GATE XE 2022 XE-D Q83: Mechanics of rigid bodies

A sphere

of mass

is thrown into the air at 50 m/s along a direction

up from the horizontal. At the topmost point of its trajectory, it has a central (non-oblique) collision with another sphere

which is at rest on top of a vertical pole. Sphere

has a mass of

. Acceleration due to gravity is 10 m/s

. Neglect contact friction and air-resistance. If the coefficient of restitution is 0.3, then the speed (in m/s) of sphere

immediately after the collision is ________ (rounded off to one decimal place)

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