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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

Text Solution

AI Generated Solution

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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Knowledge Check

  • The apparent weight of a body

    A
    may be positive
    B
    may be negative
    C
    may be zero
    D
    is always positive
  • For a steel boat floating on a lake, the weight of the water displaced by the boat is

    A
    less than the weight of the boat
    B
    more than the weight of the boat
    C
    equal to the weight of the part of the boat which is below the water level of the lake
    D
    equal to the weight of the boat
  • The apparent weight of wood floating on water if it weights 100 g in air is

    A
    `400` g
    B
    `300` g
    C
    `100` g
    D
    zero
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