ANS:A - equation of dynamics

The equation of dynamics refers to Newton's second law of motion, which is one of the fundamental principles of classical mechanics. It states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be expressed as: F=ma Where:

• F is the net force acting on the object,
• m is the mass of the object, and
• a is the acceleration of the object.

This equation describes the relationship between the motion of an object and the forces acting upon it. It indicates that the greater the force applied to an object, the greater the acceleration it experiences, and vice versa. Additionally, the acceleration of an object is inversely proportional to its mass, meaning that objects with greater mass require more force to achieve the same acceleration as objects with less mass. Newton's second law is extremely important in understanding and predicting the motion of objects under the influence of forces. It allows us to analyze and calculate the behavior of objects in various physical situations, from the motion of planets to the behavior of particles in accelerators. Furthermore, the equation of dynamics is fundamental in the development of classical mechanics and forms the basis for many other laws and principles in physics. It is widely used in engineering, physics, and many other scientific disciplines to solve problems related to motion, force, and acceleration.