The impulse applied to a body is equal to the change in the __________ of that body.

A block of mass $M$ at rest on the floor is attached to a ball of mass $\frac{M}{2}$ via a light inextensible string of length $L$ which passes over a light small frictionless pulley. The pulley is at a height of $0.6 L$ from the floor. The ball is raised to a height of $\frac{L}{6}$  and released (see figure). The speed of the block at the instant the string gets taut (not slack) will be

A time varying force acts on a ball of mass $100 \mathrm{g}$ for $2 \mathrm{ms}$. The force versus time curve is shown below. If the initial speed of the ball is $10 \mathrm{m} {\mathrm{s}}^{-1}$, then the speed of ball after $2 \mathrm{ms}$ is

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

A ball of mass $3 \mathrm{kg}$, moving with a speed of $100 \mathrm{m} {\mathrm{s}}^{-1}$, strikes a wall at an angle $60°$ (as shown in figure). The ball rebounds at the same speed and remains in contact with the wall for $0.2 \mathrm{s}$; the force exerted by the ball on the wall is:

Two billiard balls of equal mass $30 \mathrm{g}$ strike a rigid wall with same speed of $108 \mathrm{km} {\mathrm{h}}^{-1}$ (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball $a$ and ball $b$ by the wall along $X$ direction is:

Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.

The force $‘F\text{'}$ acting on a particle of mass $‘m\text{'}$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8 \mathrm{s}$ is:

The correct dimensional formula for impulse is given by

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