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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Newton's Laws of Motion

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Newton's Laws of Motion

As depicted in the figure, a block of mass 10 kg is suspended via...

As depicted in the figure, a block of mass 10 kg10\text{ kg} is suspended via two light spring balances.
As depicted in the figure, a block of mass 10 kg is suspended via two light spring balances.

Options

  1. AThe individual readings may vary, but their sum will always be 10 kg10\text{ kg}.
  2. BBoth scales will display a reading of 5 kg5\text{ kg}.
  3. CThe upper scale will read 10 kg10\text{ kg} and the lower scale will read zero.
  4. DBoth scales will display a reading of 10 kg10\text{ kg}.

Correct answer

D. Both scales will display a reading of 10 kg10\text{ kg}.

Step-by-step solution

Since the spring balances are light, their masses are considered negligible.

A spring balance measures the tension force acting on it.

For the lower spring balance, the tension T2T_2 is equal to the weight of the 10 kg10\text{ kg} block. Thus, T2=10gT_2 = 10g, and its reading is 10 kg10\text{ kg}.

For the upper spring balance, the tension T1T_1 must balance the total downward force, which is the tension from the lower spring balance plus the weight of the lower spring balance.

Since the lower spring balance is massless, T1=T2=10gT_1 = T_2 = 10g.

Therefore, the upper spring balance also reads 10 kg10\text{ kg}.

Both scales will display a reading of 10 kg10\text{ kg}.
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