The bob $A$ of a pendulum released from $30^o$ to the vertical hits another bob $B$ of the same mass at rest on a table as shown in Figure. How high does the bob A rise after the collision ? Neglect the size of the bobs and assume the collision to be elastic

887-30

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Bob $A$ will not rise at all

In an elastic collision between two equal masses in which one is stationary, while the other is moving with some velocity, the stationary mass acquires the same velocity, while the moving mass immediately comes to rest after collision. In this case, a complete transfer of momentum takes place from the moving mass to the stationary mass.

Hence, bob $A$ of mass m, after colliding with bob $B$ of equal mass, will come to rest, while bob $B$ will move with the velocity of bob $A$ at the instant of collision.

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Which of the following is correct?

The bob $A$ of a pendulum released from horizontal to the vertical hits another bob $B$ of the same mass at rest on a table as shown in figure.

If the length of the pendulum is $1\,m$, calculate

$(a)$ the height to which bob $A$ will rise after collision.

$(b)$ the speed with which bob $B$ starts moving.

Neglect the size of the bobs and assume the collision to be elastic.

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 $A$ ?

  • [IIT 2009]

A particle of mass $m$ is moving along the $x$ -axis with initial velocity $u \hat i$. It collides elastically with a particle of mass $10\, m$ at rest and then moves with half its initial kinetic energy (see figure). If $\sin \theta_{1}=\sqrt{n} \sin \theta_{2}$ then value of $n$ is.....

  • [JEE MAIN 2020]