A spherical ball of diameter 1 cm and density 5 × 10 3 kg m - 3 is dropped gently in a large tank containing viscous liquid of density 3 × 10 3 kg m - 3 and coefficient of viscosity 0.1 Ns m - 2 . The distance that the ball moves in 1 s after attaining terminal velocity is g = 10 m s - 2

Step-by-step solution

Given, diameter of spherical ball d = 1   cm = 0.01  m Radius of spherical ball r = 0.01 2  m Density of spherical ball ρ = 5 × 10 3  kg   m - 3 Density of liquid σ = 3 × 10 3  kg  m - 3 Coefficient of viscosity η = 0.1   N - s   m - 2 We know that, Terminal velocity is given by v = 2 9 g r 2 ρ - σ η = 2 9 × 10 × 0.01 2 2 × 5 × 10 3 - 3 × 10 3 0.1  m  s - 1 v = 10 9  m  s - 1 Distance tr