Momentum and CollisionHard
Question
An undeformed spring of spring constant k is connected to a bead of mass m as shown in figure. Bead can move along long rigid rod without friction. A particle of mass m moving with velocity ′v′ in the vertical plane containing spring and rod strikes bead at an angle 45o with horizontal and sticks to bead. Choose correct alternative representing maximum elongation of spring (all particles are in same horizontal plane).
Options
A.
B.
C.
D.
Solution
Conserving moment of system along rod.
⇒ mv cos45o = 2mv1
v1 = v/2√2
By work energy theorem:
-
kx2 = - (2m)
⇒ x =
⇒ mv cos45o = 2mv1
v1 = v/2√2
By work energy theorem:
-
kx2 = - (2m)⇒ x =
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