Four smooth steel balls of equal mass at rest | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) When two objects of equal mass undergo a perfectly elastic head-on collision,they exchange their velocities.Let the masses of the four balls be $m

Vedclass · Accepted Answer

$0.4$

Vedclass · Answer

(A) When two objects of equal mass undergo a perfectly elastic head-on collision,they exchange their velocities.Let the masses of the four balls be $m_1 = m_2 = m_3 = m_4 = m$.The initial velocity of the first ball is $v_1 = 0.4\, m/s$,and the others are at rest $(v_2 = v_3 = v_4 = 0)$.$1$. Collision between ball $1$ and ball $2$: Ball $1$ comes to rest,and ball $2$ acquires velocity $0.4\, m/s$.$2$. Collision between ball $2$ and ball $3$: Ball $2$ comes to rest,and ball $3$ acquires velocity $0.4\, m/s$.$3$. Collision between ball $3$ and ball $4$: Ball $3$ comes to rest,and ball $4$ acquires velocity $0.4\, m/s$.Thus,the velocity of the last ball is $0.4\, m/s$.

Similar Questions

Which of the following potential energy curves in the figure cannot possibly describe the elastic collision of two billiard balls? Here $r$ is the distance between the centres of the balls.

$A$ body of mass $m$ is at rest. Another body of the same mass moving with velocity $V$ makes a head-on elastic collision with the first body. After the collision,the first body starts to move with velocity:

In the figure,determine the type of collision. The masses of the blocks,and the velocities before and after the collision are given. The collision is

$A$ molecule of mass $m$ moving with velocity $v$ makes $5$ elastic collisions with a wall of a container per second. The change in momentum of the wall per second in $5$ collisions will be:

$A$ billiard table has length and width as shown in the figure. $A$ ball is placed at point $A$. At what angle $\theta$ should the ball be projected so that after colliding with two walls,the ball will fall into the pocket $B$? Assume that all collisions are perfectly elastic and neglect friction.

Vedclass Test Series

Exam Paper Generator

Online Exam Module