Inertia, Momentum, and Impulse

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A player caught a cricket ball of mass $150 g$ moving at a rate of $20 m/s$ . If the catching process is completed in $0.1 s$ , the force of the blow exerted by the ball on the hand of the player is equal to

150 N

3 N

30 N

300 N

JEE Main 2021 (25 July Shift-I)

Two billiard balls of equal mass 30 g strike a rigid wall with 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 x-direction is

2 : 1

1 : 2

The figure shows the position-time (x-t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is

JEE Advanced 2018

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass $m = 0.4 kg$ is at rest on this surface. An impulse of $1.0 Ns$ is applied to the block at time $t = 0$ , so that it starts moving along the $X$ -axis with a velocity $v (t) = v_{0} e^{- \frac{t}{τ}}$ , where $v_{0}$ is a constant and $τ = 4 s$ . The displacement of the block, in metres, at $t = τ$ is .............. . (Take, $e^{- 1} = 0.37$ ).

JEE Advanced 1994

The magnitude of the force (in Newtons) acting on a body varies with time $t$ (in microseconds) as shown in the figure. $A B$ , $B C$ and $C D$ are straight line segments. The magnitude of the total impulse of the force on the body from $t = 4 μ s$ to $t = 16 μ s$ is ......... N-s.