The $F-t$ graph for an object is shown in the figure. What will be the magnitude of the change in momentum $(\Delta p)$ in the interval of $0.03\, s$ from the start?

If the final momentum is equal to the initial momentum of the system,then:

Two billiard balls of equal mass $30 \, g$ strike a rigid wall with the same speed of $108 \, km/h$ (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 the $'X'$ direction is:

$A$ bullet of mass $20 \,g$ moving with a velocity of $200 \,m/s$ strikes a target and is brought to rest in $\left(\frac{1}{50}\right) \,s$. The impulse and average force of impact are respectively:

$1000$ small balls,each weighing $1 \text{ g}$,strike $1 \text{ cm}^2$ of area per second with a velocity of $50 \text{ m/s}$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be:

$A$ ball of mass $400\, g$ is dropped from a height of $5\, m$. $A$ boy standing on the ground hits the ball vertically upwards with a bat with an average force of $100\, N$ so that it reaches a height of $20\, m$. For how long does the ball remain in contact with the bat (in $, s$)? $[g = 10\, m/s^2]$