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Ball falls freely through height h and then moves at constant speed in water: find h

The same question, asked 2 times: 29 Jun 2022*, 9 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jun 2022

    112
    A small spherical ball of radius 0.1 mm0.1\text{ }mm and density 104 kg m−310^{4}\text{ }kg{\text{ }m}^{- 3} falls freely under gravity through a distance hh before entering a tank of water. If after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of hh will be ____\_\_\_\_ m. (Given g=10 ms−2g = 10{\text{ }ms}^{- 2}, viscosity of water =1.0×10−5= 1.0 \times10^{- 5}  N−sm−2)\left. \ N -sm^{- 2} \right).

  2. Question 2

    9 Apr 2024

    109
    A spherical ball of radius 1×10−4 m1 \times10^{- 4}\text{ }m and density 10510^{5} kg/m3kg/m^{3} falls freely under gravity through a distance hh before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of hh is approximately : (The coefficient of viscosity of water is 9.8×10−69.8 \times10^{- 6} Ns/m2Ns/m^{2} )

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