Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.35 L, 2.6 g/cm3; 0.25 L, 1.0 g/cm3; and 0.40 L, 0.60 g/cm3. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm3. (Ignore the contribution due to the atmosphere.)
The force at the bottom is the combined weight of all three liquids. If you want it in Newtons, multiply the total mass (in kg) by g = 9.8 m/s^2
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To find the force on the bottom of the container due to the liquids, we need to calculate the weight of each liquid and then sum them up.
The weight of an object can be calculated using the formula:
Weight = Volume * Density * Acceleration due to Gravity
First, let's convert the volumes to cm3:
0.35 L = 0.35 * 1000 cm3 = 350 cm3
0.25 L = 0.25 * 1000 cm3 = 250 cm3
0.40 L = 0.40 * 1000 cm3 = 400 cm3
Now we can calculate the weight of each liquid:
Weight_1 = 350 cm3 * 2.6 g/cm3 * 9.8 m/s2
Weight_2 = 250 cm3 * 1.0 g/cm3 * 9.8 m/s2
Weight_3 = 400 cm3 * 0.60 g/cm3 * 9.8 m/s2
Note: We multiply by 9.8 m/s2 to convert the weight from grams to Newtons (N).
To find the total force on the bottom of the container, we need to sum up the weights:
Total Force = Weight_1 + Weight_2 + Weight_3
Now let's calculate the weights and sum them up:
Weight_1 = 350 cm3 * 2.6 g/cm3 * 9.8 m/s2 = 8894 N
Weight_2 = 250 cm3 * 1.0 g/cm3 * 9.8 m/s2 = 2450 N
Weight_3 = 400 cm3 * 0.60 g/cm3 * 9.8 m/s2 = 2352 N
Total Force = 8894 N + 2450 N + 2352 N
Therefore, the force on the bottom of the container due to these liquids is 13,696 Newtons (N).
To find the force on the bottom of the container due to the liquids, we need to calculate the weight of each liquid and add them together.
First, let's convert the volumes from liters to cubic centimeters (cm3) since the densities are given in grams per cubic centimeter.
0.35 L = 0.35 * 1000 cm3 = 350 cm3
0.25 L = 0.25 * 1000 cm3 = 250 cm3
0.40 L = 0.40 * 1000 cm3 = 400 cm3
Now, let's calculate the weight of each liquid by multiplying the volume with the density.
Weight = Volume * Density
Weight of the first liquid = 350 cm3 * 2.6 g/cm3 = 910 g
Weight of the second liquid = 250 cm3 * 1.0 g/cm3 = 250 g
Weight of the third liquid = 400 cm3 * 0.60 g/cm3 = 240 g
Finally, we can find the total force on the bottom of the container by adding up the weights of the three liquids.
Total force = Weight of the first liquid + Weight of the second liquid + Weight of the third liquid
Total force = 910 g + 250 g + 240 g
Total force = 1400 g
Remember, the weight of an object is equal to mass times gravity. 1 g is approximately equal to 9.8 N (newtons). So, we need to convert the weight from grams to newtons by dividing by 1000.
Total force = 1400 g / 1000 = 1.4 kg (since 1 kg = 1000 g)
Total force = 1.4 kg * 9.8 N/kg = 13.72 N
Therefore, the force on the bottom of the container due to these liquids is approximately 13.72 N.