If the value of force is 100 N and vlaue of acceleration is 0.001 `ms^(-2)` what is the value of mass in this system of units?

Options

A. `10^(3)kg`
B. `10^(4)kg`
C. `10^(5)kg`
D. `10^(6)kg`

Explanation

To find the mass given the force and acceleration, we can use Newton's second law of motion, which states that:

\[ F = m \cdot a \]

where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.

### Step-by-Step Solution:

1. **Identify the given values**:
- Force \( F = 100 \, \text{N} \)
- Acceleration \( a = 0.001 \, \text{m/s}^2 \)

2. **Rearrange the formula to solve for mass**:
\[ m = \frac{F}{a} \]

3. **Substitute the known values into the equation**:
\[ m = \frac{100 \, \text{N}}{0.001 \, \text{m/s}^2} \]

4. **Perform the division**:
- First, convert \( 0.001 \) to a fraction:
\[ 0.001 = \frac{1}{1000} \]
- Thus, the equation becomes:
\[ m = 100 \, \text{N} \times 1000 \, \text{s}^2/\text{m} \]
- Therefore:
\[ m = 100000 \, \text{kg} \]
- This can also be expressed as:
\[ m = 10^5 \, \text{kg} \]

5. **Conclusion**:
The mass \( m \) in this system of units is \( 10^5 \, \text{kg} \).

### Final Answer:
The value of mass is \( 10^5 \, \text{kg} \).

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