A liquid of density 1390 kg/m31390 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.37 m/s9.37 m/s and the pipe diameter d1d1 is 12.3 cm.12.3 cm. At Location 2, the pipe diameter d2d2 is 15.9 cm.15.9 cm. At Location 1, the pipe is Δy=9.83 mΔy=9.83 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ΔPΔP between the fluid pressure at Location 2 and the fluid pressure at Location 1.

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

The energy equivalent of the rest mass of an electron is

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.