Momentum and CollisionHard
Question
A spherical ball of mass 1 kg moving with a uniform speed of 1 m/s collides symmetrically with two identical spherical balls of mass 1 kg each at rest touching each other. If the two balls move with 0.5m/s in two direction at the same angle of 60o with the direction of the first ball of kinetic energy on account of the collision is :
Options
A.0.125J
B.0.5J
C.1.0J
D.0.75J
Solution
m × 1 = mv1 + (2mv2 × cos 60o)
⇒ v2 =
& v1 = 
(KE)initial =
× 1 × 12 = 0.5 J
(KE)final =
(1) × 
+ 
× 2
= 0.25 + 0.125 = 0.3755
ᐃKE = 0.5 - 0.375 = 0.125 J
⇒ v2 =
& v1 = (KE)initial =
× 1 × 12 = 0.5 J(KE)final =
(1) × + × 2= 0.25 + 0.125 = 0.3755
ᐃKE = 0.5 - 0.375 = 0.125 J
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