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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Fluid Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Fluid Mechanics

Suspended from a spring balance is a 20 N metal block. A beaker...

Suspended from a spring balance is a 20 N20 \text{ N} metal block. A beaker containing some water is placed on a weighing machine, which initially reads 40 N40 \text{ N}. The spring balance is subsequently lowered so that the block becomes immersed in the water. The spring balance then reads 16 N16 \text{ N}. The reading on the weighing machine will be

Options

  1. A56 N56 \text{ N}
  2. B60 N60 \text{ N}
  3. C36 N36 \text{ N}
  4. D44 N44 \text{ N}

Correct answer

D. 44 N44 \text{ N}

Step-by-step solution

Initial reading of the spring balance is 20 N20 \text{ N} and the final reading is 16 N16 \text{ N}.

The loss in weight of the block is equal to the buoyant force exerted by the water.

Buoyant force FB=20 N−16 N=4 NF_B = 20 \text{ N} - 16 \text{ N} = 4 \text{ N}.

According to Newton's third law, the block exerts an equal and opposite downward force of 4 N4 \text{ N} on the water.

The total downward force on the weighing machine increases by the magnitude of this reaction force.

New reading on the weighing machine = 40 N+4 N=44 N40 \text{ N} + 4 \text{ N} = 44 \text{ N}.
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