An object has a volume of 4.0m^3 and weighs 40,000 Newtons. What will be its weight in water?
Ww = Vo*Dw = 4m^3 * 1000kg/m^3 = 4,000 kg. = Wt. of water displaced. = Wt. of
the object in water.
To calculate the weight of an object in water, you need to use the principle of buoyancy.
Step 1: Determine the density of water.
The density of water is approximately 1000 kg/m^3.
Step 2: Convert the volume of the object to cubic meters.
Assuming the volume is given in cubic meters, no conversion is necessary.
Step 3: Convert the weight of the object to kilograms.
Since weight is given in Newtons, we need to convert it to kilograms using the formula:
Weight (in kg) = Weight (in N) / Acceleration due to gravity (9.8 m/s^2)
Weight (in kg) = 40,000 N / 9.8 m/s^2
Step 4: Calculate the weight of the object in water.
The weight of the object in water can be calculated using the formula:
Weight in water = Weight of the object - Weight of the displaced water
Weight of the displaced water = Density of water × Volume of the object
Weight in water = Weight of the object - (Density of water × Volume of the object)
Substituting the values into the formula:
Weight in water = (40,000 N / 9.8 m/s^2) - (1000 kg/m^3 × 4.0 m^3)
Step 5: Calculate the weight in water by simplifying the equation.
Weight in water = 4081.63 kg - 4000 kg
Step 6: Perform the subtraction to find the weight of the object in water.
Weight in water = 81.63 kg.
Therefore, the weight of the object in water would be 81.63 kg (rounded to two decimal places).
To find the weight of the object in water, we need to consider the concept of buoyancy. The weight of an object in water can be calculated by subtracting the buoyant force from the object's weight in air.
The buoyant force is equal to the weight of the displaced water. Since the object is submerged in water, it will displace a volume of water equal to its own volume. Given that the volume of the object is 4.0 m^3, it will displace 4.0 m^3 of water.
The weight of the displaced water can be determined using the density of water. The density of water is approximately 1000 kg/m^3. We can use this value to calculate the weight of the displaced water.
Weight of displaced water = volume of displaced water * density of water
Weight of displaced water = 4.0 m^3 * 1000 kg/m^3
Weight of displaced water = 4000 kg
Therefore, the weight of the object in water will be equal to its weight in air (40,000 Newtons) minus the weight of the displaced water (4000 kg):
Weight in water = Weight in air - Weight of displaced water
Weight in water = 40,000 N - 4000 kg * 9.8 m/s^2
Note: We multiply the weight of the displaced water by the acceleration due to gravity (9.8 m/s^2) to convert it into Newtons, which is the unit of weight.
Weight in water = 40,000 N - 39,200 N
Weight in water = 800 N
Therefore, the weight of the object in water will be 800 Newtons.