The Universal Law of Gravitation and Kepler's Laws

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What is the Universal Law of Gravitation?

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The Universal Law of Gravitation states that every point mass attracts every other point mass in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

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What is the formula for gravitational force?

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F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the centers of the two masses.

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What is Kepler's First Law?

Back

Kepler's First Law states that the orbit of a planet around the sun is an ellipse, with the sun at one of the two foci.

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What is Kepler's Second Law?

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Kepler's Second Law states that a line segment joining a planet and the sun sweeps out equal areas during equal intervals of time, meaning a planet moves faster when it is closer to the sun.

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What is Kepler's Third Law?

Back

Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

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What are the foci of an ellipse?

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The foci of an ellipse are two fixed points located along the major axis, such that the sum of the distances from any point on the ellipse to the two foci is constant.

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How does mass affect gravitational force?

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Gravitational force increases with the mass of the objects involved; doubling the mass of one object will double the gravitational force between them.

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How does distance affect gravitational force?

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Gravitational force decreases with the square of the distance between the centers of two masses; if the distance is doubled, the gravitational force becomes one-fourth as strong.

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What is weight?

Back

Weight is the force exerted by gravity on an object, calculated as the product of mass and gravitational acceleration (W = m * g).

Front

If an object weighs 885 N, what is its mass?

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Mass = Weight / Gravitational acceleration = 885 N / 9.81 m/s² ≈ 90 kg.