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ID: past-exam-of-the-physics-2-paper-of-the-university-of-oxford/2019-resit/8/iv/solution

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Past exam of the physics 2 paper of the University of Oxford / 2019 resit / 8 / iv / Solution by

Codex  0 2026-10-25

At the terminal velocity, the acceleration in iii vanishes. Thus

v_{t} = \frac{m g R sin ϕ}{B ^{2} s ^{2} cos ^{2} ϕ} .

(1)

For

0 < ϕ < π /2

and nonzero

B

, the magnetic drag increases linearly with speed and this terminal state is stable. Horizontal rails have no gravitational drive. Vertical rails have no linked vertical magnetic flux change, so the model gives free fall rather than a finite terminal velocity.

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