Three objects A,B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with a speed 9 m/s and makes an elastic collision with it. Thereafter, B makes completely inelastic collision with C. All motions occur on the same straight line. Find the final speed (in m/s) of the object C.
Text Solution
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(4)
from momentum conservation :
9m = (2m) V 1 – (m)V 2
⇒ 9 = 2V 1 – V 2 ..... (1)
e = 
......(2)
from eqn(1) and eqn(2) V 1 = 6 m/sec.
for second collision between second block and third block :
(2m) 6 + m(0) = (2m + m) V C ⇒ V C = 4 m/sec.
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