Two identical balls A and B. each of mass 2 kg and radius R, are suspended vertically from inextensible strings as shown in Fig. The third ball C of mass 1 kg and radius r=(sqrt(2)-1)R falls and hits A and B symmetrically with 10 m//s. Speed of both A and B just after the collision is 3 m//s. The value of coefficient of restitution is

Two identical balls A and B. each of mass 2 kg and radius R, are suspe

1.	Two identical balls A and B. each of mass 2 kg and radius R, are suspended vertically from inextensible strings as shown in Fig. The third ball C of mass 1 kg and radius r=(sqrt(2)-1)R falls and hits A and B symmetrically with 10 m//s. Speed of both A and B just after the collision is 3 m//s. The value of coefficient of restitution is
Answer» `1/4` `1/sqrt(2)` `sqrt(2)-1` `1/2` SOLUTION :`e=("VELOCITY of SEPARATION")/("Velocity of approach")` `implies e=(3costheta+V_(C)^(')sintheta)/(10sintheta)impliese=(3+2)/10=1/2`