Final answer:
The speed of a 2 cm radius ball in a viscous liquid can be calculated using the concept of terminal velocity.
Step-by-step explanation:
To calculate the speed of a 2 cm radius ball in the same viscous liquid, we can use the concept of terminal velocity. Terminal velocity is the maximum speed at which an object will fall through a medium, when the gravitational force pulling the object down is balanced by the drag force from the medium.
Terminal velocity can be calculated using the equation:
v = (2R²gΔρ) / (9η)
Where:
R is the radius of the ball (in meters)
g is the acceleration due to gravity (approximately 9.8 m/s²)
Δρ is the difference in density between the ball and the liquid (in kg/m³)
η is the coefficient of viscosity of the liquid (in Pa·s)
Plugging in the values for the 2 cm radius ball and the given viscosity of the liquid, we can calculate the speed of the 2 cm radius ball.