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a solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r.The ratio of their speeds just after collision (e=0.5)is
Let, density constant
so, mass directly proportional to r3
so , m1 = 4/3 ∏r3ρ = m
m2 = 4/3∏8r3ρ = 8m
now , momentum consurvation , mv = mv1+8mv2 , v1 +8v2 = v
0.5 = v2 - v1 / v , v2 - v1 = 0.5v
so, 9v2 = 1.5 v , v2 = 1.5v / 9
v1 = 1.5v/9 - 0.5v = - 3v /9
v1/v2 = magnitude ratio = 3v/1.5v = 2
Thanks RegardsAmar KumarAskIITians FacultyM.tech, IIT Delhi
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