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Apparent Weight

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College Physics I – Introduction

Definition

Apparent weight is the force exerted by an object on a surface or support, which can differ from the object's true weight due to external forces or acceleration. It is a crucial concept in understanding the behavior of objects in various physical situations, particularly those involving Newton's laws of motion and Archimedes' principle.

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5 Must Know Facts For Your Next Test

  1. Apparent weight is the force exerted by an object on a surface or support, which can be different from the object's true weight due to external forces or acceleration.
  2. When an object is accelerating, its apparent weight will be different from its true weight due to the additional forces acting on the object.
  3. In the context of Archimedes' principle, an object's apparent weight is reduced when it is immersed in a fluid due to the buoyant force acting on the object.
  4. The difference between an object's apparent weight and true weight can be used to determine the magnitude of the external forces or the buoyant force acting on the object.
  5. Apparent weight is an important concept in understanding the behavior of objects in various physical situations, such as elevators, scales, and objects submerged in fluids.

Review Questions

  • Explain how apparent weight differs from true weight and the factors that can affect apparent weight.
    • Apparent weight is the force exerted by an object on a surface or support, which can differ from the object's true weight due to external forces or acceleration. True weight is the actual weight of an object, which is the force of gravity acting on the object and is equal to the object's mass multiplied by the acceleration due to gravity. Factors that can affect apparent weight include the presence of additional forces, such as normal forces or buoyant forces, as well as the acceleration of the object. For example, an object's apparent weight will be less than its true weight when it is submerged in a fluid due to the buoyant force acting on the object.
  • Describe how apparent weight is related to Archimedes' principle and the concept of buoyancy.
    • According to Archimedes' principle, when an object is immersed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This buoyant force reduces the apparent weight of the object, making it appear to weigh less than its true weight. The difference between an object's apparent weight and true weight when submerged in a fluid can be used to determine the magnitude of the buoyant force acting on the object, which is a key application of Archimedes' principle. The apparent weight of an object in a fluid is equal to its true weight minus the buoyant force exerted by the fluid on the object.
  • Analyze the relationship between apparent weight, normal force, and the forces acting on an object in an elevator during different stages of motion.
    • The apparent weight of an object in an elevator is related to the normal force exerted by the elevator floor on the object, as well as the forces acting on the object during different stages of motion. When the elevator is at rest or moving at a constant velocity, the apparent weight of the object is equal to its true weight, and the normal force exerted by the floor is also equal to the object's true weight. However, when the elevator is accelerating upward, the apparent weight of the object will be greater than its true weight, as the normal force exerted by the floor must be greater than the object's true weight to produce the upward acceleration. Conversely, when the elevator is accelerating downward, the apparent weight of the object will be less than its true weight, as the normal force exerted by the floor must be less than the object's true weight to produce the downward acceleration. Understanding the relationship between apparent weight, normal force, and the forces acting on an object in an elevator is crucial for analyzing the dynamics of the system.
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