The frictional force between two surfaces is independent of

Options

A. Nature of surface
B. Size of the body
C. Area of contact
D. Mass of the body

Answer

To solve the question regarding the independence of the frictional force between two surfaces, we can break down the explanation into a step-by-step analysis:

### Step-by-Step Solution:

1. **Understanding Friction**:
- Friction is a force that opposes the relative motion between two surfaces in contact. It arises from the interactions at the microscopic level between the surfaces.

2. **Components of Contact Force**:
- When two bodies come into contact, a contact force acts between them. This contact force can be broken down into two components:
- **Normal Force (N)**: Acts perpendicular to the surfaces in contact.
- **Frictional Force (F)**: Acts parallel to the surfaces in contact and opposes the motion.

3. **Frictional Force Formula**:
- The frictional force can be mathematically expressed as:
\[ F = \mu N \]
- Here, \( \mu \) is the coefficient of friction, which depends on the nature of the surfaces in contact, and \( N \) is the normal force.

4. **Factors Affecting Friction**:
- The frictional force depends on:
- The coefficient of friction (\( \mu \)), which is determined by the materials of the surfaces.
- The normal force (\( N \)), which is influenced by the weight of the object (mass and gravitational force).

5. **Independence from Surface Area**:
- A key point is that the frictional force is independent of the surface area of contact between the two bodies. This means that regardless of how large or small the area of contact is, the frictional force remains the same for a given normal force and coefficient of friction.

6. **Conclusion**:
- Therefore, the frictional force between two surfaces is independent of the area of contact. The correct answer to the question is that the frictional force does not depend on the surface area of contact.

### Final Answer:
The frictional force between two surfaces is independent of the area of contact.

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