In an elastic collision between disks A and B | vedclass

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Question

(D) In an elastic collision between two bodies of equal mass where one is initially at rest,the bodies exchange velocities if the collision is head-on

Vedclass · Accepted Answer

All of the above

Vedclass · Answer

(D) In an elastic collision between two bodies of equal mass where one is initially at rest,the bodies exchange velocities if the collision is head-on. If the collision is not head-on,they move at an angle to each other.Option $(A)$: If the collision is head-on,$A$ comes to rest and $B$ moves with the initial velocity of $A$.Option $(B)$: The relative velocity of approach equals the relative velocity of separation in an elastic collision. If $A$ comes to rest and $B$ moves with velocity $v$,the relative velocity changes from $v$ to $-v$,meaning the magnitude remains the same but the direction reverses.Option $(C)$: By conservation of momentum along the $x$-axis: $mv = mv_A \cos 	heta_A + mv_B \cos 	heta_B$. If $v_A = v_B = v'$ and $	heta_A = 	heta_B = 45^{\circ}$,then $mv = 2mv' \cos 45^{\circ} = \sqrt{2}mv'$,which is physically possible.Since all scenarios are possible depending on the impact parameter,the correct answer is $(D)$.

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?

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