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Most Important Selected Qs for JEE AdvancedPhysicsMotion in Two Dimensions

A bead moves along straight horizontal wire of length L , starting from the left end with a velocity v₀ . Its retardation is proportional to the distance from the right end of the wire. Find the initial retardation (in m / s ^2 ) (at left end of the wire) if the bead reaches the right end of the wire with a velocity v₀ 2 . (given v₀=5 ~m / s and L=1 ~m )

Correct answer

18.75

Step-by-step solution

v d v dx =- k ( L - x ) , where k is a constant. aligned & _ v₀ ^ v₀ / 2 v d v=-k ₀^L(L-x) d x & 3 4 v₀^2=K L^2 aligned So initial retardation = KL = 3 4 v ₀^2 ~L = 3 4 25=18.75 ~m / s ^2

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