A 20 N object displaces 2,000 mL of water. What is the buoyancy? Hint: 1 mL of water = 1 cm3 of water = 1 g of water (Remember to convert g to kg)
Will it float? (yes/no)
2000 mL = 2000 cm^3.
Mass = 2000cm^3 * 0.001kg/cm^3 = 2kg.
Buoyancy = mg = 2 * 9.8 = 19.6 N.
To calculate the buoyancy, we need to find the weight of the water displaced by the object.
Step 1: Convert the volume of water displaced from milliliters to cubic centimeters (cm^3) because 1 mL = 1 cm^3.
2000 mL = 2000 cm^3
Step 2: Convert the volume of water displaced from cubic centimeters to grams because 1 cm^3 of water weighs 1 gram.
2000 cm^3 = 2000 grams
Step 3: Convert grams to kilograms because weight is typically measured in kilograms.
2000 grams = 2000/1000 = 2 kg
Step 4: The buoyancy is equal to the weight of the water displaced, so the buoyancy in this case is 2 kg.
To determine if the object will float or not, we need to compare the object's weight (20 N) to its buoyancy (2 kg converted to Newtons).
1 N = 1 kg * m/s^2
Step 5: Convert 2 kg to Newtons.
2 kg = 2 * 9.81 N (using standard gravity)
Step 6: Compare the weight of the object (20 N) to its buoyancy (2 * 9.81 N).
Since the weight (20 N) is greater than the buoyancy (19.62 N), the object will not float. Therefore, the answer is no - it will not float.
To find the buoyancy of an object submerged in water, we need to compare the weight of the object to the weight of the water it displaces. The weight of an object is equal to its mass multiplied by the acceleration due to gravity.
Given:
Weight of the object = 20 N
Volume of water displaced = 2,000 mL
First, we need to convert the volume of water from milliliters (mL) to cubic centimeters (cm^3), as 1 mL of water is equal to 1 cm^3 of water. So, 2,000 mL of water is equal to 2,000 cm^3 of water.
Next, we need to convert the volume of water from cubic centimeters (cm^3) to grams (g), as 1 cm^3 of water is equal to 1 g of water. So, 2,000 cm^3 of water is equal to 2,000 g of water.
Finally, we need to convert the weight of water from grams (g) to kilograms (kg), as the weight should be in the SI unit of kilograms to be consistent with the weight of the object.
To convert grams to kilograms, we divide the weight in grams by 1,000. So, 2,000 g of water is equal to 2,000/1,000 = 2 kg of water.
Now, we can compare the weight of the object (20 N) to the weight of the water it displaces (2 kg) to determine the buoyancy.
Since the weight of the object (20 N) is greater than the weight of the water it displaces (2 kg), the object will sink. Thus, it will not float.
In summary,
- Buoyancy is the force exerted on an object submerged in a fluid and is equal to the weight of the fluid displaced by the object.
- The weight of the object is 20 N.
- The volume of water displaced is 2,000 mL, which is equal to 2,000 cm^3 and 2,000 g.
- Converting grams to kilograms, the weight of water displaced is 2 kg.
- The object will not float as its weight (20 N) is greater than the weight of water displaced (2 kg).