To calculate the upthrust on a spherical ball immersed in a liquid, you can use the formula:
Upthrust = Volume of the ball × Density of the liquid × Acceleration due to gravity
Given:
- Volume of the spherical ball = 4.2 x 10^-3 m³
- Density of the liquid = 1028 kg/m³
- Acceleration due to gravity (g) = 10 m/s²
Now, plug in the values into the formula:
Upthrust = 4.2 x 10^-3 m³ × 1028 kg/m³ × 10 m/s²
Upthrust = 4.2 x 10^-3 × 1028 × 10 N
Upthrust = 43.056 N
Therefore, the upthrust on the spherical ball of volume 4.2 x 10^-3 m³ when totally immersed in the liquid is approximately 43.056 N.
So, the closest option to the calculated value is:
(B) 43.1 N
