Which statement expresses the relationship between force, mass, and acceleration?

Which statement expresses the relationship between force, mass, and acceleration?

• A. Force Equals Mass Times Acceleration
• B. Mass Equals Force Times Acceleration
• C. Acceleration Equals Force Times Mass
• D. Force Equals Acceleration Times Velocity

Answer: (A)

Force equals mass times acceleration. This is Newton’s second law: F = m a. It means the push or pull on an object (force) causes it to speed up (acceleration) in proportion to how much mass it has. If you keep the force the same and increase the mass, the acceleration drops; if you keep the mass the same and increase the force, the acceleration goes up proportionally. The direction of the acceleration matches the direction of the applied force. The units line up neatly: a newton is a kilogram-meter per second squared (N = kg·m/s^2). Other forms would mix units in ways that don’t describe how motion responds to force, such as trying to equate mass to force times acceleration, or acceleration to force times mass, or involving velocity in the basic relation.

Force equals mass times acceleration. This is Newton’s second law: F = m a. It means the push or pull on an object (force) causes it to speed up (acceleration) in proportion to how much mass it has. If you keep the force the same and increase the mass, the acceleration drops; if you keep the mass the same and increase the force, the acceleration goes up proportionally. The direction of the acceleration matches the direction of the applied force. The units line up neatly: a newton is a kilogram-meter per second squared (N = kg·m/s^2). Other forms would mix units in ways that don’t describe how motion responds to force, such as trying to equate mass to force times acceleration, or acceleration to force times mass, or involving velocity in the basic relation.