Answer the following on paper

1. Calculate the gravitational attraction between a proton of mass 1.67 x 10'27kg and an electron of mass 9.11 x 10'31kg if they are 5.00 x l'llm apart. [Zmarks] 2. Explain the 3 step process of charging by induction using: positive rad, an electroscope [a ball], and a wire. Be sure to mention the wire and movement of charges in each step and the nal charge on the electroscope. [3 marks] 3. Two equal charges of magnitude 1.1 x 10'7C experience an electrostatic force of 4.2 x 10\" N. How far apart are the centres of the two charges? [3 marks] 4. Calculate the value of the gravitational field strength 9, 250 km above the surface of Earth. [2 marks] (r; : 6.38 x 10"m. Mr : 5.98 x 10\" kg] 5. How much work is done against gravity to move a 720 kg weather monitor 120 km into the air? in = 6.38 x lLl"rrt, M; = 5.93 x 10" kg] [4 marks] 6. Charged spheres X and Y are in a set position and have charges :11 = -2.4 X 10"'C and 4,, = 3.3 x 104.: respectively. Calculate the net force on sphere Z. of charge [it = 1.72 x l'\"C. [5 marks] 7. The International Space Station is in orbit about 420 km above the surface of Earth. [4 marks] Calculate how many minutes it would take for the ISS to complete one orbit. (E = 6.38 x 105m, ME = 5.98 x 1024 kg) 8. Two small spheres, with charges q1 = 1.6 x 10-SC and q2 = 6.4 x 10-SC, are situated 2.0 m apart. They have the same sign. Where should a third sphere (q3 = 3.0 x 10-C) be placed between the two so that it experiences no net electrical force? [5 marks] 2 m X 9. Calculate the electric field 1.0 m from a small sphere with a positive charge of 3.2 x 10-3c. Describe the direction as outwards or inwards. [2 marks] 10. Determine the magnitude of the electric field at point Z in the diagram below, due to the charges at points X and Y. [5 marks] Z 4 cm +2.0 x 108c +2.0 x 10"C xC OY -3 cm 3 cm