What happens to the acceleration of a body if the mass is increased while the same force is applied?

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When the mass of a body is increased while applying the same force, the acceleration of the body decreases according to Newton's second law of motion, which states that force equals mass times acceleration (F = ma). This relationship can be rearranged to express acceleration as acceleration = force/mass.

When the force remains constant and the mass increases, the denominator in this equation becomes larger. As a result, the overall value of the acceleration must decrease because a larger mass requires a greater force to produce the same amount of acceleration. Thus, with an increase in mass while keeping the force constant, the acceleration will lessen. This fundamental principle illustrates how the behavior of objects under force is influenced by their mass and is a central concept in mechanics.

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