Correct Option
The correct option is A-3, B-2, C-4, D-1
Explanation
Classical mechanics relies heavily on Newton's three laws of motion, which describe the relationship between the motion of an object and the forces acting on it. Additionally, the principle of conservation of momentum is a derivative concept essential for analyzing interactions within isolated systems.
Component Analysis
- A. First Law of Motion - 3. Law of Inertia:
Newton's First Law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. This inherent property of a body to resist changes in its state of motion is called inertia. Therefore, the First Law is often referred to as the Law of Inertia.
- B. Second Law of Motion - 2. Measurement of Force ($F=ma$):
Newton's Second Law states that the rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. Mathematically, this leads to the equation $F = ma$ (Force = mass × acceleration), which provides a quantitative measurement of force.
- C. Third Law of Motion - 4. Action and Reaction:
Newton's Third Law states that "to every action, there is always an equal and opposite reaction." This means that forces always occur in pairs; if object A exerts a force on object B, object B simultaneously exerts a force of equal magnitude and opposite direction on object A.
- D. Conservation of Momentum - 1. Application in collision problems:
The Law of Conservation of Momentum states that if no external force acts on a system, the total linear momentum of the system remains constant. This principle is the primary tool used to analyze and solve collision problems (both elastic and inelastic) and explosion scenarios.
Key Takeaway
Newton's First Law defines inertia; the Second Law quantifies force ($F=ma$); the Third Law describes action-reaction pairs; and Conservation of Momentum governs interactions like collisions in isolated systems.