PASSAGE-I: Ramu applied a force of 10 N on a body to move it from rest. He wants to express the applied force in terms of various system of units.
Express 10 N force in terms of kgf

Options

A. 9.8 kgf
B. 56 kgf
C. 100 kgf
D. 84 kgf

Explanation

To express the force of 10 Newtons (N) in terms of kilogram-force (kgf), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Newtons and kgf**:
- 1 kgf is defined as the force exerted by gravity on a mass of 1 kilogram.
- The acceleration due to gravity (g) is approximately 9.8 m/s² (we can round it to 10 m/s² for simplicity in calculations).

2. **Use the formula for force**:
- According to Newton's second law of motion, the force (F) can be calculated using the formula:
\[ F = m \times a \]
- Here, \( m \) is the mass in kilograms and \( a \) is the acceleration in meters per second squared.

3. **Calculate 1 kgf in Newtons**:
- If we take \( m = 1 \) kg and \( a = g = 10 \) m/s², then:
\[ F = 1 \, \text{kg} \times 10 \, \text{m/s}^2 = 10 \, \text{N} \]
- Therefore, 1 kgf is equivalent to 10 N.

4. **Convert 10 N to kgf**:
- Since we know that 1 kgf = 10 N, we can express 10 N in terms of kgf:
\[ 10 \, \text{N} = \frac{10 \, \text{N}}{10 \, \text{N/kgf}} = 1 \, \text{kgf} \]

### Final Answer:
Thus, 10 N is equal to **1 kgf**.

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