Calculate the upthrust on a spherical ball of volume 4.2 x 10\(^{-4}\)m\(^{3}\) when totally immersed in a liquid of density 1028kgm\(^{-3}\)

Velapearl

2 months ago

We are finding upthrust (buoyant force).
The formula is:
Upthrust = ρ g V
Where: ρ = density of liquid
g = 10 m/s² (usually given or assumed)
V = volume of displaced liquid (since it is fully immersed)
Step 1: Write down what we are given
Volume, V = 4.2 × 10⁻⁴ m³
Density, ρ = 1028 kg/m³
g = 10 m/s²

Step 2: Substitute into formula
Upthrust = ρ g V
Upthrust = 1028 × 10 × 4.2 × 10⁻⁴
Step 3: Multiply step by step
First: 1028 × 10 = 10280
Now: 10280 × 4.2 × 10⁻⁴
Multiply 10280 × 4.2:
10280 × 4 = 41120
10280 × 0.2 = 2056
So total = 43176
Now include 10⁻⁴:
Upthrust = 43176 × 10⁻⁴
Step 4: Convert to standard form
43176 × 10⁻⁴ = 4.3176 N
Final answer:
Upthrust ≈ 4.32 N

CHRIST IS KING

3 months ago

correct