When a car takes a sudden turn it is likely to fall.

Options

A. Away from the centre of curvature
B. Towards the centre of curvature
C. Towards forward direction
D. Towards backward direction

Answer

**Step-by-Step Solution:**

1. **Understanding the Scenario**: When a car takes a sudden turn, it is subjected to various forces. The car's path is curved, and we need to analyze the forces acting on it during this maneuver.

2. **Identify the Forces**: The primary forces acting on the car when it turns are the centripetal force (which keeps the car moving in a circular path) and the centrifugal force (which is perceived as acting outward from the center of the turn).

3. **Centripetal Force**: This force is directed towards the center of curvature of the turn. It is necessary for the car to maintain its circular path. The formula for centripetal force (Fc) is given by:
\[ Fc = \frac{mv^2}{r} \]
where \(m\) is the mass of the car, \(v\) is the velocity, and \(r\) is the radius of curvature.

4. **Effect of Sudden Turns**: When the car takes a sudden turn, the radius of curvature \(r\) decreases. According to the formula, if the radius decreases while the speed remains constant, the centripetal force must increase to keep the car on its path.

5. **Centrifugal Force**: The centrifugal force is not a real force but a result of inertia. As the car turns, the occupants feel as if they are being pushed outward due to this increase in the perceived centrifugal force.

6. **Direction of Falling**: As the centrifugal force increases, it acts outward from the center of curvature. If the force exceeds the frictional force between the tires and the road, the car may lose grip and slide outward.

7. **Conclusion**: Therefore, when a car takes a sudden turn, it is likely to fall or slide away from the center of curvature. Hence, the correct answer is option 1: away from the center of curvature.

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