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Imagine a smooth tunnel along a chord of...

Imagine a smooth tunnel along a chord of nonrotating earth at a distance `(R)/(2)` from the centre. R is the radius of the earth. A projectile is fired along the tunnel from the centre of the tunnel at a speed `V_(@)=sqrt(gR)` [g is acceleration due to gravity at the surface of the earth]. (a) Is the angular momentum [about the centre of the earth] of the projectile onserved as it moves along the tunnel? (b) Calculate the maximum distance of the projectile from the centre of the earth during its course of motion.

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