A ball of weight $0.1\, kg$ coming with speed $30\, m/s$ strikes with a bat and returns in opposite direction with speed $40 \,m/s$, then the impulse is (Taking final velocity as positive)

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

Figure shows the position-time graph of a particle of mass $4 \,kg$. What is the

$(a)$ force on the particle for $t\, <\, 0, t \,> \,4\; s, 0 \,<\, t \,< \,4\; s$?

$(b)$ impulse at $t=0$ and $t=4 \;s ?$ (Consider one-dimensional motion only).

A body of $2\, kg$ has an initial speed $5ms^{-1}$. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.  .......... $m{s^{ - 1}}$

Consider the following statement: When jumping from some height, you should bend your knees as you come to rest, instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement

A ball of mass $0.15\; kg$ hits the wall with its initial speed of $12 \;ms ^{-1}$ and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is $100\; N$. calculate the time duration of the contact of ball with the wall $.........cm$