Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 2: Exercise 2

A body of mass $1 \mathrm{kg}$ moving with a uniform velocity of $1 \mathrm{m} {\mathrm{s}}^{-1}$. If the value of $g$ is $5 \mathrm{m} {\mathrm{s}}^{-2}$, then the force acting on the frictionless horizontal surface on which the body is moving is

A weight $W$ rests on a rough horizontal plane. If the angle of friction be $\theta$, the least horizontal force that will move the body along the plane will be

A particle moves so that its acceleration is always twice its velocity. If its initial velocity is $0.1 \mathrm{m} {\mathrm{s}}^{-1}$, its velocity after it has gone $0.1 \mathrm{m}$ is

A horizontal force of $10 \mathrm{N}$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is

In an explosion, a body breaks up into two pieces of unequal masses. In this

The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is $\mu .$ The inclination $\theta$ of the plane is

If ${\mu }_s, {\mu }_k$ and ${\mu }_r$ are coefficients of static friction, sliding friction and rolling friction, then

A block is at rest on an inclined plane making an angle $\alpha$ with the horizontal. As the angle $\alpha$ of the inclination is increased, the block just starts slipping when the angle of inclination becomes $\theta$. Then the coefficient of static friction between the block and the surface of the inclined plane is