$A$ spherical body of mass $100 \,g$ is dropped from a height of $10 \,m$ from the ground. After hitting the ground, the body rebounds to a height of $5 \,m$. The impulse of force imparted by the ground to the body is given by: (given $g = 9.8 \,m/s^2$)

  • A
    $4.32 \,kg \,m/s$
  • B
    $43.2 \,kg \,m/s$
  • C
    $23.9 \,kg \,m/s$
  • D
    $2.39 \,kg \,m/s$

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$A$ batsman deflects a ball by an angle of $45^{\circ}$ without changing its initial speed,which is equal to $54 \; km/h$. What is the impulse imparted to the ball in $kg \; m/s$? (Mass of the ball is $0.15 \; kg$.)

$A$ particle moves in the $xy$-plane under the action of a force $\vec{F}$ such that the components of its linear momentum $\vec{p}$ at any time $t$ are $p_x = 2\cos t$ and $p_y = 2\sin t$. The angle between $\vec{F}$ and $\vec{p}$ at time $t$ is ........... $^o$.

Two balls each of mass $250 \ g$ moving in opposite directions each with a speed $16 \ m \ s^{-1}$ collide and rebound with the same speeds. The impulse imparted to one ball due to the other is

Figures $I, II, III$ and $IV$ depict the variation of force with time. In which of these situations is the impulse the highest?

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