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Physics students use a spring scale to measure the weight of a piece of lead. The experiment was performed two times, one in air and the other in water. If the volume of lead is 50 cm3, what is the difference between two readings on the scale? Density of water is equal to 1000 kg/m³Group of answer choices500 N0.5 N5 N50 N

Question

Physics students use a spring scale to measure the weight of a piece of lead. The experiment was performed two times, one in air and the other in water. If the volume of lead is 50 cm3, what is the difference between two readings on the scale? Density of water is equal to 1000 kg/m³Group of answer choices500 N0.5 N5 N50 N

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Solution

The difference between the two readings on the scale is due to the buoyant force that the water exerts on the lead. This force is equal to the weight of the water displaced by the lead.

The volume of the lead is given as 50 cm³. To convert this to m³ (since the density of water is given in kg/m³), we use the conversion factor 1 m³ = 1,000,000 cm³. So, the volume of the lead in m³ is 50/1,000,000 = 0.00005 m³.

The density of water is given as 1000 kg/m³. The mass of the water displaced by the lead is therefore density * volume = 1000 kg/m³ * 0.00005 m³ = 0.05 kg.

The weight of this water (which is the buoyant force) is mass * gravity. Taking gravity as approximately 9.8 m/s², this gives a weight of 0.05 kg * 9.8 m/s² = 0.49 N.

So, the difference between the two readings on the scale (the weight of the lead in air minus the weight of the lead in water) is 0.49 N. This is closest to 0.5 N from the given options, so that is the correct answer.

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