Embibe Experts Solutions for Exercise 4: Assignment

A block is projected with speed $20 \mathrm{m}\hspace{0.17em}{\mathrm{s}}^{-1}$ on a rough horizontal surface. The coefficient of friction $\left(\mu \right)$ between the surfaces varies with time $\left(t\right)$ as shown in figure. The speed of body at the end of $4$ second will be $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

An object starts from rest and is acted upon by a variable force $F$ as shown in figure. If $F_0$ is the initial value of the force, then the position of the object, where it again comes to rest will be

The frictional force acting on $1 \mathrm{kg}$ block is

A block of mass $m$ is at rest on a rough inclined plane of angle of inclination $\theta$. If coefficient of friction between the block and the inclined plane is $\mu$, then the minimum value of force along the plane required to move the block on the plane is $(\tan \theta <\mu )$

A block of mass $m$ takes time $t$ to slide down on a smooth inclined plane of angle of inclination $\theta$ and height $h$. If same block slides down on a rough inclined plane of same angle of inclination and same height and takes time $n$ times of initial value, then coefficient friction between block and inclined plane is

If acceleration of $A$ is $2 \mathrm{m}\hspace{0.17em}{\mathrm{s}}^{-2}$ which is smaller than acceleration of $B$ then the value of frictional force applied by $B$ on $A$ is

Acceleration of block $A$ Varies with time as shown in figure the value of coefficient of kinetic friction between block $A$ and $B$ is

Blocks shown in figure moves with constant velocity $10 \mathrm{m}\hspace{0.17em}{\mathrm{s}}^{-1}$ Towards right. All surfaces in contact are rough. The friction force applied by $B$ on $A$ is