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What is the formula for Newton's second law of motion?

  1. F=m/a

  2. F=ma

  3. F=mv

  4. F=m^2a

The correct answer is: F=ma

Newton's second law of motion is defined by the relationship between an object's mass, its acceleration, and the force applied to it. The correct formula, represented as \( F = ma \), indicates that the force \( F \) acting on an object is equal to the mass \( m \) of the object multiplied by its acceleration \( a \). This formula illustrates how the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, making it fundamental to the understanding of dynamics in physics. The other options present different relationships that do not accurately reflect this law. For instance, the option that suggests \( F = m/a \) improperly indicates that force is the mass divided by acceleration, which contradicts the basic principles of motion. The option stating \( F = mv \) confuses force with momentum, as momentum is actually defined as mass times velocity, not force. Lastly, \( F = m^2a \) incorrectly suggests that force is proportional to the square of mass, which is not a representation of Newton's second law. Thus, \( F = ma \) stands as the accurate and recognized description of how force, mass, and acceleration interrelate.