A solid object is made of two materials,one material having density of 2 000 kg/m³ and the other having density of 5 500 kg/m³.If the object contains equal masses of the materials,what is its average density? A) 2 933 kg/m³ B) 3 750 kg/m³ C) 3 933 kg/m³ D) 7 500 kg/m³ E) more information is needed

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Quizplus · Accepted Answer

The average density is the total mass divided by the total volume. Since the object contains equal masses of the two materials, the total mass is the sum of the masses of the two materials. The total volume is the sum of the volumes of the two materials. The density of the first material is 2000 kg/m3, and the density of the second material is 5500 kg/m3. The mass of the first material is equal to its density times its volume, and the mass of the second material is equal to its density times its volume. The total mass is therefore equal to the sum of the two masses, which is 2000 kg/m3 * V1 + 5500 kg/m3 * V2. The total volume is equal to the sum of the two volumes, which is V1 + V2. The average density is therefore equal to the total mass divided by the total volume, which is (2000 kg/m3 * V1 + 5500 kg/m3 * V2) / (V1 + V2). Since V1 = V2, the average density is equal to (2000 kg/m3 + 5500 kg/m3) / 2 = 3750 kg/m3.

A Solid Object Is Made of Two Materials,one Material Having