1. The density of a substance is calculated by dividing its mass by its volume. In this case, the mass of the metal cube is 5 kg and the volume is the cube of the side length, which is 0.5m. So, the volume is 0.5m * 0.5m * 0.5m = 0.125 m³. Therefore, the density is 5 kg / 0.125 m³ = 40 kg/m³.

2. The volume of a substance is calculated by dividing its mass by its density. In this case, the mass of the cube box is 8 kg and the density is 325 kg/m³. So, the volume is 8 kg / 325 kg/m³ = 0.0246153846 m³. The cube root of this volume gives the length of each side of the box, which is approximately 0.29 m.

3. To determine the density of the rock, you would first measure its mass using a balance. Then, you would measure its volume by submerging it in a graduated cylinder filled with a known volume of water and recording the change in water level. The density is then calculated by dividing the mass by the volume.

4. The change in pressure when an object is submerged in a fluid is given by the equation ΔP = ρgh, where ρ is the density of the fluid, g is the gravitational field strength, and h is the depth. In this case, ρ = 1000 kg/m³, g = 9.8 N/kg, and h = 200 m - 45 m = 155 m. So, ΔP = 1000 kg/m³ * 9.8 N/kg * 155 m = 1517000 Pa.

5. Whether a potato sinks or floats in water depends on its density compared to the density of water. If the potato's density is less than the density of water, it will float. If it's greater, it will sink. Most potatoes have a density less than water, so they will float.

6. The pressure on a surface is calculated by dividing the force applied to it by the area of the surface. In this case, the force is 0.4 N and the area is 0.02 m². So, the pressure is 0.4 N / 0.02 m² = 20 Pa.

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1. The density of a substance is calculated by dividing its mass by its volume. In this case, the mass of the metal cube is 5 kg and the volume is the cube of the side length, which is 0.5m. So, the volume is 0.5m * 0.5m * 0.5m = 0.125 m³. Therefore, the density is 5 kg / 0.125 m³ = 40 kg/m³.

2. The volume of a substance is calculated by dividing its mass by its density. In this case, the mass of the cube box is 8 kg and the density is 325 kg/m³. So, the volume is 8 kg / 325 kg/m³ = 0.0246153846 m³. The cube root of this volume gives the length of each side of the box, which is approximately 0.29 m.

3. To determine the density of the rock, you would first measure its mass using a balance. Then, you would measure its volume by submerging it in a graduated cylinder filled with a known volume of water and recording the change in water level. The density is then calculated by dividing the mass by the volume.

4. The change in pressure when an object is submerged in a fluid is given by the equation ΔP = ρgh, where ρ is the density of the fluid, g is the gravitational field strength, and h is the depth. In this case, ρ = 1000 kg/m³, g = 9.8 N/kg, and h = 200 m - 45 m = 155 m. So, ΔP = 1000 kg/m³ * 9.8 N/kg * 155 m = 1517000 Pa.

5. Whether a potato sinks or floats in water depends on its density compared to the density of water. If the potato's density is less than the density of water, it will float. If it's greater, it will sink. Most potatoes have a density less than water, so they will float.

6. The pressure on a surface is calculated by dividing the force applied to it by the area of the surface. In this case, the force is 0.4 N and the area is 0.02 m². So, the pressure is 0.4 N / 0.02 m² = 20 Pa.

Knowee AI · Accepted Answer

1. The density of a substance is calculated by dividing its mass by its volume. In this case, the mass of the metal cube is 5 kg and the volume is the cube of the side length, which is 0.5m. So, the volume is 0.5m * 0.5m * 0.5m = 0.125 m³. Therefore, the density is 5 kg / 0.125 m³ = 40 kg/m³.

2. The volume of a substance is calculated by dividing its mass by its density. In this case, the mass of the cube box is 8 kg and the density is 325 kg/m³. So, the volume is 8 kg / 325 kg/m³ = 0.0246153846 m³. The cube root of this volume gives the length of each side of the box, which is approximately 0.29 m.

3. To determine the density of the rock, you would first measure its mass using a balance. Then, you would measure its volume by submerging it in a graduated cylinder filled with a known volume of water and recording the change in water level. The density is then calculated by dividing the mass by the volume.

4. The change in pressure when an object is submerged in a fluid is given by the equation ΔP = ρgh, where ρ is the density of the fluid, g is the gravitational field strength, and h is the depth. In this case, ρ = 1000 kg/m³, g = 9.8 N/kg, and h = 200 m - 45 m = 155 m. So, ΔP = 1000 kg/m³ * 9.8 N/kg * 155 m = 1517000 Pa.

5. Whether a potato sinks or floats in water depends on its density compared to the density of water. If the potato's density is less than the density of water, it will float. If it's greater, it will sink. Most potatoes have a density less than water, so they will float.

6. The pressure on a surface is calculated by dividing the force applied to it by the area of the surface. In this case, the force is 0.4 N and the area is 0.02 m². So, the pressure is 0.4 N / 0.02 m² = 20 Pa.

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