The velocity of a small ball of mass 0.3g and density 8 g/cc when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1.3 g/cc, then the value of viscous force acting on the ball will be x × 10^-4 N, value of x is________. [use g = 10 m/s²]

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alok kumar singh | Contributor-Level 10

2 months ago

m = 0.3g density, $ρ_{(b a l l)} = 8 g / c c$ $∴ V = \frac{m}{ρ} = \frac{0.3}{8} c c$

$ρ_{g l y c e r e n e} = 1.3 g / c c = 1.3 \times 1 0^{3} k g / m^{3}$

F_v + F_B = mg.

=F_v = mg – F_B = .3 × 10^-3 × 10 – 1.3 × $\frac{0.3}{8} \times 1 0^{- 6} \times 10 \times 1 0^{3}$

$= 3 \times 1 0^{- 3} - \frac{. 39}{8} \times 1 0^{- 2} = 3 \times 1 0^{- 3} - . 5 \times 1 0^{- 3}$

= 2.5 × 10^-3N

= 25 × 10^-4N

x = 25

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The velocity of a small ball of mass 0.3g and density 8 g/cc when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1.3 g/cc, then the value of viscous force acting on the ball will be x × 10^-4 N, value of x is________. [use g = 10 m/s²]

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The velocity of a small ball of mass 0.3g and density 8 g/cc when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 1.3 g/cc, then the value of viscous force acting on the ball will be x × 10-4 N, value of x is________. [use g = 10 m/s2]