The acceleration produced in a body by an unbalanced force is
The acceleration produced in a body by an unbalanced force is directly proportional to the force. This relationship is described by Newton’s second law of motion, which states that acceleration is directly proportional to the force applied and inversely proportional to the mass of the object. Therefore, the correct answer is [B] directly proportional to force.
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The acceleration produced in a body by an unbalanced force is directly proportional to the force. This principle is articulated in Newton’s second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In mathematical terms, F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration produced. This relationship implies that as the force acting on an object increases, the acceleration it experiences also increases, assuming the mass remains constant. Therefore, the correct answer is [B] directly proportional to force, as per the fundamental principles of Newtonian mechanics. This relationship is foundational in understanding the dynamics of motion and the effects of forces on objects.