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Gravitational acceleration

physical science Maturity 11-13

Big things pull on other things.

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This pull makes things fall down. It works on every object. It helps keep us on the ground. It is a very big pull. Do you feel it too?

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Big things pull on other things. This pull makes things fall.

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In space, things fall at the same rate. It does not matter how heavy they are. This happens when there is no air to slow them down. On Earth, this pull changes in some spots. It can change based on where you are. Some places have a different pull than others. This is why things fall at different speeds on different planets. The Sun has a very strong pull.
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The Moon has a much smaller pull.

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When an object falls in a vacuum, it speeds up. A vacuum is a space with no air. Without air to slow it down, we call this free fall. The speed grows because of gravitational acceleration. This is the steady gain in speed from gravity.

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In a vacuum, all objects fall at the same rate. It does not matter how heavy they are. This is true even if they are made of different things. Scientists study these rates using a tool called gravimetry.

On Earth, gravity is not the same everywhere. It changes based on your height and where you are. The standard value for Earth is 9.80665 m/s². Some places have different values. We call these gravity anomalies.

Gravity depends on mass and distance. Mass is how much matter is in an object. The bigger the mass, the stronger the pull. The closer you are, the stronger the pull feels too.

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Space missions help us learn more. In 2002, the GRACE mission used two probes. They measured the gravity around Earth. In 2011, the GRACE Follow-On mission studied the Moon. These probes help us map the gravity of our world.

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Have you ever wondered why things fall down? When an object falls in a vacuum, it experiences gravitational acceleration. A vacuum is a space with no air to cause drag. Without air, an object is in a state called free fall. This means it gains speed steadily due to gravity alone.

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Interestingly, all objects fall at the same rate in a vacuum. It does not matter how heavy they are or what they are made of. Scientists study these falling rates using a field called gravimetry.

Gravity works because of how mass and distance interact. Newton's law of universal gravitation explains this pull between two masses. The strength of the pull depends on the size of the masses. It also depends on how far apart they are. If one object is much larger than the other, we can treat it as a source. This source creates a gravitational field that pulls on smaller objects. The pull always points toward the center of the larger mass.

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Earth's gravity is not the same in every single spot. The pull at the surface is a mix of gravity and centrifugal force. This force comes from the way Earth rotates. The exact strength changes based on your altitude and your location. Scientists use a standard value of 9.80665 m/s² for Earth. Some places have different values known as gravity anomalies. These differences can happen because of the shape of the planet.

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Space missions help us map these gravity changes very closely. In 2002, the GRACE mission launched two probes named Tom and Jerry. They traveled in polar orbit around our Earth. They measured the distance between them to track gravity changes. Later, from 2011 to 2012, the Gravity Recovery and Interior Laboratory mission studied the Moon. Two probes called Ebb and Flow orbited the Moon to help us learn about its makeup.

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Gravity is different all across our solar system. The Sun has a very high acceleration of 27.9 m/s². On the Moon, the acceleration is much lower at 1.65 m/s². Even the giant planets have different strengths. Jupiter has an acceleration of 24.79 m/s². You can imagine how much faster you would fall on Jupiter compared to Earth. These numbers show how much mass affects the pull of every world.

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Gravitational acceleration is a specific type of movement in physics. It describes the steady gain in speed that an object experiences during free fall. This occurs within a vacuum, which is a space entirely free of air. Because there is no air, the object does not experience drag. Drag is the resistance that usually slows things down when they move through the atmosphere. In this state, the increase in speed is caused exclusively by gravitational attraction.

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When objects are in the same gravitational field and in a vacuum, they all accelerate at the same rate. This remains true regardless of the mass or the composition of the bodies. Scientists who measure and analyze these specific rates use a field called gravimetry. On the surface of the Earth, the magnitude of gravity is not a single, simple number. It results from the combined effect of gravitation and centrifugal force. Centrifugal force is created by the rotation of the Earth. Because of this, the free fall acceleration varies depending on altitude, latitude, and longitude.

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To understand the mechanism, we look to Newton's law of universal gravitation. This law states that a gravitational force exists between any two masses. The magnitude of this force is equal for each mass. The force is always aligned to draw the two masses toward each other. The strength of this attraction depends on the masses involved and the distance between them. If one object is much larger than the other, we treat the large object as a source. This source creates a gravitational field. The acceleration of a smaller sample mass depends only on the mass of the source and the distance to it. It does not depend on the mass of the smaller object itself.

Scientists use different models depending on how close an object is to a massive body. The "far-field" model works well for calculating the orbits of satellites. It treats large bodies, like planets, as point masses. This is possible because the distances between planets are much larger than the planets themselves. However, for more precision, scientists use "near-field" models. These models use the principle of superposition to account for how density is distributed through a body. This helps account for things like the bulge at Earth's equator or irregular mass concentrations on the Moon caused by meteor impacts.

Space missions have provided incredible data about these fields. In 2002, the Gravity Recovery and Climate Experiment, or GRACE, mission launched. It used two probes nicknamed "Tom" and "Jerry" in polar orbit around Earth. They measured changes in the distance between the probes to track the gravitational field. Between 2011 and 2012, the Gravity Recovery and Interior Laboratory mission studied the Moon. This mission used two probes named "Ebb" and "Flow." By orbiting the Moon, they helped scientists infer information about its physical makeup for future navigation.

Gravity values vary wildly across our solar system. The Sun has a massive acceleration of 27.9 m/s². In contrast, the Moon has a much lower acceleration of 1.65 m/s². The giant planets also show high values, such as Jupiter at 24.79 m/s². Even small bodies like Ceres have a tiny acceleration of 0.029 m/s². To visualize this, consider how long it takes to fall 100 meters. On Earth, it takes about 14.5 seconds. On the Sun, that same fall would take only 0.85 seconds. On Ceres, it would take 26.7 seconds.

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Modern physics offers a different view through Einstein's theory of general relativity. In this theory, gravitation is not viewed as a force between bodies. Instead, it is an attribute of curved spacetime. Massive objects distort the geometry of spacetime in their vicinity. Other particles move along trajectories determined by this curvature. In this model, the gravitational force is considered a fictitious force. Objects in free fall are not actually accelerating in the traditional sense. Instead, they are traveling along straight lines, called geodesics, through curved spacetime.

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