Question

Three identical balls, ball I, ball II and ball III are placed on a smooth
noor on a straight line at the separation of 10 m between balls as
shown in figure. Initially balls are stationary, Ball I is given velocity of
m's towards ball II. Collision between ball I and II is inelastic
coefficient of restitution 0.5 but collision between ball II and III is
afectly elastic. What is the time interval between two consecutive
collisions between ball 1 and 2​

Answer 1

Answer:

velocity of I ball and II ball after collision be `v_1` and `v_2` <br> `v_2-v_1=0.5xx10` …(i) <br> `mv_2+mv_1=mxx10` …(ii) <br> `impliesv_2+v_1=10` <br> Solving Eqs. (i) and (ii), we get `v_1=2.5m//s`, `v_2=7.5m//s` <br> Ball II after moving `10m` collides with ball III elastically and stops. But ball I moves towards ball II. Time taken between two consecutive collisions <br> `10/7.5-(10-10xx2.5/7.5)/(2.5)=4s`

Explanation:

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