1 kg wt is equal to

Options

A. 980 dyne
B. `9.80` dyne
C. 98 dyne
D. none of these

Explanation

To find out how much 1 kg weight is equal to in dyne, we can follow these steps:

### Step 1: Understand the relationship between mass and weight
Weight (W) is defined as the force exerted by gravity on an object. It can be calculated using the formula:
\[ W = m \times g \]
where:
- \( W \) is the weight in Newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( g \) is the acceleration due to gravity, approximately \( 9.8 \, \text{m/s}^2 \).

### Step 2: Calculate the weight of 1 kg in Newtons
Given that the mass \( m = 1 \, \text{kg} \):
\[ W = 1 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 9.8 \, \text{N} \]

### Step 3: Convert Newtons to Dynes
To convert the weight from Newtons to Dynes, we use the conversion factor:
\[ 1 \, \text{N} = 10^5 \, \text{dynes} \]
Thus, to convert \( 9.8 \, \text{N} \) to dynes:
\[ W = 9.8 \, \text{N} \times 10^5 \, \text{dynes/N} = 9.8 \times 10^5 \, \text{dynes} \]

### Step 4: Express the weight in a more manageable form
We can express \( 9.8 \times 10^5 \) dynes as:
\[ W = 980000 \, \text{dynes} \]

### Conclusion
Therefore, the weight of 1 kg is equal to \( 980000 \, \text{dynes} \).