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  • Unbalanced Forces: Calculating Force to Accelerate a Box
    The forces are unbalanced when you push a box of books until it is moving at 0.5 miles per second. Here's why:

    * Newton's First Law: An object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

    * To start motion: You need to apply a force greater than the forces opposing it (like friction). This creates an unbalanced force.

    * To reach 0.5 miles per second: The force you apply must overcome the forces of friction, and continue to accelerate the box until it reaches that speed.

    In other words: If the forces were balanced, the box would either stay at rest or continue moving at a constant speed. To get the box moving and accelerating to 0.5 miles per second, you need to apply a stronger force than what's resisting it.

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