A vessel with a body floating in it is kept in an lift accelerating downward with acceleration a such that `a lt g` . Will the body rise or sink further in the vessel ?

Explanation

To solve the problem of whether a body floating in a vessel will rise or sink when the vessel is in a downward-accelerating lift, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Forces Acting on the Body**:
- The body floating in the liquid experiences two main forces:
- The **weight (W)** of the body acting downward, which is given by \( W = mg \) where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity.
- The **buoyant force (F_B)** acting upward, which is equal to the weight of the liquid displaced by the body, given by \( F_B = \rho V g \), where \( \rho \) is the density of the liquid and \( V \) is the volume of the liquid displaced.
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