Imagine a smooth tunnel along a chord of non- rotating earth at a distance R 2 from the centre. R is the radius of the
Posted: Thu Feb 17, 2022 11:07 am
Imagine a smooth tunnel along a chord of non-
rotating 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 g o R [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 conserved 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.
rotating 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 g o R [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 conserved 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.