K1. K2. Two charges are placed on the xaxis charge Q1 at x = 0 and charge 92 at x = 4.0m. The total electric field due to both charges is 6.5N/C [Right] at x = 6.0m, and 9.0N/C [Left] at x = 2.0m. What are the values for Ql and 92? [5 points] Billy Pilgrim finds himself kidnapped by a flying saucer and taken to the planet Tralfamadore. On this planet, the acceleration of gravity is the same as that on Earth, but there is also a strong downward electric field with the field being uniform close to the planet's Surface. A 2.00kg ball having a charge of 5-00PC is thrown upward at a speed of 20.1m/s and it hits the ground after an interval of 4.105. What is the voltage difference between the starting point and the top point of the trajectory? [5 points] K3. Two planetoids with radii R1 and R2 and local accelerations 91 and g: are separated by a centretocentre distance D, and are members of a simple twobody system. A rocket is located on planetoid 1 and is scheduled to launch from this planetoid to a point between the planetoids where the net gravitational force on the rocket by the two planetoids is zero. At what distance from the centre of planetoid 1 is the zero gravitational point? Choose R1 = 1400m, R2 = lOOOm, 91 = 7.5m/s2, g: = 5.3m/s2 and D = 4800m. [5 points] C1. If you are given the density and radius of planet X, how would you calculate the acceleration of gravity on the surface of this planet? [2 points] A1. A neutral particle is at rest in a uniform magnetic field of magnitude IBI. At time t = 0 it decays into two charged particles each of mass m. a) If the charge of one of the particles in +q, what is the charge of the other? [1 point] b) The two particles move off in separate paths, both of which lie in the plane perpendicular to B. At a later time the particles collide. Express the time from decay in terms of m, IBI and q. [4 points] A2. Two light spheres each of mass 2.0g are suspended by light strings 10cm in length. A uniform electric field IEI = 4.42 x 105N/C is applied in the horizontal direction. The charges on the spheres are equal and opposite. For what charge values will the spheres be in equilibrium at an angle 6 = 10? [5 points]