1. Water is flowing in a trapezoidal earthen channel with bottom width 2 m and side slopes 1.5H/1V. The channel is carrying a discharge of 50 m3/s and is running on a slope of 0.0025 m/m. If the roughness coefficient is 0.030, what is the normal depth in the channel

Charge is distributed along the entire x-axis with uniform density λ. how much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y = a to y = b? (use the following as necessary: a, b, ε0, λ, and q for the charge on an electron.)

The voltage applied across a given parallel-plate capacitor is doubled. how is the energy stored in the capacitor affected?

Four identical lab carts each have a mass of 200 kg. different masses are added to the carts and the velocities are measured. all carts move to the right.