1.328. N = plQ2/nr2 = 0.7 N•m.
1.329. F = pgh (S — s)2/ = 6 N
1.330. (a) The paraboloid of revolution: z = (6)2/2g) r2, where z
is the height measured from the surface of the liquid along the axis
of the vessel, r is the distance from the rotation axis; (b) p = Po +
ii2P(02/4•
1.331. P = nrico2R4/h = 9 W.
1.332. v— v0 ilancrd o
1.333. (a) 0)=032R/r ill R ti
1.334. (a) Q
1/2 stvoR2; (b) T
116 saR2 p4; (c) Ffr
= 4nil/v0; (d) Ap =- 411/v0/R2.
1.335. The additional head Ah = 5 cm at the left-hand end of
the tube imparts kinetic energy to the liquid flowing into the tube.
From the condition pv2/2 = pgAh we get v = If 2g Ah = 1.0 m/s.
1.336. eCCAx = 5.
1.337.
r1p1112
µm/s.
1.338. d V 18 Re Ti2
5 mm,
Po) Pog
sities of glycerin and lead.
1.339. t = —Pd2 In —
n 0.20 S.
181
—
where p0 and p are the den1.340. v = c yin (2 — = 0.1c, where c is the velocity of
light.
1.341. (a) P=a (1 +y4-3132); (b) P=a 0/-1— [32 +114— [32).
Here i = V/c.
1.342. 10 = 1 ji(1 —132 sin2 0)1(1-132)=1.08 m, where [3= v/c.
1.343. (a) tan 0' =
Hence 0' = 590;
(b) S =
—132cos20= 3.3 m2. Here [3= v/c.
1.344. v=c17(2— .
-1-f-)4t -. =0.6.108 m/s.
1.345. lo = cAt' 1/ 1 — (At/At')2 = 4.5 m.
1.346. s= cAt 1/ 1 — (Ato/At)2 = 5 m.
1.347. (a) At0 =(//v) 171—(v/c) 2 .1.4 its;
(b) /' = /
—(v/c)2 = 0.42 km.
1.348. /0 =
— (v/c)2 =17 m.
1.349. /0 = liAxiAx2 =6.0 m, v = c y1— Axil Ax2=2.2.108 m/s.
1.350. v
2t°/At
1+(t0/cet)8 •
1.351. The forward particle decayed At = /13/c (1 — 32) = 20 Its
later, where (3 = v/c.
1.352. (a) 10 — SA2g —Z,
tB) ;
'V 1— (V/C)2
; (b) N = 43rivo2
RR2fRit?