Answer
When an object moves at a constant velocity, the kinetic frictional force equals the applied force. Static friction equals the applied force when the object is at rest, and it can be greater than the applied force when the object is just about to move.
Solution
It appears you've listed several statements related to frictional forces, possibly in the context of a physics problem. I'll provide an explanation for each statement to help clarify their validity:
1. **Kinetic (Dynamic) Frictional Force was equal to the applied force.**
- **Explanation:**
When an object is moving at a constant velocity, the kinetic (dynamic) frictional force **equals** the applied force. This balance ensures that there's no acceleration, in accordance with Newton's First Law of Motion.
**_Valid._**
2. **Kinetic (Dynamic) Frictional Force was greater than the applied force.**
- **Explanation:**
If the kinetic frictional force were greater than the applied force, the object would experience a net force opposite to its direction of motion, causing it to **decelerate**. This scenario is not typical when an object is moving at a **constant velocity**. However, it could occur if an object is slowing down.
**_Conditionally Valid._**
3. **Static Frictional Force was greater than the applied force.**
- **Explanation:**
Static friction adjusts to oppose the applied force up to a **maximum limit**. If the applied force remains below this maximum, static friction **equals** the applied force to prevent motion. Only when the applied force **exceeds** this maximum does the object start to move, transitioning to kinetic friction. Therefore, while static friction can **potentially** be greater than an applied force, this typically refers to scenarios where the applied force is increasing up to the maximum static friction threshold.
**_Conditionally Valid._**
4. **Static Frictional Force was equal to the applied force.**
- **Explanation:**
This is generally **true** when an object remains at rest, and the applied force doesn't exceed the maximum static friction. Static friction precisely balances the applied force to prevent motion until that threshold is surpassed.
**_Valid._**
**Summary of Validity:**
- **Statement 1:** Valid when an object moves at constant velocity.
- **Statement 2:** Conditionally valid if the object is decelerating.
- **Statement 3:** Conditionally valid up to the maximum static friction limit.
- **Statement 4:** Valid when the object is at rest and the applied force doesn't exceed static friction's maximum.
If you have a specific scenario or question in mind, please provide more details so I can offer a more targeted explanation!
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