r^{2} .\right)\)
The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by the equation $$T=2 \pi \sqrt{\frac{L}{a_{g}}}$$ where \(L\) is the length of the pendulum and \(a_{g}\) is the acceleration due to gravity, which has units of length divided by time squared. Check this equation for dimensional consistency.
You can obtain a rough estimate of the size of a molecule with the following simple experiment: Let a droplet of oil spread out on a fairly large but smooth water surface. The resulting "oil slick" that forms on the surface of the water will be approximately one molecule thick. Given an oil droplet with a mass of \(9.00 \times 10^{-7} \mathrm{kg}\) and a density of \(918 \mathrm{kg} / \mathrm{m}^{3}\) that spreads out to form a circle with a radius of \(41.8 \mathrm{cm}\) on the water surface, what is the approximate diameter of an oil molecule?
Use the fact that the speed of light in a vacuum is about \(3.00 \times 10^{8} \mathrm{m} / \mathrm{s}\) to determine how many kilometers a pulse from a laser beam travels in exactly one hour.
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