A body of mass 2 kg and volume ` 0.001 m^(3)` is in a fluid of density `4//3 gm//cm^(3)` . The fluid is at rest . Determine whether the body will float or sink in the fluid ? If it sinks , then find out the acceleration .

Explanation

To determine whether the body will float or sink in the fluid, we need to compare the density of the body with the density of the fluid. We will also calculate the buoyant force acting on the body and its weight to find out the acceleration if it sinks.

### Step-by-Step Solution:

1. **Given Data:**
- Mass of the body (m) = 2 kg
- Volume of the body (V) = 0.001 m³
- Density of the fluid (ρ_fluid) = \( \frac{4}{3} \) gm/cm³ = \( \frac{4}{3} \times 10^3 \) kg/m³ (since 1 gm/cm³ = 1000 kg/m³)
...