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) The terminal speed $(v_t)$ is reached when the net force acting on the ball is zero.The forces acting on the ball are:$1$. Weight of the ball acti

Vedclass · Accepted Answer

$\sqrt{\frac{Vg(\rho_1 - \rho_2)}{k}}$

Vedclass · Answer

(A) The terminal speed $(v_t)$ is reached when the net force acting on the ball is zero.The forces acting on the ball are:$1$. Weight of the ball acting downwards: $W = V \rho_1 g$$2$. Buoyant force acting upwards: $F_B = V \rho_2 g$$3$. Viscous force acting upwards: $F_v = kv_t^2$At terminal speed,the forces are balanced:$W = F_B + F_v$$V \rho_1 g = V \rho_2 g + kv_t^2$Rearranging the equation to solve for $v_t$:$kv_t^2 = V \rho_1 g - V \rho_2 g$$kv_t^2 = Vg(\rho_1 - \rho_2)$$v_t^2 = \frac{Vg(\rho_1 - \rho_2)}{k}$$v_t = \sqrt{\frac{Vg(\rho_1 - \rho_2)}{k}}$

Similar Questions

If $x^2 y - x^3 \frac{dy}{dx} = y^4 \cos x$, then $x^3 y^{-3}$ is equal to

The solution of the differential equation $\frac{dy}{dx} - y \tan x = e^x \sec x$ is

Which of the following is mismatched?

Which one of the following elements,when present as an impurity in silicon,makes it a $p$-type semiconductor?

If the lines $3x - 4y - 7 = 0$ and $2x - 3y - 5 = 0$ are two diameters of a circle with an area of $49\pi$ square units,then the equation of the circle is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module