How does distance affect the strength of the force of gravity




















You witness the first factor in everyday life - more massive objects are heavier. The second factor, distance, is less familiar, as it takes a distance of many thousands of kilometers to significantly weaken the pull of Earth's gravity. Newton's law of gravitation describes very accurately how mass and distance affect the force of gravity.

Newton's law of universal gravitation states that the gravitational force between two objects is proportional to the mass of both objects, divided by the square of the distance between the objects.

Or more simply:. You can use this law to work out how much gravity is on an object. The mass of the two objects, denoted in the above equation as m 1 and m 2 , is the first factor that affects the amount of gravity that acts on each of the objects.

What is the difference between force and acceleration? You may have noticed that the gravitational force equation is symmetric for our two objects — does this mean that the gravitational force that you exert on the Earth is as strong as that exerted on you by the Earth?

This may seem puzzling at first, so let's take care to distinguish between force , F , and acceleration , a. Your gravitational acceleration is the rate at which your speed increases as you are drawn toward another object how quickly you become attracted to it. Your gravitational force is the product of your acceleration and your mass, m. Let's consider the gravitational force between you and the Earth.

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