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For a given force, the greater the mass of an object, the smaller its will be.

Question

For a given force, the greater the mass of an object, the smaller its _____ will be.

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Solution

The statement you're referring to pertains to Newton's Second Law of Motion, which can be expressed through the formula:

F=ma F = ma

where:

  • F F is the force applied,
  • m m is the mass of the object, and
  • a a is the acceleration.

Explanation

From this relationship, we can deduce that if the force F F is constant and the mass m m of an object increases, the acceleration a a of that object must decrease to maintain the equality. Thus, for a given force, the greater the mass of an object, the smaller its acceleration will be.

This principle emphasizes the inverse relationship between mass and acceleration under a constant force, illustrating the fundamental mechanics of how objects behave when subjected to forces.

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