 Text Solution Show Solution : By universal law of gravitation, <br> `F = (G xx m_(1) xx m_(2))/(r^(2))` <br> where `m_(1), m_(2)` = mass of two objects <br> r = distance between them. <br> The force becomes four times if the masses of both the bodies are doubled.
How does the gravitational force change between two objects when the distance between them is doubled? Open in App 4In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.
If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power). What happens to magnitude of the force of gravitation when I mass of one object is doubled II distance between the object is doubled? When the mass of an object is doubled then the force between them is doubled. When the distance between the objects is doubled then force between them is one fourth. When the masses of both objects are doubled then the force between them is four times. What happens to the magnitude of force of gravitation? Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases. What happens to the magnitude of the force of gravitation between?Ans: (i) When the mass of either body is doubled, the force is also doubled as per the following equation: (ii) When the distance between the objects is doubled, the force becomes one fourth of the original force as per the following equation: Similarly it can be shown that when the distance between the objects is … What happens to the magnitude of force of gravitation when the mass of one of the objects is tripled? Explanation: Answer: Explanation: a) if the mass of one object is tripled, then the gravitational force between them is tripled. What happens to the magnitude of the force of gravitation between two objects if the objects is tripled B objects is doubled c mass of both objects is doubled? Answer: From the relationship, (i) If the mass of one object (say body 1) is doubled, then Thus, the gravitational force between the two objects gets doubled. If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth. What happens to the magnitude of force of gravitation between two objects?Gravitational force -an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects. What happens to the magnitude of the forces of two objects? Forces cause acceleration, not motion. The law of action-reaction (Newton’s third law) explains the nature of the forces between the two interacting objects. According to the law, the force exerted by object 1 upon object 2 is equal in magnitude and opposite in direction to the force exerted by object 2 upon object 1. What happens if the mass of one object is doubled? (i) The mass of one object is doubled? According to the universal law of gravitation, the force between 2 objects (m1 and m2) is proportional to their plenty and reciprocally proportional to the sq. of the distance (R) between them. F = G (2mM/d 2) If the mass is doubled for one object. What happens to the gravitational force between two objects?(i) The mass of one object is doubled? (ii) The distance between the objects is doubled and tripled? (iii) The masses of both objects are doubled? Thus gravitational force gets reduced by 4 times. Thus gravitational force gets reduced by 9 times. Thus gravitational force becomes 4 times. What happens to the force between two objects when distance is doubled? When the mass of an object is doubled then the force between them is doubled. When the distance between the objects is doubled then force between them is one fourth. When the masses of both objects are doubled then the force between them is four times. Read about it: Are white dwarfs visible? How are gravity and a force the same? Gravity is an acceleration field…not a force. Its units are distance/time^2 (units of acceleration) whereas a force has units of (mass*distance)/time^2. When you put any two objects of any size or mass at the same distance from the “centroid” of a gravitational point they will each experience the same acceleration. As per the universal law of gravitation, every object in the universe attracts every other object by the force of attraction which is directly proportional to the product of masses of the objects and is inversely proportional to the square of the distance between them. This is mathematically given as: F = G(mM/d2) Where, (i) The mass of one object is doubled? According to the universal law of gravitation, the force between 2 objects (m1 and m2) is proportional to their plenty and reciprocally proportional to the sq. of the distance(R) between them. F = G(2mM/d2) If the mass is doubled for one object. F = 2F, so the force is also doubled. (ii) The distance between the objects is doubled and tripled If the distance between the objects is doubled and tripled If it’s doubled Hence, F = (GmM)/(2d)2 F = 1/4 (GmM)/d2 F = F/4 Force thus becomes one-fourth of its initial force. Now, if it’s tripled Hence, F = (GmM)/(3d)2 F = 1/9 (GmM)/d2 F = F/9 Force thus becomes one-ninth of its initial force. (iii) The masses of both objects are doubled? If masses of both the objects are doubled, then F = G(2mM/d2) F = 4F, Force will therefore be four times greater than its actual value. Articles to Explore:
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What happens to the magnitude of the force of gravitation between two objects if 03 a mass of one of the objects is tripled?
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