You lift a suitcase from the floor and keep it on a table. The work done by you on the suitcae does not depend on

Options

A. the path taken by the suitcae
B. the time taken by you in doing so
C. the weight of the suitcase
D. your weight

Answer

To solve the question, we need to analyze the work done by lifting a suitcase from the floor to a table.

### Step-by-Step Solution:

1. **Understanding Work Done**:
Work done (W) on an object is defined as the force (F) applied on the object multiplied by the displacement (d) in the direction of the force. Mathematically, W = F × d × cos(θ), where θ is the angle between the force and the displacement.

2. **Identifying the Forces**:
When lifting the suitcase, the force exerted by you is equal to the weight of the suitcase (mg), where m is the mass of the suitcase and g is the acceleration due to gravity.

3. **Calculating Work Done**:
When you lift the suitcase vertically to a height (h), the work done by you can be expressed as:
\[ W = F \times d = mg \times h \]
Here, the displacement (d) is equal to the height (h) to which the suitcase is lifted.

4. **Potential Energy**:
The work done on the suitcase is converted into gravitational potential energy (PE) given by:
\[ PE = mgh \]
This means that the work done by you results in an increase in the potential energy of the suitcase.

5. **Factors Affecting Work Done**:
The work done by you depends on:
- The weight of the suitcase (mg)
- The height (h) to which it is lifted

It does NOT depend on:
- The path taken to lift the suitcase (whether you lift it straight up or at an angle)
- The time taken to lift it (whether you lift it quickly or slowly)
- Your weight or any other external factors not related to the mass of the suitcase and the height.

### Conclusion:
Thus, the work done by you on the suitcase does not depend on the path taken or the time taken to lift the suitcase.