When a rolling body enters onto a smooth horizontal surface, it will

Options

A. Continue rolling
B. Starts slipping
C. Come to rest
D. Slipping as well as rolling

Answer

To solve the problem of what happens when a rolling body enters onto a smooth horizontal surface, we can break it down into a series of steps:

### Step-by-Step Solution:

1. **Understanding the Initial Condition**:
- A rolling body (like a sphere or cylinder) is moving with a certain linear velocity \( V \) and is rotating about its center with an angular velocity \( \omega \).

2. **Condition for Pure Rolling**:
- For a body to be in pure rolling motion, the relationship between linear velocity \( V \) and angular velocity \( \omega \) is given by:
\[ V = r \omega \]
where \( r \) is the radius of the rolling body.

3. **Entering a Smooth Horizontal Surface**:
- When the rolling body enters a smooth horizontal surface, it is important to note that this surface is smooth, meaning there is no friction acting on the body.

4. **Effect of No Friction**:
- Since there is no friction, there are no retarding forces acting on the body. The only forces acting on the body are its weight \( mg \) (downward) and the normal force (upward), which do not affect the horizontal motion.

5. **Conservation of Linear and Angular Velocity**:
- Because there are no external torques acting on the body (due to the absence of friction), both the linear velocity \( V \) and the angular velocity \( \omega \) will remain constant.

6. **Conclusion**:
- Therefore, the rolling body will continue to roll on the smooth horizontal surface without any change in its motion. The correct answer to the question is that the rolling body will continue rolling.

### Final Answer:
The rolling body will continue rolling on the smooth horizontal surface.

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