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7. Choose two of the following three problems to answer. You may need the following concepts from physics: Mass = Density > Volume Mass = Linear Density x Length Work = Force x Distance Weight (i.e. force due to gravity near the surface of Earth) = Mass x g, where g = 9.8 m/s² a. Find the work needed to lift a 15-meter-long chain with a mass of 10 kilograms if it is hanging from a tall building. b. Find the work needed to pump water out of a tank that is the shape of an inverted cone. The diameter of the cone is 4 meters, and its height is 5 meters. The tank is full of water, which has a density of 1000 kg/m³. The water must be pumped just to the upper rim of the tank to leave the tank. C c. Find the work done by the sun's gravitational force if it pulls an asteroid from a distance of 4 x 10° meters in to a distance of 2 x 10° meters. The force exerted by the sun on the asteroid is given as a function of the distance, x meters, between the sun and the asteroid by F(x) = 5x1012 A

7. Choose two of the following three problems to answer. You may need the following concepts from physics: Mass = Density > Volume Mass = Linear Density x Length Work = Force x Distance Weight (i.e. force due to gravity near the surface of Earth) = Mass x g, where g = 9.8 m/s² a. Find the work needed to lift a 15-meter-long chain with a mass of 10 kilograms if it is hanging from a tall building. b. Find the work needed to pump water out of a tank that is the shape of an inverted cone. The diameter of the cone is 4 meters, and its height is 5 meters. The tank is full of water, which has a density of 1000 kg/m³. The water must be pumped just to the upper rim of the tank to leave the tank. C c. Find the work done by the sun's gravitational force if it pulls an asteroid from a distance of 4 x 10° meters in to a distance of 2 x 10° meters. The force exerted by the sun on the asteroid is given as a function of the distance, x meters, between the sun and the asteroid by F(x) = 5x1012 A

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Choose two of the following three problems to answer. You may need the following concepts from physics: Mass = Density > Volume Mass = Linear Density x Length Work = Force x Distance Weight (i.e. force due to gravity near the surface of Earth) = Mass x g, where g = 9.8 m/s² a. Find the work needed to lift a 15-meter-long chain with a mass of 10 kilograms if it is hanging from a tall building. b. Find the work needed to pump water out of a tank that is the shape of an inverted cone. The diameter of the cone is 4 meters, and its height is 5 meters. The tank is full of water, which has a density of 1000 kg/m³. The water must be pumped just to the upper rim of the tank to leave the tank. C c. Find the work done by the sun's gravitational force if it pulls an asteroid from a distance of 4 x 10° meters in to a distance of 2 x 10° meters. The force exerted by the sun on the asteroid is given as a function of the distance, x meters, between the sun and the asteroid by F(x) = 5x1012 A
Transcribed Image Text:7. Choose two of the following three problems to answer. You may need the following concepts from physics: Mass = Density > Volume Mass = Linear Density x Length Work = Force x Distance Weight (i.e. force due to gravity near the surface of Earth) = Mass x g, where g = 9.8 m/s² a. Find the work needed to lift a 15-meter-long chain with a mass of 10 kilograms if it is hanging from a tall building. b. Find the work needed to pump water out of a tank that is the shape of an inverted cone. The diameter of the cone is 4 meters, and its height is 5 meters. The tank is full of water, which has a density of 1000 kg/m³. The water must be pumped just to the upper rim of the tank to leave the tank. C c. Find the work done by the sun's gravitational force if it pulls an asteroid from a distance of 4 x 10° meters in to a distance of 2 x 10° meters. The force exerted by the sun on the asteroid is given as a function of the distance, x meters, between the sun and the asteroid by F(x) = 5x1012 A
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