Ncert Exercises & Solutions

Two identical ball bearings in contact with each other and resting on a frictionless table is hit head-on by another ball bearing of the same time moving initially with a speed $v$ as shown in the figure.

If the collision is elastic, which of the following (as depicted in the figure) is a possible result after collision?

1.		2.
3.		4.

Hint: Apply the concept of conservation of momentum.

Step: Find the final velocities of the balls.
When two bodies of equal masses collide elastically then their velocities interchanged.
When ball $1$ collides with ball $2$ , then the velocity of the ball $1$ becomes zero, and the velocity of ball $2$ becomes $v$ , i.e., $v_1 = 0~\text{and}~v_2= v$
Similarly, when ball $2$ collides will be $3$ then, $v_2 = 0, v_3 =v$ .
Therefore, the final velocities of the balls are given by;

Hence, option (2) is the correct answer.

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