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For a body floating on water, apparent w...

For a body floating on water, apparent weight is equal to :

A

actual weight of the body

B

zero

C

weight of the body minus the weight of the liquid

D

none of the above

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The correct Answer is:
To determine the apparent weight of a body floating on water, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Weight and Buoyant Force**: - When a body is floating on water, it experiences two main forces: its weight (W) acting downwards and the buoyant force (F_b) acting upwards. - The weight of the body can be expressed as \( W = mg \), where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity. 2. **Condition for Floating**: - For an object to float, the buoyant force must equal the weight of the object. This can be expressed mathematically as: \[ F_b = W \] - Since the object is in equilibrium (not sinking or rising), the net force acting on it is zero. 3. **Calculating Apparent Weight**: - The apparent weight (W_a) of the body when it is floating can be defined as the actual weight minus the buoyant force: \[ W_a = W - F_b \] - Substituting the condition for floating into this equation: \[ W_a = W - W = 0 \] 4. **Conclusion**: - Therefore, the apparent weight of a body floating on water is equal to zero. ### Final Answer: The apparent weight of a body floating on water is **zero**. ---
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