Forces on a body resting on a liquid – weight vs upthrust When a body is placed over (or on) a liquid, it is subjected to two principal vertical forces: gravitational force (its weight) and the upward hydrostatic thrust (buoyant force). Is this statement true?
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ATrue
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BFalse
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CTrue only if the body is fully submerged
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DTrue only for gases, not liquids
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EFalse unless the liquid is at rest
Answer
Correct Answer: True
Explanation
Introduction:Understanding the vertical force balance on a body interacting with a fluid underpins floatation, apparent weight, and stability problems. The question asks whether both weight and buoyant force act when a body is placed on or in contact with a liquid at rest.
Given Data / Assumptions:
- Quasi-static conditions; fluid at rest (hydrostatics).
- Body may float partially submerged or rest on a support while touching the liquid.
- No dynamic lift or drag considered.
Concept / Approach:
The body’s weight W acts downward. The fluid exerts an upward pressure distribution over the wetted surface; the resultant is the buoyant (upthrust) force. If the body floats freely, equilibrium requires W = buoyant force. If it is supported (e.g., on a scale), the scale reading equals W − buoyant force, evidencing that both forces are present even without full submergence.
Step-by-Step Solution:
Identify forces: W downward; pressure-resultant upward (buoyancy) over immersed area.If floating: W = rho * g * V_displaced.If merely touching with partial wetting: The same hydrostatic mechanism creates an upward resultant on the wetted portion.Verification / Alternative check:
Apparent weight experiments show a reading drop when an object is immersed partially—direct proof of a buoyant force acting concurrently with weight.
Why Other Options Are Wrong:
False or conditional statements are inconsistent with hydrostatics; buoyancy does not require full submergence, special fluids, or motion.
Common Pitfalls:
Equating “over” with “above but not touching.” The context here is contact with the liquid; once a wetted area exists, hydrostatic pressure generates an upthrust.
Final Answer:
True