A 515 cm3(cm cubed) block of aluminum (D = 2.7 g/cm3) is lowered carefully into a completely full beaker of water. What is the weight of the water, in newtons, that spills out of the beaker?

When the aluminum block is lowered, the relative volume of water spills out of a breaker.

Weight of water is D•V•g= =1000•515•10^-6•9.8=5.047 N

Thank you so I much!! I understand it now!!

To find the weight of the water that spills out of the beaker, we need to first calculate the mass of the aluminum block.

Step 1: Calculate the mass of the aluminum block.
The volume of the aluminum block is given as 515 cm³ and the density of aluminum is 2.7 g/cm³.
So, the mass (m) of the aluminum block can be calculated using the formula:
m = density x volume
m = 2.7 g/cm³ x 515 cm³
m = 1390.5 grams

Step 2: Convert the mass from grams to kilograms.
Since weight is measured in newtons, we need to convert grams to kilograms.
1 gram = 0.001 kilograms
So, the mass (m) of the aluminum block in kilograms is:
m = 1390.5 g x 0.001 kg/g
m = 1.3905 kg

Step 3: Calculate the weight of the water that spills out.
The weight of an object can be calculated using the formula:
weight = mass x gravitational acceleration
The gravitational acceleration (g) is approximately 9.8 m/s².

weight = 1.3905 kg x 9.8 m/s²
weight = 13.6139 Newtons (rounded to 4 decimal places)

Therefore, the weight of the water that spills out of the beaker is approximately 13.6139 Newtons.

To find the weight of the water that spills out of the beaker, we need to calculate the volume of the aluminum block and the volume of the beaker. Then we can subtract the volume of the block from the volume of the beaker to find the volume of the spilled water. Finally, we can calculate the weight of the spilled water by multiplying its volume by the density of water and the acceleration due to gravity.

1. Calculate the volume of the aluminum block:
The volume of the aluminum block is given as 515 cm³.

2. Calculate the volume of the beaker:
Since the beaker is completely full, its volume can be considered the same as the volume of the spilled water.

3. Calculate the volume of the spilled water:
Volume of spilled water = Volume of beaker - Volume of aluminum block.

4. Convert the volume of spilled water to cubic meters:
Convert the volume of the spilled water from cm³ to m³ by dividing it by 1,000,000.

5. Calculate the weight of the spilled water:
Weight of spilled water = Volume of spilled water × Density of water × Acceleration due to gravity.

The density of water is approximately 1,000 kg/m³ and the acceleration due to gravity is approximately 9.8 m/s².

By following these steps, we can find the weight of the water that spills out of the beaker in newtons.