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101119-opp

# 101119-opp - Physics 121 1 Physics 121 2 Ei = E f 1 2 mvi2...

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Unformatted text preview: 11/19/10 Physics 121 1 11/19/10 Physics 121 2 Ei = E f 1 2 mvi2 + 1 I 2 2 i mgh = 1 mv 2 + 1 I f 2 2 + mghi = 1 mv 2 + 1 I f 2 2 2 f + mgh f 2 f =v/R mgh = 1 mv 2 + 1 I f 2 2 = 1 mv 2 + f 2 2 gh v= I 1+ mR 2 1 2 vf 2 R I I v2 = 1 m 1 + v2 f f 2 mR 2 R2 2 f 11/19/10 Physics 121 3 11/19/10 Physics 121 4 m (kg) V (m3) m m == V V 11/19/10 Physics 121 5 11/19/10 Physics 121 6 W1 W2 = A1 A2 11/19/10 Physics 121 8 11/19/10 Physics 121 9 F Pressure has no direction! It acts in all directions at once! A F p= A F = pA The force takes its direction from A. 11/19/10 Physics 121 10 T T T 11/19/10 T Physics 121 11 11/19/10 Physics 121 12 F = p0 A (could be outside air pressure or due to external weights) A fluid of uniform density p0A W = mg pA 11/19/10 Physics 121 14 F =F mg + p0 A = pA down up Vg + p0 A = pA A d Adg + p0 A = pA p = p0 + gd * We assumed uniform density. Is this OK? For water ( ~ 1000 kg/m3) yes. For air ( ~ 1 kg/m3) OK for meters — not km. 11/19/10 Physics 121 15 d2 d1 p1 p2 11/19/10 Physics 121 16 F net = p2 A p1 A p1 = p0 + gd1 p2 = p0 + gd 2 F net = ( p2 p1 ) A F net = ( p0 + gd 2 F net d2 d1 p1 p2 p0 gd1 ) A = g (d 2 d1 ) A = Vg = mg The buoyant (upward) force = the weight of the fluid displaced. 11/19/10 Physics 121 17 ...
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101119-opp - Physics 121 1 Physics 121 2 Ei = E f 1 2 mvi2...

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