Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 1: Exercise 1

A shell of mass, $20 \mathrm{g}$ is fired by a gun of mass $100 \mathrm{kg}.$ If the muzzle speed of the shell is $6 \mathrm{km} {\min }^{-1}$, what is the recoil speed of the gun?

Consider a rocket is being fired. The kinetic energy of the rocket is increased by $16$ times where as its total mass is reduced by half through the burning of fuel. The factor by which its momentum increases is

The unit of momentum is

A body of mass $10 \mathrm{kg}$ is placed in a lift moving upward with an acceleration of $2 {\mathrm{ms}}^{-2}.$ The apparent weight of body is $\left(g=9.8 {\mathrm{ms}}^{-2}\right)$

The resultant of two forces acting at an angle of $150°$ is $10 \mathrm{kg}$ wt and is perpendicular to one of the forces. The other force is :

A constant force, $F=\frac{m_{1}g}{2}$ is applied on the block of mass $m_2$ as shown in figure. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of $m_2$.

Two blocks  $m_1=5\text{ kg}and m_2=10\text{ kg}$ are hung vertically over a light frictionless pulley as shown here. What is the acceleration of the masses when they are left free?

A block of mass $m$ is placed on a smooth inclined wedge $ABC$ of inclination $\theta$ as shown in the figure. The wedge is given an acceleration $a$ towards the right. The relation between $a$ and $\theta$ for the block to remain stationary on the wedge is,