Laws of MotionHard

Question

There is an inclined surface of inclination θ = 30o. A smooth groove is cut into it forming angle a with AB. A steel ball is free to slide along the groove. If the ball is released from the point O at top end of the groove, the speed when it comes to A is: [g = 10 m/s2]

Options

A.
B.
C.
D.

Solution

length of groove = = 5m
acceleration along the incline = gsinθ = g sin 30o = g/2
acceleration along the groove = g/2 cos (90−α) = g/2 sinα = = 4m/s2
v2 = 2as   
v =

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