A man is standing on a balance and his weight is measured. If he takes a step in the left side, then weight

Options

A. Will decrease
B. Will increase
C. Remains same
D. First decreases then increases

Answer

To solve the problem of what happens to a man's weight when he steps to the left on a balance, we can analyze the situation step by step.

### Step 1: Understanding Weight
Weight is defined as the force exerted by gravity on an object. It is calculated using the formula:
\[ \text{Weight} (W) = m \cdot g \]
where \( m \) is the mass of the object (in this case, the man) and \( g \) is the acceleration due to gravity.

### Step 2: Initial Weight Measurement
When the man is standing in the center of the balance, his weight is measured as:
\[ W = m \cdot g \]
This is the initial weight when he is balanced and standing still.

### Step 3: Moving to the Left
When the man takes a step to the left, he is still the same person with the same mass \( m \). The gravitational force acting on him does not change because it depends only on his mass and the gravitational acceleration, which is constant.

### Step 4: Weight on the Balance
Even after moving to the left, the gravitational force acting on him remains:
\[ W = m \cdot g \]
Thus, the balance will still measure the same weight \( W \) because the weight does not depend on his position on the balance.

### Step 5: Conclusion
Therefore, regardless of whether the man is standing in the center or has stepped to the left, his weight remains unchanged. The balance will still read:
\[ W = m \cdot g \]

### Final Answer
The weight of the man remains the same even after he steps to the left.

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