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True or False: If you fall long enough and far enough gravity and air resistance will become equal

Question

True or False:

If you fall long enough and far enough, gravity and air resistance will become equal.

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Solution

Understanding the Concept

  1. Definition of Forces: When an object is in free fall, it is influenced by two main forces: gravity, which pulls the object downward, and air resistance (or drag), which opposes the motion of the object as it moves through the air.

  2. Terminal Velocity: As an object falls, it accelerates due to gravity, but as its speed increases, air resistance also increases. Eventually, the force of air resistance will equal the force of gravity acting on the object. When these two forces are equal, the object stops accelerating and continues to fall at a constant speed known as terminal velocity.

Conclusion

Since the forces of gravity and air resistance can balance each other out during free fall, the statement is True. Falling long enough and far enough will result in the object reaching a point where the gravitational force and air resistance are equal, leading to terminal velocity.

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