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How do you apply inverse variation to problems?
If one value of a variable increases as another value of a different variable decreases in a mathematical equation, they are said to be inversely proportional or vary inversely. For example, the strength of the force of gravity decreases as the square of the interacting distance increases, so the strength of gravity is inversely proportional to the square of the distance, or strength ∝ 1/distance2.
Does the value of accelaration due to gravity increases in winter?
No. There's no reason to expect that to happen.
If someone shrunk the earth will there be less gravity?
No. Gravity depends on only two factors: mass and distance from the center of mass of the object. Gravity increases in proportion to the mass of the object and decreases in proportion tot he square of the distance from it. So doubling the mass doubles the gravity. Doubling distance cuts gravity to one quarter the original value. So, if you were to compress Earth to a smaller size without decreasing its mass, gravity where the surface originally was would remain the same. Gravity at the surface in its new position, closer to the center of mass would actually increase.
Does gravity decrease to one fourth of its value if a distance between two objects doubles?
No, gravity follows an inverse square law, which means it decreases with the square of the distance. Specifically, if the distance between two objects doubles, the force of gravity between them will decrease by a factor of four, not to one fourth of its value.
What is the value of g in the equation g8 pi t and how does it relate to time t?
The value of g in the equation g8 pi t represents the acceleration due to gravity. It is directly proportional to time t, meaning that as time increases, the acceleration due to gravity also increases.
What happens to the amount of distance an object travels when it speeds up?
The distance will increase as the speed (absolute value of velocity) increases.
What happens to the value of the Gravitational Potential Energy of a system of objects as the value of r increases?
The value of the Gravitational Potential Energy decreases as the distance (r) between the objects increases. This is because the gravitational force weakens with distance, resulting in a decrease in potential energy as the objects move farther apart.
What geographic factors does the value of gravity depend on?
The value of gravity depends on the mass of the Earth and the distance from the center of the Earth. Gravity is weaker at higher altitudes because you are farther from the Earth's center, and it is stronger at higher latitudes near the poles due to the oblong shape of the Earth.
How does the force of gravity between two bodies change when the distance between them is increased by 4?
The force of gravity between two bodies decreases when the distance between them is increased. This relationship follows an inverse square law, meaning that the force of gravity is inversely proportional to the square of the distance between the bodies. Therefore, if the distance is increased by a factor of 4, the force of gravity will decrease by a factor of 16.
Variation in the value of gravity?
Mass and distance alter gravity Mass is directly proportional to the gravitational force, but distance is inversely proportional. (In other words, greater mass means greater force, and greater distance means less force)
How does gravity change if you double the distance from the center of mass?
Gravity decreases by a factor of four when you double the distance from the center of mass. This is because gravity follows an inverse square law, meaning it weakens proportionally to the square of the distance.
What is the value of acceleration due to gravity in space?
The magnitude of acceleration due to gravity depends on the mass of the object toward which you're attracted by gravity, and on your distance from it. There are trillions of different possibilities in space.
