The velocity of a small ball of mass 0.3 , g | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) When the velocity of the ball becomes constant,it is known as terminal velocity. At this state,the net force acting on the ball is zero.$F_V + F_B

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(C) When the velocity of the ball becomes constant,it is known as terminal velocity. At this state,the net force acting on the ball is zero.$F_V + F_B = mg$Where $F_V$ is the viscous force,$F_B$ is the buoyant force,and $mg$ is the weight of the ball.$F_V = mg - F_B = V ho_B g - V ho_L g = V g (ho_B - ho_L)$Given: Mass $m = 0.3 \, g = 0.3 	imes 10^{-3} \, kg$,Density of ball $ho_B = 8 \, g/cc = 8000 \, kg/m^3$,Density of glycerine $ho_L = 1.3 \, g/cc = 1300 \, kg/m^3$.Volume $V = \frac{m}{ho_B} = \frac{0.3 	imes 10^{-3} \, kg}{8000 \, kg/m^3} = \frac{0.3}{8} 	imes 10^{-6} \, m^3$.$F_V = (8000 - 1300) 	imes (\frac{0.3}{8} 	imes 10^{-6}) 	imes 10$$F_V = 6700 	imes \frac{0.3}{8} 	imes 10^{-5} = 67 	imes \frac{0.3}{8} 	imes 10^{-3} = \frac{20.1}{8} 	imes 10^{-3} = 2.5125 	imes 10^{-3} = 25.125 	imes 10^{-4} \, N$.Thus,$x = 25.125$.

Similar Questions

$A$ small spherical ball of radius $r$,falling through a viscous medium of negligible density has terminal velocity $v$. Another ball of the same mass but of radius $2r$,falling through the same viscous medium will have terminal velocity:

$A$ copper ball of radius $3.0 \,mm$ falls in an oil tank of viscosity $1 \,kg / ms$. Then, the terminal velocity of the copper ball will be (Density of oil $= 1.5 \times 10^3 \,kg / m^3$, Density of copper $= 9 \times 10^3 \,kg / m^3$ and $g = 10 \,m / s^2$.)

$A$ sphere of radius $r$ and density $\rho$ is dropped from a height $h$. When it falls into water,it attains a terminal velocity. If the coefficient of viscosity of water is $\eta$,then $h =$

Two drops of equal radius are falling with a terminal velocity of $5 \, cm/s$. If they coalesce to form a single larger drop,what will be the terminal velocity of the new drop?

$A$ small spherical body of radius $r$ and density $\rho$ moves with the terminal velocity $v$ in a fluid of coefficient of viscosity $\eta$ and density $\sigma$. What will be the net force on the body?

Vedclass Test Series

Exam Paper Generator

Online Exam Module