A ball is dropped from a height $h$. If the coefficient of restitution be $e$, then to what height will it rise after jumping twice from the ground
$eh/2$
$2eh$
$eh$
${e^4}h$
$A$ bal $A$ collides elastically with another identical ball $B$ initially at rest $A$ is moving with velocity of $10m/ s$ at an angle of $60^o$ from the line joining their centres. Select correct alternative :
A body of mass m having an initial velocity $v$, makes head on collision with a stationary body of mass $M$. After the collision, the body of mass $m$ comes to rest and only the body having mass $M$ moves. This will happen only when
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). After being displaced by $5^o $ the bob $A$ is released from rest, at $t = 0$ subsequently it collides elastically head-on with the other bob.The graph showing variation in energy of pendulum $A$ with time, for $0 \leqslant t \leqslant T$ (where $T$ is the period of either pendulum).
Two particles having position vectors $\overrightarrow {{r_1}} = (3\hat i + 5\hat j)$ metres and $\overrightarrow {{r_2}} = ( - 5\hat i - 3\hat j)$ metres are moving with velocities ${\overrightarrow v _1} = (4\hat i + 3\hat j)\,m/s$ and ${\overrightarrow v _2} = (\alpha \,\hat i + 7\hat j)$ $m/s.$ If they collide after $2$ seconds, the value of $'\alpha '$ is
In a collinear collision, a particle with an initial speed $v_0$ strikes a stationary particle of the same mass. If the final total kinetic energy is $50\%$ greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is: