Introduction to Gravity

Gravity is a force attracting two bodies. Newton's law of universal gravitation defines it as proportional to masses and inversely to the square of the distance between their centers.Earth's Gravitational Constant

Earth's gravitational constant (G) is 6.67430 × 10^-11 N(m/kg)^2. It allows us to calculate the gravitational pull between Earth and other objects, crucial for understanding moon's gravity.Gravity at Earth's Surface

Gravity on Earth's surface is approximately 9.81 m/s^2. This acceleration is due to Earth's mass and the distance to its center, setting a reference for comparison with the moon.Moon's Average Distance

The average distance from the Earth to the moon is about 384,400 km. Gravitational acceleration decreases with distance, so it will be less on the moon than on Earth's surface.Calculating Moon's Gravity

To find the acceleration at the moon's distance, apply Newton's law using Earth’s mass (5.972 × 10^24 kg), the gravitational constant, and the moon's average distance.Acceleration Value Revealed

After calculations, the gravitational acceleration at the distance of the moon is roughly 0.0027 m/s^2. This weak force still influences tides and the moon’s orbital motion.Gravity's Universal Influence

Despite the reduced gravity at the moon's distance, it affects Earth significantly. It's vital for tidal patterns, ecosystem functioning, and has been since the Solar System's formation.What defines gravitational force?

Distance between objects

Mass and distance squared

Objects' velocity

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