GATE XE (Engineering Sciences) 2022 - Question 61

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Section: Solid Mechanics | Type: NAT | Marks: 2

A sphere A of mass 𝑚 is thrown into the air at 50 m/s along a direction tanିଵሺ3/4ሻ up from the horizontal. At the topmost point of its trajectory, it has a central (non- oblique) collision with another sphere B which is at rest on top of a vertical pole. Sphere B has a mass of 3𝑚. Acceleration due to gravity is 10 m/s2. Neglect contact friction and air-resistance. If the coefficient of restitution is 0.3, then the speed (in m/s) of sphere A immediately after the collision is_________ (rounded off to one decimal place)

Answer: 0.9 to 1.1

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