An artillery shell is projected due north from a point at latitude at an angle of

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An artillery shell is projected due north from a point at latitude λ at an angle of 45◦ to the horizontal, and aimed at a target whose distance is D, where D is small compared with earth’s radius.

(a) Show that due to the Coriolis pseudoforce, and neglecting air resistance, the shell will miss its target by a distance

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where \(\omega\) is earth's angular velocity.

(b) Evaluate this distance for \(\lambda=30^{\circ}\) and \(D=50 \mathrm{~km}\).

(c) What is the physical reason for the deviation to the east near the north pole, but to the west both on the equator and near the south pole?

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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