The force acting on a mass of 1 g due to the gravitational pull on the earth is called 1 gwt. One gwt equals

Options

A. 1N
B. 9.8N
C. 980 dyne
D. None of these

Answer

To find out how much 1 gwt (the force acting on a mass of 1 gram due to the gravitational pull on the Earth) equals in Newtons, we can follow these steps:

### Step 1: Understand the definition of gwt
1 gwt is defined as the weight of a mass of 1 gram under the influence of Earth's gravitational acceleration.

### Step 2: Convert grams to kilograms
Since the standard unit of mass in the International System of Units (SI) is kilograms, we need to convert grams to kilograms:
- 1 gram = 1/1000 kg = 0.001 kg

### Step 3: Use the formula for weight
The weight (W) of an object can be calculated using the formula:
\[ W = m \cdot g \]
where:
- \( m \) is the mass in kilograms,
- \( g \) is the acceleration due to gravity, which is approximately \( 9.8 \, \text{m/s}^2 \).

### Step 4: Substitute the values
Now, substituting the values into the formula:
\[ W = 0.001 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \]

### Step 5: Calculate the weight
Now we perform the multiplication:
\[ W = 0.001 \cdot 9.8 = 0.0098 \, \text{N} \]

### Step 6: Convert Newtons to dynes
To convert Newtons to dynes, we use the conversion factor:
1 Newton = \( 10^5 \) dynes.
So,
\[ 0.0098 \, \text{N} = 0.0098 \times 10^5 \, \text{dynes} = 980 \, \text{dynes} \]

### Conclusion
Thus, 1 gwt equals 980 dynes.

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