Embibe Experts Solutions for Chapter: Properties of Solid and Liquid, Exercise 2: Level 2

As a runner's foot pushes off the ground, the shear force acting on a $8 \mathrm{mm}$ thick sole, is shown in the diagram. If the force of $25 \mathrm{N}$ is distributed over the area of $15{ \mathrm{cm}}^2,$ the angle of shear (in degrees) is: (Given that shear modulus of the sole is $1.9\times {10}^4 \mathrm{N}/{\mathrm{m}}^2$) (Approximate the answer to the nearest integer.)

A cube made of homogeneous material is kept on a horizontal surface. What is the ratio of strain energy stored in lower one third to the upper one third of the cube?

(Write answer as an integer)

A steel wire of cross-sectional area $3\times {10}^{-6} {\mathrm{m}}^2$ can withstand a maximum strain of ${10}^{-3}$. Young's modulus of steel is $2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$. The maximum mass this wire can hold is,

One end of a slack wire (Young's modulus $Y$, length $L$ and cross-sectional area $A$) is clamped to a rigid wall and the other end to a block (mass $m$ ) which rests on a smooth horizontal plane. The block is se in motion with a speed $v$. What is the maximum distance the block will travel after the wire becomes taut?

An elastic spring has a force constant $k$. It is cut into three equal parts. The force constant of each part is

A block of wood has a mass of $25 \mathrm{g}.$ When a $5 \mathrm{g}$ metal piece with volume of $2 {\mathrm{cm}}^3$ is attached to the bottom of the block, the wood barely floats in water. What is the volume $V \left(\mathrm{in} {\mathrm{cm}}^3\right)$ of the wood?

A long capillary tube of mass $\text{'}\pi \text{'}$ $\mathrm{g},$ radius $2 \mathrm{mm}$ and negligible thickness, is partially immersed in a liquid of surface tension $0.1 \mathrm{N}/\mathrm{m}.$ Take angle of contact zero and neglect the buoyant force of liquid. The force required to hold the tube vertically is $\frac{3\pi }{2500}x$ newton. Find $x.\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$

A solid ball is falling through a viscous liquid of viscosity $\eta .$ It has a terminal speed of $15 \mathrm{m}/\mathrm{s}.$ Now we take another solid ball of same material but radius twice the first ball falling through same liquid, what is the new terminal speed (in $m/s$)?