The product of force and displacement equals

Options

A. work
B. power
C. momentum
D. none of these

Answer

To solve the question "The product of force and displacement equals," we can follow these steps:

### Step 1: Understand the terms involved
- **Force** is a vector quantity that causes an object to accelerate.
- **Displacement** is the vector quantity that represents the change in position of an object.

### Step 2: Recall the formula for work
The work done (W) by a force (F) when it moves an object through a displacement (d) is given by the formula:
\[ W = F \times d \]
This means that work is the product of the force applied and the displacement caused by that force.

### Step 3: Analyze the options
1. **Work**: As per the formula, work is indeed the product of force and displacement.
2. **Power**: Power is defined as the rate at which work is done, given by the formula:
\[ P = \frac{W}{t} \]
where \( t \) is time. It is not the product of force and displacement.
3. **Momentum**: Momentum is defined as the product of mass and velocity:
\[ p = m \times v \]
This is unrelated to the product of force and displacement.
4. **None of these**: This option does not apply as we have already established that the product of force and displacement equals work.

### Step 4: Conclusion
Based on the analysis, we conclude that the product of force and displacement equals **work**. Therefore, the correct answer is option 1.

### Final Answer:
The product of force and displacement equals **work**.

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