Figure shows a man of mass 55 kg standing stationary with respect to a horizontal conveyor belt that is accelerating with `1m s^(-2)`. The net force acting on the man is

Options

A. 35N
B. 45N
C. 55N
D. 65N

Explanation

To solve the problem, we need to find the net force acting on a man standing on an accelerating conveyor belt. Here’s a step-by-step solution:

### Step 1: Identify the given data
- Mass of the man (m) = 55 kg
- Acceleration of the conveyor belt (a) = 1 m/s²

### Step 2: Understand the situation
The man is standing stationary with respect to the conveyor belt. This means that he is not moving relative to the belt, but since the belt is accelerating, the man must also have the same acceleration to remain stationary relative to it.

### Step 3: Determine the acceleration of the man
Since the man is stationary with respect to the conveyor belt, the acceleration of the man (a_man) is equal to the acceleration of the conveyor belt:
- a_man = 1 m/s²

### Step 4: Apply Newton's second law of motion
According to Newton's second law, the net force (F_net) acting on an object is given by the formula:
\[ F_{\text{net}} = m \cdot a \]

### Step 5: Substitute the values into the equation
Now, we can substitute the mass of the man and his acceleration into the equation:
\[ F_{\text{net}} = 55 \, \text{kg} \cdot 1 \, \text{m/s}^2 \]

### Step 6: Calculate the net force
\[ F_{\text{net}} = 55 \, \text{N} \]

### Conclusion
The net force acting on the man is **55 N**.

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