Find out the work done when a force of 30 N displaces a body through 8 m in the direction of the applied force.

Answer

To solve the problem of finding the work done when a force of 30 N displaces a body through 8 m in the direction of the applied force, we can follow these steps:

### Step 1: Understand the Formula for Work Done
The formula for work done (W) when a force (F) is applied to displace an object over a distance (D) is given by:
\[ W = F \times D \times \cos(\theta) \]
where \( \theta \) is the angle between the direction of the force and the direction of displacement.

### Step 2: Identify the Values Given
From the problem, we have:
- Force (F) = 30 N
- Displacement (D) = 8 m
- Since the displacement is in the direction of the applied force, the angle \( \theta = 0^\circ \).

### Step 3: Calculate Cosine of the Angle
Since \( \theta = 0^\circ \):
\[ \cos(0^\circ) = 1 \]

### Step 4: Substitute the Values into the Formula
Now, substituting the values into the work done formula:
\[ W = F \times D \times \cos(0^\circ) \]
\[ W = 30 \, \text{N} \times 8 \, \text{m} \times 1 \]

### Step 5: Perform the Calculation
Now, calculate the work done:
\[ W = 30 \times 8 = 240 \, \text{J} \]

### Final Answer
The work done is:
\[ W = 240 \, \text{Joules} \]

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