An object of mass 10 kg is released from res | vedclass

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

Question

(B) Given: Mass of the object $m = 10 \ kg$,distance $S = 2 \ m$,time $t = 1 \ s$,initial velocity $u = 0$,and acceleration due to gravity $g = 10 \ m

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) Given: Mass of the object $m = 10 \ kg$,distance $S = 2 \ m$,time $t = 1 \ s$,initial velocity $u = 0$,and acceleration due to gravity $g = 10 \ m/s^2$.Using the equation of motion $S = ut + \frac{1}{2}at^2$:$2 = 0 	imes 1 + \frac{1}{2} 	imes a 	imes (1)^2$$2 = \frac{1}{2}a \Rightarrow a = 4 \ m/s^2$.Now,applying Newton's second law for the sinking object:$mg - F_B = ma$Where $F_B$ is the buoyant force.$F_B = m(g - a) = 10 	imes (10 - 4) = 10 	imes 6 = 60 \ N$.According to Archimedes' principle,the buoyant force $F_B$ is equal to the weight of the displaced liquid:$F_B = m_{liquid} 	imes g$$60 = m_{liquid} 	imes 10$$m_{liquid} = 6 \ kg$.

An object of mass $10 \ kg$ is released from rest in a liquid. If the object moves a distance of $2 \ m$ while sinking in a time duration of $1 \ s$,then the mass of the liquid displaced by the submerged object is $(g = 10 \ m/s^2)$. (in $kg$)

Similar Questions

$A$ candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D$ $(D >> d)$ as shown in the figure. If it is burning at the rate of $2 \text{ cm/hour}$,then the top of the candle will:

$A$ cube of wood supporting a $200 \, g$ mass just floats in water. When the mass is removed,the cube rises by $2 \, cm$. The side of the cube is ............ $cm$.

An iceberg floats in water with part of it submerged. What is the fraction of the volume of the iceberg submerged if the density of ice is ${\rho _i} = 0.917 \, g/cm^3$?

$A$ boy carries a fish in one hand and a bucket (not full) of water in the other hand. If he places the fish in the bucket,the weight now carried by him (assume that water does not spill) is:

$A$ boat carrying a number of stones is floating in a water tank. If the stones are unloaded into the water,the water level in the tank will ............

Vedclass Test Series

Exam Paper Generator

Online Exam Module