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Get Full Access to Physics - 4 Edition - Chapter 12 - Problem 64
Get Full Access to Physics - 4 Edition - Chapter 12 - Problem 64

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# Solved: Referring to the previous problem, suppose the rod

ISBN: 9780321611116 152

## Solution for problem 64 Chapter 12

Physics | 4th Edition

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Problem 64

Referring to the previous problem, suppose the rod connecting the two masses mis removed. In this case, the only force between the two masses is their mutual gravitational attraction. In addition, suppose the masses are spheres of radius aand mass that touch each other. (The Greek letter stands for the density of the masses.) (a) Write an expression for the gravitational force between the masses m.(b)Find the distance from the center of the Earth, r, for which the gravitational force found in part (a) is equal to the tidal force found in 63. This distance is known as the Roche limit. (c) Calculate the Roche limit for Saturn, assuming (The famous rings of Saturn are within the Roche limit for that planet. Thus, the innumerable small objects, composed mostly of ice, that make up the rings will never coalesce to form a moon.)

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Energy Behavior Temperature depends on amount of energy absorbed or reflected • Reflection depends on albedo – Describes the reflectivity of surfaces – Dark woodlands reflect 5 percent to 15 percent – Light grasslands reflect 25 percent • Absorption – Energy that is not reflected is absorbed – Different objects absorb different wavelengths – Hotter objects radiate energy more rapidly and at shorter wavelengths 9.3 Atmosphere Thin gaseous envelope that surrounds Earth – Gas molecules – Suspended particles of solid and liquid – Falling precipitation • Causes weather experienced every day • Responsible for trapping heat that keeps the Earth warm • Knowledge of structure and dynamics critical to understand severe weather Composition of the Atmosphere Composed mostly of nitrogen and oxygen – Smaller amounts of argon, water vapor, and carbon dioxide – Other trace elements and compounds • Water vapor – Important for cloud formation and circulation – Comes from evaporation off of Earth’s surface – Humidity describes amount of moisture in atmosphere at particular temperature • Relative humidity is the ratio of water vapor present to the amount that saturates the air • Increases at night because of cooler temps, decreases during the day due to heating Structure of the Atmosphere Water vapor content and temperature vary from Earth’s surface to it’s upper limits • Troposphere – All of Earth’s surface is within this layer – Upper boundary is tropopause – Temperature decreases with increasing altitude – Most visible characteristic is presence of clouds • Made from very small water droplets or ice crystals that condense from the atmosphere • Cumulus: puffy fair weather clouds • Cumulonimbus: tall, dark storm clouds – Contains most of the atmospheric carbon dioxide and methane Cloud Type Associated with Severe Weather Four aspects of atmosphere directly related to severe weather – Atmospheric pressure and circulation patterns – Vertical stability of the atmosphere – Coriolis effect (is a result of the earth's rotation. As air moves from high to low pressure in the northern hemisphere, it is deflected to the right by the Coriolis force.) – Interaction of different air masses Atmospheric Pressure and Circulation Atmospheric pressure also called barometric pressure – Weight of a column of air above a given point – Force exerted by molecules on surface • In the atmosphere, pressure decreases with increasing altitude – Nearly all of the weight of the atmosphere is in the lower atmosphere – Density and pressure decrease rapidly as you go to higher elevations Cont. Changes in air temperature and air movement are responsible for horizontal changes in pressure – Temperature influences pressure because cold air is more dense and exerts greater pressure on surface – Global variations in temperature cause global winds • At equator, air is warm and low in density – Creates low pressure zones at the equator – Air rises, condenses, forms clouds and rain – Cooler, drier air sinks at latitudes around 30° causing deserts – Similar vertical circulation cells observed at middle and high latitudes Cont. Jet streams – Midlatitude air masses of different temperatures colliding near tropopause • Westerly winds encircling the globe due to Coriolis effect • Greater the temperature difference, faster the flow Northern Hemisphere has two jet streams – Polar jet stream • Stronger of the two and boundary between cold arctic polar and warm subtropical and tropical air masses – Subtropical jet stream • Weak during the summer months but strongest in winter when temperature gradient between low­latitude and midlatitude air masses is greatest

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