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Question
An object hangs from a spring balance. The balance indicates 40 N in air and 20 N when the object is submerged in water. What does the balance indicate when the object is submerged in a liquid with a density that is half that of water?
An object hangs from a spring balance. The balance indicates 40 N in air and 20 N when the object is submerged in water. What does the balance indicate when the object is submerged in a liquid with a density that is half that of water?
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Solution
The correct option is B 30 N
The approximate force applied by the mass of the object is 40N- since the mass of the air being displaced is negligible when compared to the other fluids used in this question.
In case of submerging ,the volume of water displaced accounts for 20N (40−20=20N).
If a fluid with half this density is used, only half as many Newtons will be relived from the balance
⇒20N2=10N
So in second case reading of balance =40N−10N=30N
The approximate force applied by the mass of the object is 40N- since the mass of the air being displaced is negligible when compared to the other fluids used in this question.
In case of submerging ,the volume of water displaced accounts for 20N (40−20=20N).
If a fluid with half this density is used, only half as many Newtons will be relived from the balance
⇒20N2=10N
So in second case reading of balance =40N−10N=30N
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