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Assuming that there are no other forces on the object, the force that causes the acceleration of a falling object is the gravitational force (attractive force that exists between two masses). In problems, this assumption is usually used.

However, in Force = mass*acceleration it is important to remember it is net acceleration and net force. Thus, for an object falling in real life the acceleration is caused by the gravitational force and a drag force which results from the object moving through the air. You have to take into account all the forces on the object.

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The acceleration of falling objects is caused by the force of gravity. Gravity is a natural phenomenon by which all physical bodies are attracted to each other. On Earth, objects experience a gravitational force directed towards the center of the planet, leading to an acceleration towards the ground at a rate of approximately 9.81 m/s^2.

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