A body is floating in upright position in water. Then force of gravity and buoyant force acting on the body are:

Options

A. in the same direction long the same line
B. in opposite direction but along the same line
C. at right angle to each other
D. in opposite to direction and from couple which turns and only anti clockwise.

Explanation

To solve the problem of the forces acting on a body floating in water, we need to analyze the forces involved: the force of gravity and the buoyant force.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Body**:
- When a body is floating in water, two main forces act on it: the gravitational force (weight) acting downwards and the buoyant force acting upwards.

2. **Direction of the Gravitational Force**:
- The gravitational force always acts downwards towards the center of the Earth. This force can be calculated using the formula:
\[ F_g = m \cdot g \]
where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).

3. **Direction of the Buoyant Force**:
- The buoyant force, according to Archimedes' principle, acts upwards and is equal to the weight of the fluid displaced by the submerged part of the body. This force can be represented as:
\[ F_b = \rho \cdot V \cdot g \]
where \( \rho \) is the density of the fluid (water in this case), \( V \) is the volume of the fluid displaced, and \( g \) is the acceleration due to gravity.

4. **Equilibrium Condition**:
- For a body to float, the buoyant force must equal the gravitational force acting on it. Therefore, we have:
\[ F_b = F_g \]
- This indicates that the two forces are equal in magnitude but opposite in direction.

5. **Conclusion**:
- The gravitational force acts downwards, while the buoyant force acts upwards. They are equal in magnitude and opposite in direction, resulting in a net force of zero, which allows the body to float in equilibrium.

### Final Answer:
The gravitational force and buoyant force acting on the body are equal in magnitude and opposite in direction.

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