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Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = where G is the gravitational constant and r is the distance between the bodies. dF (a) Find dr dF dr dF in the context of this problem? dr What is the meaning of dF represents the amount of force per distance. dr dF represents the rate of change of the mass with respect to the distance between the bodies. dr dF represents the rate of change of the distance between the bodies with respect to the force. dr dF represents the rate of change of the mass with respect to the force. dr dF represents the rate of change of the force with respect to the distance between the bodies. dr What does the minus sign in the expression indicate? O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. The minus sign indicates that the bodies are being forced in the negative direction. The minus sign indicates that the force between the bodies is decreasing. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? N/km

Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = where G is the gravitational constant and r is the distance between the bodies. dF (a) Find dr dF dr dF in the context of this problem? dr What is the meaning of dF represents the amount of force per distance. dr dF represents the rate of change of the mass with respect to the distance between the bodies. dr dF represents the rate of change of the distance between the bodies with respect to the force. dr dF represents the rate of change of the mass with respect to the force. dr dF represents the rate of change of the force with respect to the distance between the bodies. dr What does the minus sign in the expression indicate? O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. The minus sign indicates that the bodies are being forced in the negative direction. The minus sign indicates that the force between the bodies is decreasing. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? N/km

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 35E
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Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = 2 where G is the gravitational constant and r is the distance between the bodies. dF (а) Find dr dF dr dF in the context of this problem? dr What is the meaning of dF represents the amount of force per distance. dr dF represents the rate of change of the mass with respect to the distance between the bodies. dr dF represents the rate of change of the distance between the bodies with respect to the force. dr dF represents the rate of change of the mass with respect to the force. dr dF represents the rate of change of the force with respect to the distance between the bodies. dr What does the minus sign in the expression indicate? The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. The minus sign indicates that the bodies are being forced in the negative direction. The minus sign indicates that the force between the bodies is decreasing. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? N/km Need Help? Read It O O O O O O O O O
Transcribed Image Text:Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = 2 where G is the gravitational constant and r is the distance between the bodies. dF (а) Find dr dF dr dF in the context of this problem? dr What is the meaning of dF represents the amount of force per distance. dr dF represents the rate of change of the mass with respect to the distance between the bodies. dr dF represents the rate of change of the distance between the bodies with respect to the force. dr dF represents the rate of change of the mass with respect to the force. dr dF represents the rate of change of the force with respect to the distance between the bodies. dr What does the minus sign in the expression indicate? The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. The minus sign indicates that the bodies are being forced in the negative direction. The minus sign indicates that the force between the bodies is decreasing. The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? N/km Need Help? Read It O O O O O O O O O
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