An object of volume 4cm^3 is totally immersed in liquid of density 1030kg/m^3. Calculate the upthrust of liquid on the object.
Buoyant Force = weight of displaced liquid.
4cm^3= 0.000004m^3
0.000004x1030x9.8 = Buoyant Force
4.0E-2 = Buoyant Force
That's in Newtons.
answer
To calculate the upthrust of liquid on an object, we can use Archimedes' principle, which states that the upthrust on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
Here's how you can calculate the upthrust:
1. Determine the mass of the liquid displaced by the object:
- The volume of the object is given as 4 cm^3. Convert this to cubic meters by dividing by 1,000,000: 4 cm^3 ÷ 1,000,000 = 4 × 10^(-6) m^3.
- The density of the liquid is given as 1030 kg/m^3. Multiply the volume by the density to get the mass: 4 × 10^(-6) m^3 × 1030 kg/m^3 = 4.12 × 10^(-3) kg.
2. Calculate the upthrust:
- The upthrust is equal to the weight of the displaced liquid. The weight of an object is given by its mass multiplied by the acceleration due to gravity (g). Assuming a standard value of g as 9.8 m/s^2, multiply the mass by g: 4.12 × 10^(-3) kg × 9.8 m/s^2 = 4.04 × 10^(-2) N.
Therefore, the upthrust of the liquid on the object is approximately 4.04 × 10^(-2) N.