A body is moving with an acceleration 'a' under the action of a force 'g'. The weight of the body is

Options

A. g/a
B. `-g^(2)//a`
C. `g^(2)//a`
D. `a^(2)//g`

Answer

To solve the problem, we need to find the weight of a body that is moving with an acceleration 'a' under the action of a force 'g'.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We have a body that is accelerating with an acceleration 'a'.
- The force acting on the body is given as 'g'.
- We need to find the weight of the body.

2. **Using Newton's Second Law**:
- According to Newton's second law of motion, the relationship between force (F), mass (m), and acceleration (a) is given by:
\[ F = m \cdot a \]
- Rearranging this equation to find the mass (m):
\[ m = \frac{F}{a} \]

3. **Substituting the Given Force**:
- Here, the force acting on the body is 'g'. Therefore, we can substitute 'g' into the equation:
\[ m = \frac{g}{a} \]

4. **Calculating the Weight of the Body**:
- The weight (W) of the body is defined as the product of its mass (m) and the acceleration due to gravity (g):
\[ W = m \cdot g \]
- Substituting the expression we found for mass:
\[ W = \left(\frac{g}{a}\right) \cdot g \]
- Simplifying this gives:
\[ W = \frac{g^2}{a} \]

5. **Final Answer**:
- Therefore, the weight of the body is:
\[ W = \frac{g^2}{a} \]