Impulse And Momentum - Mechanics - Physics Previous Year Questions

Statement 1 :

In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.

Statement 2 :

In an elastic collision, the linear momentum of the system is conserved.

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is

Two balls, having linear momenta \({\overrightarrow p _1} = p\widehat i\) and \({\overrightarrow p _2} = - p\widehat i\), undergo a collision in free space. There is no external force acting on the balls. Let \({\overrightarrow {p'} _1}\) and \({\overrightarrow {p'} _2}\) be their final momenta. The following option(s) is (are) NOT ALLOWED for any non-zero value of \(p,{a_1},{a_2},{b_1},{b_2},{c_1}\) and \({c_2}\) :

Look at the drawing given in the figure below which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is \(m\). the mass of the ink used to draw the outer circle is \(6m\). The coordinates of the centres of the different parts are: outer circle (0, 0), left inner circle (\(-a,a\)), right inner circle (\(a,a\)), vertical line (0, 0) and horizontal line (\(0,-a\)). The y-coordinate of the centre of mass of the ink in this drawing is

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are \(v\) and 2\(v\), respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A?

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, traveling with a velocity V m/s in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 m and the bullet at a distance of 100 m from the foot of the post. The velocity V of the bullet is

A block of mass $5 \mathrm{~kg}$ moves along the $x$-direction subject to the force $F=(-20 x+10) \mathrm{N}$, with the value of $x$ in metre. At time $t=0 \mathrm{~s}$, it is at rest at position $x=1 \mathrm{~m}$. The position and momentum of the block at $t={\pi \over 4} \mathrm{s}$ are

In a scattering experiment, a particle of mass 2m collides with another particle of mass m, which is initially at rest. Assuming the collision to be perfectly elastic, the maximum angular deviation θ of the heavier particle, as shown in the figure, in radians is: