An undeformed 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 45 ° with the horizontal and sticks to it, then the maximum elongation of the spring after the collision is

Question

An undeformed 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 45 ° with the horizontal and sticks to it, then the maximum elongation of the spring after the collision is, v 4 m 2k, v 2 m k, v 2 m 2k, v 4 m k

MARKS App · Accepted Answer

Conserving the linear momentum of the system along the rod mv cos 45 ∘ = 2 mv 1 v 1 = v 2 2 Applying work-energy theorem - 1 2 kx 2 = - 1 2 2 m v 2 2 2 ⇒ x = v 2 m k

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