44.
(a) We use Av = const. The speed of water is
v =
(25.0 cm)
2
− (5.00 cm)
2
(25.0 cm)
2
(2.50 m/s) = 2.40 m/s .
(b) Since p +
1
2
ρv
2
= const., the pressure difference is
∆p =
1
2
ρ∆v
2
=
1
2
(1000 kg/m
3
)[(2.50 m/s)
2
− (2.40 m/s)
2
] = 245 Pa .