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?
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