A spherical solid ball of volume V is made of | vedclass

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

Question

(A) At terminal speed $(v_t)$,the net force acting on the ball is zero. The forces acting on the ball are its weight $(W)$ acting downwards,and the bu

Vedclass · Accepted Answer

$\sqrt {\frac{{Vg\left( {{\rho _1} - {\rho _2}} \right)}}{k}}$

Vedclass · Answer

(A) At terminal speed $(v_t)$,the net force acting on the ball is zero. The forces acting on the ball are its weight $(W)$ acting downwards,and the buoyant force $(B)$ and viscous force $(F_v)$ acting upwards.The condition for terminal speed is:$W = B + F_v$Substituting the expressions for the forces:$V \rho_1 g = V \rho_2 g + k v_t^2$Rearranging the equation to solve for $v_t^2$:$k v_t^2 = V \rho_1 g - V \rho_2 g$$k v_t^2 = Vg(\rho_1 - \rho_2)$Solving for $v_t$:$v_t^2 = \frac{Vg(\rho_1 - \rho_2)}{k}$$v_t = \sqrt{\frac{Vg(\rho_1 - \rho_2)}{k}}$Therefore,the terminal speed of the ball is $\sqrt{\frac{Vg(\rho_1 - \rho_2)}{k}}$.

Similar Questions

$A$ codon has a sequence of $\underline{A}$,and specifies a particular $\underline{B}$ that is to be incorporated into a $\underline{C}$. What are $\underline{A}, \underline{B}, \underline{C}$ ?
$\underline{A} \quad \underline{B} \quad \underline{C}$

$A$ constant voltage of $25 ~V$ is applied to a series $L-R$ circuit at $t=0$,by closing a switch. What is the potential difference across the resistor and the inductor at time $t=0$?

At $T(K)$,$100 \ L$ of dry oxygen is present in a sealed container. It is subjected to silent electric discharge,till the volumes of oxygen and ozone become equal. What is the volume (in litres) of ozone formed at $T(K)$?

What is the unit of $K_p$ for the reaction?
$CS_{2(g)} + 4H_{2(g)} \rightleftharpoons CH_{4(g)} + 2H_2S_{(g)}$

The period of $f(x)=\cos \left(\frac{x}{3}\right)+\sin \left(\frac{x}{2}\right)$ is (in $\pi$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module