In an elastic collision of two particles the following is conserved
Momentum of each particle
Speed of each particle
Kinetic energy of each particle
Total kinetic energy of both the particles
Two pendulums with identical bobs and lengths are suspended from a common support such that in rest position the two bobs are in contact (figure). One of the bobs is released after being displaced by $10^o$ so that it collides elastically head-on with the other bob.
$(a)$ Describe the motion of two bobs.
$(b)$ Draw a graph showing variation in energy of either pendulum with time, for $0\, \leqslant \,t\, \leqslant \,2T$, where $T$ is the period of each pendulum.
The bob $A$ of a simple pendulum is released when the string makes an angle of ${45^o}$with the vertical. It hits another bob $B$ of the same material and same mass kept at rest on the table. If the collision is elastic
$Assertion$ : If collision occurs between two elastic bodies their kinetic energy decreases during the time of collision.
$Reason$ : During collision intermolecular space decreases and hence elastic potential energy increases.
Two particles of masses $m_1$ and $m_2$ in projectile motion have velocities ${\vec v_1}$ and ${\vec v_2}$ respectively at time $t$ = $0$ . they collide at time $t_0$ . Their velocities become ${\vec v_1'}$ and ${\vec v_2'}$ at time $2t_0$ while still moving in air. The value of $\left| {\left( {{m_1}{{\vec v}_1}' + {m_2}{{\vec v}_2}'} \right) - \left( {{m_1}{{\vec v}_1} + {m_2}{{\vec v}_2}} \right)} \right|$ is
In an elastic collision between disks $A$ and $B$ of equal mass but unequal radii, $A$ moves along the $x$ -axis and $B$ is stationary before impact. Which of the following is possible after impact?