A man moves on a straight horizontal road with a block of mass 2 kg in his hand. If he covers a distance of 340 m with an acceleration of `0.5 m/s^2` find the work done by the man on the block during the motion.

Explanation

To solve the problem, we need to calculate the work done by the man on the block while he moves a distance of 340 meters with an acceleration of 0.5 m/s². Here's a step-by-step solution:

### Step 1: Identify the given values
- Mass of the block (m) = 2 kg
- Distance covered (s) = 340 m
- Acceleration (a) = 0.5 m/s²

### Step 2: Calculate the force exerted by the man on the block
Using Newton's second law of motion, we can calculate the force (F) exerted on the block:
\[ F = m \cdot a \]
Substituting the known values:
\[ F = 2 \, \text{kg} \cdot 0.5 \, \text{m/s}^2 = 1 \, \text{N} \]

### Step 3: Calculate the work done by the man on the block
The work done (W) is given by the formula:
\[ W = F \cdot s \]
Substituting the values of force and distance:
\[ W = 1 \, \text{N} \cdot 340 \, \text{m} = 340 \, \text{J} \]

### Final Answer:
The work done by the man on the block during the motion is **340 Joules**.

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