The correct form of Newton's second law is :

Options

A. `F = (Deltap)/(Deltat)`
B. `F = m (Deltav)/(Delta t)`
C. `F = v (Delta m)/(Delta t)`
D. `F = mv`

Explanation

To solve the question regarding the correct form of Newton's second law, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Newton's Second Law**:
Newton's second law of motion relates the force acting on an object to its acceleration and mass. It can be expressed in terms of momentum.

2. **Definition of Momentum**:
Momentum (P) is defined as the product of mass (m) and velocity (v) of an object. Mathematically, it is given by:
\[ P = m \cdot v \]

3. **Change in Momentum**:
The change in momentum (ΔP) over a time interval (Δt) can be expressed as:
\[ \Delta P = P_{final} - P_{initial} \]

4. **Rate of Change of Momentum**:
The rate of change of momentum is given by:
\[ \text{Rate of change of momentum} = \frac{\Delta P}{\Delta t} \]

5. **Relating Force to Change in Momentum**:
According to Newton's second law, the net force (F) acting on an object is equal to the rate of change of momentum:
\[ F = \frac{\Delta P}{\Delta t} \]

6. **Conclusion**:
Therefore, the correct form of Newton's second law can be summarized as:
\[ F = \frac{\Delta P}{\Delta t} \]

### Final Answer:
The correct form of Newton's second law is \( F = \frac{\Delta P}{\Delta t} \).

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