Q.

An un-deformed spring of spring constant k is connected to a bead of mass m which can move along a frictionless rod as shown in the figure. If the particle strikes the bead at an angle of 45o with the horizontal and sticks to it, then the maximum elongation of the spring after the collision is

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a

v2mk

b

v4mk

c

v4m2k

d

v2m2k

answer is B.

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Detailed Solution

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Conserving the linear momentum of the system along the rod  mv cos 450=2mv1;

v1=v22

Applying work-energy theorem-12kx2=-122mv222

x=v2mk

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