A stream-lined body falls through air from a | vedclass

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

Question

(D) The velocity $u$ of the body when it enters the liquid is given by conservation of energy:$mgh = \frac{1}{2} mu^2 \implies u = \sqrt{2gh}$Let $V$

Vedclass · Accepted Answer

$\sqrt{\frac{2h}{g}} \left( \frac{d}{D-d} \right)$

Vedclass · Answer

(D) The velocity $u$ of the body when it enters the liquid is given by conservation of energy:$mgh = \frac{1}{2} mu^2 \implies u = \sqrt{2gh}$Let $V$ be the volume of the body.Mass of the body $m = Vd$.Weight of the body $W = Vdg$.Buoyant force $F_B = VDg$.Net upward force $F_{net} = F_B - W = Vg(D-d)$.Retardation $a = \frac{F_{net}}{m} = \frac{Vg(D-d)}{Vd} = \left( \frac{D-d}{d} \right) g$.Since the body is moving downwards, the acceleration is $a' = -\left( \frac{D-d}{d} \right) g$.Using the equation of motion $v = u + a't$, where $v = 0$ at the point of instantaneous rest:$0 = \sqrt{2gh} - \left( \frac{D-d}{d} \right) gt$$t = \left( \frac{d}{D-d} \right) \sqrt{\frac{2h}{g}}$

$A$ stream-lined body falls through air from a height $h$ on the surface of a liquid. Let $d$ and $D$ denote the densities of the materials of the body and the liquid respectively. If $D$ > $d$, then the time after which the body will be instantaneously at rest is

Similar Questions

$A$ body floats in water with $40 \%$ of its volume outside water. When the same body floats in an oil, $60 \%$ of its volume remains outside oil. The relative density of oil is

$A$ piece of copper having an internal cavity weighs $264\, g$ in air and $221\, g$ in water. Find the volume (in $cc$) of the cavity. Density of $Cu = 8.8\, g/cc$.

$A$ balloon of mass $m$ contains water of mass $M$. If it is completely immersed in water, find the apparent mass of the balloon with water in it.

$A$ ball whose density is $0.4 \times 10^3 \ kg/m^3$ falls into water from a height of $9 \ cm$. To what depth does the ball sink in $cm$?

$A$ wax candle floats vertically in a liquid of density twice that of wax. The candle burns at the rate of $4\ cm/hr$. Then, with respect to the surface of the liquid, the upper end of the candle will:

Vedclass Test Series

Exam Paper Generator

Online Exam Module