(A) : A car can run on road because of force applied by road on the car.
(R ) : Friction provides the necessary force for translatory motion for the car.

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the
C. (A) is true but ( R) is false
D. Both (A) and (R ) are false

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "A car can run on the road because of the force applied by the road on the car."
- This implies that there is a force exerted by the road that enables the car to move.

2. **Understanding the Reason (R)**:
- The reason states that "Friction provides the necessary force for translatory motion for the car."
- This indicates that the force responsible for the car's movement is due to friction between the car's tires and the road surface.

3. **Analyzing the Relationship**:
- When a car is in motion, its wheels exert a downward force on the road due to gravity and the weight of the car.
- According to Newton's third law, for every action, there is an equal and opposite reaction. Therefore, the road exerts an upward normal force on the car and also a horizontal force due to friction.

4. **Role of Friction**:
- The horizontal force provided by friction is essential for the car to accelerate and maintain its motion. Without this frictional force, the tires would simply spin without propelling the car forward.

5. **Conclusion**:
- Both the assertion and the reason are true. The assertion correctly states that the road applies a force on the car, and the reason correctly explains that this force is due to friction, which is necessary for the translatory motion of the car.

### Final Answer:
- Both A and R are true, and R is the correct explanation of A.