A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s. The pipe tapers to 1.2 cm and rises to the second floor 7.9 m above the input point. If the water on the second floor has a pressure of 50 kPa, what is the water pressure at the basement (in kPa)?

A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 150 kPa. If the pipe tapers to 1.2 cm and rises to the second floor 8.2 m above the input point, what is the water pressure at the second floor (in kPa)?

A rock is thrown horizontally off a cliff with initial speed of 17.3 m/s. The rock strikes the ground at an angle of 53 degrees. How tall is the cliff in meters? Assume that the air resistance is negligible.

A horizontal mass-spring system is in simple harmonic motion, and the position of the mass can be modeled as x(t) =[0.25m] sin([3s-1]t+π/3), where x is in meters and t is in seconds. At t= 4 s, what is the ratio of the potential energy of the mass to its kinetic energy, U/K?

A transverse wave has the displacement y(x, t) = (2.1 mm) sin[(3.0 m−1)x−wt] . If its period is 0.34s, what is the velocity of the wave (in m/s)?

A rock is thrown horizontally off a cliff that is H= 23 m high. The rock strikes the ground at an angle of 46 degrees. With what initial speed (in m/s) was the rock thrown? Assume that the air resistance is negligible.

A transverse wave has the displacement y(x, t) = (3.5 mm) sin[(2.0 m−1)x−wt] . If its speed is 15 m/s, what is the period of the wave (in seconds)?

The specific structure that is GREEN and marked with arrows is:  

You are playing a musical instrument with two strings. String A is 50 cm long and string B is 70 cm long. Both strings are under the same amount of tension. You find that the frequency of the third harmonic on string A is the same as the frequency of the second harmonic on string B. What is the ratio of the linear mass density of string A, to that of string B (i.e., what is μA/μB)?

You are playing a musical instrument with two strings. The linear mass density of string A is 2.1 g/cm and that of string B is 3.4 g/cm. Both strings are under the same amount of tension. You find that the frequency of the second harmonic on string A is the same as the frequency of the third harmonic on string B. What is the ratio of the length of string B, to that of string A (i.e., what is LB/LA)?