Gravitational, Electric, and Magnetic field Assignment- Problem Set Total: 20 marks 1. A 559 kg satellite orbits Earth with a speed of 5.3 kmfs at a distance of 3.5::(19T m from Earth's centre. Mass of the Earth = 5.93 x1 Oz'kg, G = 55?): 10'\" Nmszgz. (a) Calculate the acceleration of the satellite. (b) Calculate the gravitational force on the satellite.{4 marks} 2. Two satellites are placed in their desired orbit by releasing them from the International Space Station using the Canadarm2. Satellite A is released to an orbital radius of r. Satellite B is released to an orbital radius of % r. How does the velocity of satellite B compare to the velocity of satellite A? (4 marks) 3. A 3.5 m wire carries a current of 5.5 A. The direction of the conventional current is due west. The strength of Earth's magnetic field at the location of the wire is 5.9 x 10'5\" T and the orientation of the field is north. Both the wire and Earth's magnetic field are horizontal. (a) What is the magnitude and direction of Earth's magnetic force on the wire? (b) What will the force on the wire be if the wire is rotated to an angle of 72\" with the magnetic eld?{4 marks} 4. Two positively charged particles, each of magnitude 3.0 x 113'5 C, are xed on the x-axis. One charge is placed at the origin and the other at x = 0.10 m. Determine the magnitude and direction of the electric field at x= 0.07 m. k= 8.99 31:199 Nmzi't:2 [4 marks) 5. The electrostatic force on a small sphere of charge 0.2 [10 due to another small sphere of charge -O.5 [.46 has magnitude 0.4 N. k= 8.99 x109 Nmzr'CZ. {a} Identify the nature of the force on the second sphere due to the rst. (b) Calculate the distance between the two spheres. [4 marks)