In a tug war contest, two man pull on a horizontal rope from opposite sides. The winner will be the man who

Figure represents the position-time graph of a body of mass $4 \mathrm{kg}$. Impulse $\left(\mathrm{kg} \mathrm{m} {\mathrm{s}}^{-1}\right)$ imparted to the body at $t=0$ is

The correct dimensional formula for impulse is given by

A block $A$ of mass $100 \mathrm{kg}$ rests on another block $B$ of mass $200 \mathrm{kg}$ and is tied to a wall as shown in the figure. The coefficient of friction between $A$ and $B$ is $0.2$ and that between $B$ and ground is $0.3$. The minimum force required to move the block $B$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The block $Q$ is pulled on a straight horizontal surface making an angle $\mathrm{\theta }$ with the horizontal. If $a$ is the acceleration of the block, $N$ the contact force by the surface, $T$ the pull of the string along with it and $M$ the mass of the block, then

A rigid ball of mass, $m$ strikes a rigid wall at ${60}^o$ and gets reflected without any loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be