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Viscous force on a ball at terminal velocity (weight minus buoyancy)

This type of question, asked 6 times: 27 Jun 2022, 29 Jul 2022, 24 Jan 2023, 6 Apr 2023, 6 Apr 2024, 22 Jan 2025. All 6 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    9
    The velocity of a small ball of mass ' mm ' and density d1d_{1}, when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is d2d_{2}, then the viscous force acting on the ball, will be:

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  2. Question 2

    29 Jul 2022

    114
    The velocity of a small ball of mass 0.3 g0.3\text{ }g and density 8 g/cc8\text{ }g/cc when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1.3 g/cc1.3\text{ }g/cc, then the value of viscous force acting on the ball will be x×10−4 Nx \times10^{- 4}\text{ }N, the value of xx is ____\_\_\_\_. [use g=10 m/s2g = 10\text{ }m/s^{2} ]
  3. Question 3

    24 Jan 2023

    120
    A Spherical ball of radius 1 mm1\text{ }mm and density 10.5 g/cc10.5\text{ }g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc1.5\text{ }g/cc. Viscous force on the ball when it attains constant velocity is 3696×3696 \times 10−x N10^{- x}\text{ }N. The value of xx is ____\_\_\_\_. (Given, g=9.8 m/s2g = 9.8\text{ }m/s^{2} and π=227\pi =\frac{22}{7} )
  4. Question 4

    6 Apr 2023

    3
    A small ball of mass MM and density ρ\rho is dropped in a viscous liquid of density ρ0\rho_{0}. After some time, the ball falls with a constant velocity. What is the viscous force on the ball?

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  5. Question 5

    6 Apr 2024

    19
    A small ball of mass mm and density ρ\rho is dropped in a viscous liquid of density ρ0\rho_{0}. After sometime, the ball falls with constant velocity. The viscous force on the ball is :

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  6. Question 6

    22 Jan 2025

    77
    A small rigid spherical ball of mass MM is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider g as acceleration due to gravity)

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