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Calculate the gravitational force between two 100 kg objects located 10 m from one another. F, = 6.673x10 -"| (100)(100) N 10 (100)(200) F = 6.673×10-" 10? N How does the gravitational force change if the mass of one of the objects doubles?

Calculate the gravitational force between two 100 kg objects located 10 m from one another. F, = 6.673x10 -"| (100)(100) N 10 (100)(200) F = 6.673×10-" 10? N How does the gravitational force change if the mass of one of the objects doubles?

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
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Gravitational Forces (A) Gravitational, Electrical, Magnetic, and Nuclear Forces Math Connections Name: Date: Gravitational Forces Gravitational force is one of the four fundamental forces of nature. It is always attractive and acts between all particles of matter. Law of Universal Gravitation This law states that any two objects with mass exert a gravitational force on each other. The force has the same magnitude on each object. The magnitude is directly proportional to the product of the objects' masses. It is inversely proportional to the square of the distance between the objects. тт, Where, = G(! d' F. = gravitational force between two objects G= gravitational constant = 6.673 × 10-11 N x m²/kg? m, and m, = masses of the two objects in kg d = distance between the two objects in m 1. Calculate the gravitational force between two 100 kg objects located 10 m from one another. F = 6.673×10"| (100)(100) 10? N (100)(200) 10² F = 6.673×10-" N 2. How does the gravitational force change if the mass of one of the objects doubles? If the mass of one of the objects doubles, the force due to gravity 3. Is the relationship between the gravitational force and the mass directly proportional or inversely proportional? Circle one. Directly Proportional - As one amount increases, another amount increases at the same rate Indirectly Proportional - As one amount increases, another amount decreases at the same rate 4. If the gravitational force between two objects is 16 N, and the mass of one of the objects doubles, what is the resulting gravitational force? Use your inference from question 2 to help you calculate the resulting force. 16(2)= N +x
Transcribed Image Text:Gravitational Forces (A) Gravitational, Electrical, Magnetic, and Nuclear Forces Math Connections Name: Date: Gravitational Forces Gravitational force is one of the four fundamental forces of nature. It is always attractive and acts between all particles of matter. Law of Universal Gravitation This law states that any two objects with mass exert a gravitational force on each other. The force has the same magnitude on each object. The magnitude is directly proportional to the product of the objects' masses. It is inversely proportional to the square of the distance between the objects. тт, Where, = G(! d' F. = gravitational force between two objects G= gravitational constant = 6.673 × 10-11 N x m²/kg? m, and m, = masses of the two objects in kg d = distance between the two objects in m 1. Calculate the gravitational force between two 100 kg objects located 10 m from one another. F = 6.673×10"| (100)(100) 10? N (100)(200) 10² F = 6.673×10-" N 2. How does the gravitational force change if the mass of one of the objects doubles? If the mass of one of the objects doubles, the force due to gravity 3. Is the relationship between the gravitational force and the mass directly proportional or inversely proportional? Circle one. Directly Proportional - As one amount increases, another amount increases at the same rate Indirectly Proportional - As one amount increases, another amount decreases at the same rate 4. If the gravitational force between two objects is 16 N, and the mass of one of the objects doubles, what is the resulting gravitational force? Use your inference from question 2 to help you calculate the resulting force. 16(2)= N +x
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