hw3 - t . The gravitational Feld may be assumed to be...

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Florida State University Department of Physics PHY 5246 Assignment #3 (Due Monday, October 5th, 2009.) (1) (10 points) A particle of unit mass is released from rest at a point of latitude λ , and falls under gravity in a medium which produces a retardation that is κ times the velocity. Show that the horizontal deviation at time t due to the rotation of the earth is 2 cos λ κ 3 b κt p 1 + e - κt P - 2 p 1 - e - κt PB eastwards, to Frst order in the earth’s angular velocity, ω . (2) (10 points) A particle is projected northward with speed v at an angle of elevation α from a point on the earth’s surface at north latitude λ . ±ind an approximate expression for the east-west deviation of the particle from the vertical plane of projection after time
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Unformatted text preview: t . The gravitational Feld may be assumed to be uniform, and air resistance may be neglected. (3) (10 points) A particle is thrown vertically upward with initial speed v , reaches a max-imum height and falls back to the ground. Show that the Coriolis deection when it again reaches the ground is opposite in direction, and four times greater in magnitude, than the Coriolis deection when it is dropped at rest from the same maximum height. (4) (10 points) etter and Walecka 2.5 (5) (10 points) etter and Walecka 2.6...
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This note was uploaded on 03/26/2012 for the course PHYS 2048 taught by Professor Roberts during the Fall '09 term at FSU.

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