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The direction and magnitude of force that is applied to an object affects how much is done on the object.

Question

The direction and magnitude of force that is applied to an object affects how much work is done on the object.

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Solution

The statement you provided relates to the concept of "work" in physics. Work is defined as the energy transferred to or from an object via the application of force along a displacement.

  1. Direction of Force: Work is only done when the force applied has a component in the direction of the displacement of the object. This can be expressed mathematically by the formula: W=Fdcos(θ) W = F \cdot d \cdot \cos(\theta) where:

    • W W is the work done,
    • F F is the magnitude of the force,
    • d d is the distance over which the force is applied, and
    • θ \theta is the angle between the force and the direction of displacement.
  2. Magnitude of Force: The greater the magnitude of the force applied, the more work is done—as long as the force is applied in the direction of the displacement. If you double the force while maintaining the same distance, you effectively double the work done.

In summary, both the direction and magnitude of the applied force are critical for determining the amount of work done on an object. Work increases with greater force and aligns more closely with the direction of motion.

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