A cork is submerged in water by a spring atta | vedclass

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

Question

(B) Let the density of the cork be $d$ and the density of water be $\rho$. The volume of the cork is $V$.The forces acting on the cork are the buoyant

Vedclass · Accepted Answer

Decreases

Vedclass · Answer

(B) Let the density of the cork be $d$ and the density of water be $\rho$. The volume of the cork is $V$.The forces acting on the cork are the buoyant force $F_B = V \rho g$ (upwards),the weight of the cork $W = V d g$ (downwards),and the spring force $F_s$ (downwards).In the stationary frame,the equilibrium condition is $F_B = W + F_s$,so $F_s = V \rho g - V d g = V(\rho - d)g$.When the elevator moves downwards with acceleration $a$,the effective acceleration due to gravity becomes $g_{eff} = (g - a)$.The new spring force is $F_s' = V(\rho - d)(g - a)$.Since $(g - a) < g$,the new spring force $F_s'$ is less than the original spring force $F_s$. Therefore,the elongation of the spring decreases,and the spring length decreases.

$A$ cork is submerged in water by a spring attached to the bottom of a pail. When the pail is kept in an elevator moving with an acceleration downwards,the spring length

Similar Questions

$A$ 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 ............ $cm$.

When an air bubble rises in water,does its potential energy increase or decrease?

$A$ 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.

$A$ hollow spherical body of outer and inner radii of $4 \ cm$ and $2 \ cm$ respectively floats half submerged in a liquid of density $2.0 \ g \ cm^{-3}$. The density of the material of the sphere is (in $g \ cm^{-3}$)

The weight of a body in water is one-third of its weight in air. The density of the body is ....... $g/cm^3$. (in $.5$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module