If the amount of work done by a force depends only on the initial and final positions of the object which has been moved, then such a force is called

Options

A. Gravitational
B. Dissipative
C. Conservative
D. Retarding

Answer

To solve the question, "If the amount of work done by a force depends only on the initial and final positions of the object which has been moved, then such a force is called," we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Work Done**:
Work done by a force is defined as the product of the force and the displacement in the direction of the force. Mathematically, it is expressed as:
\[ W = F \cdot S \]
where \( W \) is the work done, \( F \) is the force, and \( S \) is the displacement.

**Hint**: Recall the formula for work done and the significance of displacement.

2. **Identify the Dependency of Work Done**:
The problem states that the work done depends only on the initial and final positions of the object. This means that regardless of the path taken by the object, the work done remains the same as long as the starting and ending points are the same.

**Hint**: Think about whether the path taken affects the total work done.

3. **Differentiate Between Conservative and Non-Conservative Forces**:
- **Conservative Forces**: These are forces for which the work done is path-independent and depends only on the initial and final positions. Examples include gravitational force and spring force.
- **Non-Conservative Forces**: These forces do depend on the path taken. Examples include friction and air resistance, where energy is dissipated.

**Hint**: Consider examples of forces and how they relate to the work done.

4. **Conclude the Type of Force**:
Since the question specifies that the work done depends only on the initial and final positions, we can conclude that the force in question is a **conservative force**.

**Hint**: Remember the definition of conservative forces and their characteristics.

### Final Answer:
The force is called a **conservative force**.