Conservation of momentum in a collision beween particles can be understood form

Options

A. Conservation of energy
B. Newton's first law
C. Newton's second law
D. Both Newton's second and third law

Explanation

To solve the question regarding the conservation of momentum in a collision between particles, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept of Momentum**:
Momentum (p) is defined as the product of mass (m) and velocity (v) of an object, given by the equation:
\[ p = mv \]

2. **Newton's Second Law**:
According to Newton's second law, the net external force (F) acting on a system is equal to the rate of change of momentum:
\[ F_{\text{external}} = \frac{dp}{dt} \]
If there are no external forces acting on the system (i.e., \( F_{\text{external}} = 0 \)), then:
\[ \frac{dp}{dt} = 0 \]
This implies that the momentum of the system is constant, meaning momentum is conserved.

3. **Analyzing a Collision**:
In a collision between two particles (e.g., two balls), they exert equal and opposite forces on each other due to Newton's third law. However, if we consider the two balls as a single system, the internal forces they exert on each other do not affect the total momentum of the system.

4. **Applying Newton's Third Law**:
Newton's third law states that for every action, there is an equal and opposite reaction. During the collision, the forces that the two particles exert on each other are equal in magnitude and opposite in direction. This means that while they may change their individual momenta, the total momentum of the system remains unchanged.

5. **Conclusion**:
Thus, we conclude that the conservation of momentum in a collision can be understood from both Newton's second law (which indicates that momentum is conserved when no external forces act on the system) and Newton's third law (which describes the internal forces during the collision). Therefore, the correct answer is:
\[ \text{Option D: Both Newton's second and third law} \]