The Question is from NEET guide , and it was created by the author SUBHANI

Question

A book is held at a constant height above the ground.  How much work is done by the person holding the book?

SUBHANI · Accepted Answer

## CORE INFORMATION
✓ **Answer**: Option A
## CONCEPT FRAMEWORK
**Primary Concept**: Work and Energy
**Related Topics**: Force, Displacement
**Prerequisites**: Definition of work in physics
## SOLUTION PATHWAY
**Given Information**:
  * The book is held at a constant height.
  * The book is not moving (no displacement).

**Method & Steps**:
1. **Identify the relevant formula:**
   Reasoning: Work is defined as the force applied on an object multiplied by the displacement of the object in the direction of the force.
   Formula/Rule:  $W = F \cdot d \cdot cos(θ)$, where W is work, F is the force, d is the displacement, and θ is the angle between the force and displacement.
2. **Analyze the displacement:**
   Working: Since the book is held at a constant height, there is no displacement (d = 0).
   Key Point:  Even though the person is applying an upward force to hold the book, the work done is related to the displacement of the book.
3.  **Calculate the work:**
    Result: Substituting d=0 into the work formula, we get $W = F \cdot 0 \cdot cos(θ) = 0 J$
    Verification: The work done is zero because there is no movement of the book.
## OPTION ANALYSIS
[A] ✓: Correct. Since there is no displacement, the work done is zero, regardless of the force exerted.
[B] :x: Incorrect. 9.8 J would be related to potential energy change if the book moved a meter vertically. Work is zero in this case.
[C] :x: Incorrect. The work done is not dependent on the mass of the book in this scenario, it depends on the displacement.
[D] :x: Incorrect. The height of the book does not affect work done in the absence of displacement. Work is zero.
## LEARNING AIDS
**Common Mistakes**:
1. **Confusing force with work:** Mistaking the force applied to hold the book with the work done. Work requires displacement.
   How to avoid: Remember work is force *displacement, not just force.
2. **Ignoring the displacement:** Forgetting that the object must move for work to be done. 
   How to avoid: Always consider displacement when analyzing work.
**Quick Tips**:
1. **Work requires movement:** If an object doesn't move, no work is done, even if force is applied.
2. **Constant height means zero work:** Holding something at a constant height means zero displacement and zero work.

SUBHANI · Answer

The correct Option is "0 J"

SUBHANI · Answer

9.8 J

SUBHANI · Answer

Depends on the mass of the book

SUBHANI · Answer

Depends on the height above the ground

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