IPhO 2017 Problem 1

Physics

Problem

Theory T1 English (Official) N R M m M R i f i i N f 0 V cr f i i = 1,...,N. f 0 N c v rms N f i i = 1,...,N f 0 v m rms page 1 of 5 Theory T1 English (Official) ⟨K⟩ −γ⟨U⟩ t t ⟨K⟩ ⟨U⟩ t t γ → → Γ = ∑ p i ⋅ r i i dΓ/dt ⟨ dΓ ⟩ t γ dt Γ N m R v m g rms g R g R g m s n v(r) v(r) r < R r ≥ R g g v(r) page 2 of 5 Theory T1 English (Official) v(r) r ≤ R g v 0 r > R g m R R v R g 0 g r R v n m g 0 s r < R r ≥R g g m p n(r) T(r) r page 3 of 5 Theory T1 English (Official) dP/dr m′ (r) r n(r) m′ (r) r page 4 of 5 Theory T1 English (Official) ′ m (r) n(r) T(r) r T 0 α n(r) = r(β + r)2 α β r page 5 of 5

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