Q1. Water flows over Victoria Falls, which is 128 m high, at an average rate of 1.6 × 106 kg/s. The acceleration of gravity is 9.81 m/s2 .If half the potential energy of this water was converted into electric energy, how much power would be formed by these falls?

Give answer in units of MW.

Q2. Two stationary positive point charges, charge 1 of magnitude 3.30 nC and charge 2 of magnitude 1.80 nC, are separated by a distance of 31.0 cm. An electron is released from rest at the point midway between the two charges, and it moves all along the line connecting the two charges.

What is the speed v_final of the electron when it is 10.0 cm from charge 1?

Q3. A rotating uniform-density disk of radius R =0.55 m and mass M = 6 kg is mounted in the vertical plane. A lump of clay with mass m = 0.5 kg falls and sticks to the outer edge of the wheel at the location A = (-0.5, 0.229129, 0) m (choice of axes: x to the right, y up, z out of the page; origin at the center of the axle). Just by the impact, the clay has speed v0 = 9 m/s, and the disk is rotating clockwise with angular speed w0 = 0.4 rad/s.

Just following the impact, what is an angular speed of the combined system of wheel plus clay?