The area under force time curve gives

Options

A. work
B. power
C. displacement
D. impluse

Answer

To solve the question, "The area under the force-time curve gives," we need to analyze the relationship between force, time, and impulse. Here’s a step-by-step solution:

### Step 1: Understand the Force-Time Graph
- In a force-time graph, the y-axis represents force (F), and the x-axis represents time (t). The area under the curve in this graph is what we need to determine.

**Hint:** Remember that the area under a graph often represents a physical quantity related to the variables plotted.

### Step 2: Identify the Area Under the Curve
- The area under the force-time curve can be calculated by multiplying the force by the time interval over which that force acts. If we denote the force as F and the time interval as Δt, then the area can be expressed as:
\[ \text{Area} = F \times \Delta t \]

**Hint:** Think about what multiplying force by time might represent in physical terms.

### Step 3: Relate Area to Impulse
- In physics, impulse (J) is defined as the change in momentum of an object when a force is applied over a period of time. Mathematically, impulse is given by the formula:
\[ J = F \times \Delta t \]
- Thus, the area under the force-time curve is equal to the impulse applied to an object.

**Hint:** Recall the definition of impulse and how it relates to force and time.

### Step 4: Conclusion
- Therefore, the area under the force-time curve gives the impulse. This means that the correct answer to the question is:
\[ \text{The area under the force-time curve gives impulse.} \]

**Hint:** Look for the option that mentions impulse as it directly corresponds to the area under the force-time graph.

### Final Answer
The area under the force-time curve gives impulse.