STATEMENT-1 Work done by gravity in raising a box onto a platform does not depend on how fast it is raised
STATEMENT-2 Work done depends only on force and displacement

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the question, we will analyze both statements separately and determine their validity based on the principles of physics.

### Step 1: Analyze Statement 1
**Statement 1:** Work done by gravity in raising a box onto a platform does not depend on how fast it is raised.

- **Explanation:** The work done by a conservative force, such as gravity, depends only on the initial and final positions of the object, not on the path taken or the speed at which the object is moved.
- When raising a box to a height \( h \), the work done by gravity can be calculated using the formula:
\[ W = mgh \]
where \( m \) is the mass of the box, \( g \) is the acceleration due to gravity, and \( h \) is the height.
- Regardless of whether the box is raised quickly or slowly, the work done against gravity remains the same as long as the height \( h \) is the same.

**Conclusion:** Statement 1 is **True**.

### Step 2: Analyze Statement 2
**Statement 2:** Work done depends only on force and displacement.

- **Explanation:** The work done by a force is given by the formula:
\[ W = Fd \cos \theta \]
where \( F \) is the magnitude of the force, \( d \) is the magnitude of the displacement, and \( \theta \) is the angle between the force and the direction of displacement.
- This means that work done is not only dependent on the magnitude of the force and displacement but also on the angle \( \theta \). If the angle changes, the work done will also change, even if the force and displacement remain constant.

**Conclusion:** Statement 2 is **False**.

### Final Conclusion
- **Statement 1 is True.**
- **Statement 2 is False.**

### Answer Options:
Based on the analysis, the correct option is that Statement 1 is true and Statement 2 is false.

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