Question

1) In a section of horizontal pipe with a diameter of 4.0 cm, the pressure is 115 kPa and water is flowing with a speed of 1.5 m/s. The pipe narrows to a 3.0-cm diameter. What is the pressure in kPa in the narrower region? Treat the water as an ideal incompressible fluid.

2) A 55-cm tall, 8.0-cm-diameter cylindrical container is filled to its brim with glycerin. What is the force acting on the bottom of the container?

3)

For the SHM in the figure below, determine the frequency and the amplitude of the motion using mks units. Any reasonable estimates made from the graph are OK.

4) A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency?

5) A 0.177 kg object attached to an ideal spring oscillates with
an angular frequency of 4.8 rad/s. The object has a maximum
displacement at *t* = 0.00 s of 0.25 m. What is the
potential energy of the mass-spring system at *t* = 1.4
s?

Answer #1

In a section of horizontal pipe with a diameter of 4.0 cm, the
pressure is 115 kPa and water is flowing with a speed of 1.5 m/s.
The pipe narrows to a 3.0-cm diameter. What is the pressure in kPa
in the narrower region? Treat the water as an ideal incompressible
fluid.

In
a section of horizontal pipe with a diameter of 5.00 cm the
pressure is 6.52 kPa and water is flowing at a speed of 1.70 m/s.
Then it narrows to 2.70 cm. What is the pressure in the narrow
region if water behaves as an ideal fluid?

A 7.0-cm-diameter horizontal pipe gradually narrows to 4.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 32.0 kPa and 24.0 kPa ,
respectively.
What is the volume rate of flow? Express your answer using two
significant figures.

A 6.8 cm diameter pipe gradually narrows to 4.0 cm. When water
flows through this pipe at a certain rate, the gauge pressure in
these two sections is 33.0 kPa and 24.0 kPa, respectively. What is
the volume rate of flow?

A 6.6 cm diameter pipe gradually narrows to 4.0 cm. When water
flows through this pipe at a certain rate, the gauge pressure in
these two sections is 30.0 kPa and 24.0 kPa, respectively. What is
the volume rate of flow?

A 7.0-cm-diameter horizontal pipe gradually narrows to 5.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 33.0 kPa and 23.0 kPa ,
respectively.
What is the volume rate of flow?

A 6.7 cm diameter horizontal pipe gradually narrows to 5.3 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 31.5 kPa and 23.4 kPa ,
respectively.What is the volume rate of flow?

A 6.3 cm diameter horizontal pipe gradually narrows to 4.5 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 31.0 kPa and 26.0 kPa ,
respectively. What is the volume rate of flow?

A 7.8 cm diameter horizontal pipe gradually narrows to 6.8 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 33.0 kPa and 22.6 kPa ,
respectively.
What is the volume rate of flow?

A 7.0-cm-diameter horizontal pipe gradually narrows to 5.0 cm .
When water flows through this pipe at a certain rate, the gauge
pressure in these two sections is 32.0 kPa and 25.0 kPa ,
respectively.
What is the volume rate of flow?
Express your answer using two significant figures.

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