4. In the rectangle shown at right, the sides have lengths w = 5.0 cm and h = 15 cm, 91=-5.0×106 coul and +2.0×106 coul. 92 = (a) What is the electric potential VB at corner B? What is VA at corner A? (b) How much work W is involved in moving a third charge, 93 = +3.0×106 coul from B to A along a diagonal of the rectangle? A 92 (c) In this process, is external work converted into electrostatic potential energy 91 or vice versa? Explain. B 5. Calculate (a) the electric potential established by the nucleus of a hydrogen atom at the mean distance of between electron and proton, r = 5.3×10-11 m, (b) the electric potential energy of the atom when the electron is at this radius, and (c) the kinetic energy of the electron, assuming it to be moving in a circular orbit of this radius centered on the nucleus. (d) How much energy is required to ionize the hydrogen atom? Express all energies in electron volts. 6. Two long, concentric, conducting cylinders, with radii a and b > a, support an electric potential given by V=Vo In (r/a) In(b/a) where r is the distance from the axis of the cylinders. From this, derive an expression for the electric field between the cylinders. a b

When you perform the following operations, how many significant figures should your answer have?     11.13  kg  +  22.2 g = hint: units must match. Change g to kg before you add

What is the final angle θf that the ball's velocity vector makes with the negative y axis?

For the triangle shown in the figure below what are each of the following? (Let y = 52.0 m and r = 65.0 m. Assume the triangle is a right triangle.) (a) the length of the unknown side x  (b) the tangent of θ (c) the sin of ϕ

The magnitude of vector A is 26.0 units and points in the direction 310° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax = units Ay = units

A unit vector is defined as a fixed vector which locates a point in space relative to another point. True False

A closed water tank has the form of a cuboid with a square base with sides of length x  and a height  h. The total surface area of the tank is 16000 cm2 Find the value of x which maximises the volume.  Give your answer correct to 2 decimal places.

The magnitude of vector  A  is 17.0 units and points in the direction 345° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax =  units Ay =  units

If D = (6.00î – 4.00ĵ) m, B = (-3.0oî + 5.00ĵ) m, and A = (-24.0î + 4.00ĵ) m, find the unknown constants a and b such that aD + bB + A = 0. a = b =

Vector A = 7.4 i + 3.2 j.  Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in degrees.