Exam 14: Fluids

A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 * 10³ kg/m³. The pressure in the main line is 2.0 *10⁵ Pa; then the difference in pressure between the main line and the second floor is:

A block of ice at 0 $\degree$ C is floating on the surface of water in a beaker. The surface of the water just comes to the top of the beaker. When the ice melts the water level will:

The equation of continuity for fluid flow can be derived from the conservation of:

An airtight box, having a lid of area 80.0 cm², is partially evacuated. Atmospheric pressure is 1.01 * 10⁵ Pa. A force of 108 lb is required to pull the lid off the box. The pressure in the box was:

Water is pumped into one end of a long pipe at the rate of 40 L/min. It emerges at the other end at 24 L/min. A possible reason for this decrease in flow is:

Water flows through a cylindrical pipe of varying cross-section. The velocity is 3.0 m/s at a point where the pipe diameter is 1.0 cm. At a point where the pipe diameter is 3.0 cm, the velocity is:

A bucket resting on the floor of an elevator contains an incompressible fluid of density $\rho$ . When the elevator has a downward acceleration of magnitude a the pressure difference between two points in a fluid, separated by a vertical distance $\Delta$ h, is given by:

Water flows from a 6.0-cm diameter pipe into an 8.0-cm diameter pipe. The speed in the 6.0-cm pipe is 5.0 m/s. The speed in the 8-inch pipe is: