A) (Uniform Field) Flash Gordon has a mass of 80 kg and is standing on the surface of a planet of mass 6.00 * 102 kg with a radius of 7000 km. Determine the gravitational force field strength *g'. Determine the constant acceleration of Flash Gordon if he falls *a'. B) (Uniform Field) Barbarella places a 10 mg pithball of charge -250 uC between two massive parallel places separated by 50 cm with a potential difference of 10 000 V. The force of gravity is negligible relative to the electric force. Determine the electric force field strength 'S'. Determine the ball's constant acceleration "a'. C) (Point Source Field) Commander Adama is initially 63 800 km from the centre of the Earth and he falls towards the Earth for a long period of time until he is rescued by space rangers where he is only 12 760 km from the centre of the Earth. Determine the gravitational force field strength "g' and instantaneous acceleration "ainst' at both positions. The Earth masses 5.98x1024 kg. D) (Point Source Field) Captain Archer has a mass of 100 kg and he wears an electric suit of charge +1 mC and floats near a space station of charge - 5 C. He is initially 100 m from the space station and after some period of time he ends up at a distance of 10 m from the space station. Determine the electric force field strength 'S' and instantaneous acceleration "#inst" at both positions. E) (Point Source Field) Commander Sinclair is on the Earth standing 10 m below a 115 kV DC power line with 1000 A of current running North. A 10 mg pithball of charge -250 JC if fired underneath and the power line at a speed of 1 000 m/'s from Commander Sinclair' position. Determine the magnetic force field strength 'B' and the instantaneous acceleration "Binst" for instantaneous velocity directions of I) [North], II) [North 30" East], III) [Northeast], IV) [North 60" East], V) [East]. B - Force Field Strength & Jedi Proportion Trick /30 (Do 3 of the 6 following problems or more for extra credit) A) Captain Pike measures the gravitational field strength on the Moon's surface to be 1.6 N/kg where the mass of the Moon is 7.3477 x 10" kg and its radius is 1 737 km. Mars has a mass of 6.4185x1025 kg and a radius 1.95% that of the Moon. Determine the gravitational field strength on the surface of planet Mars. B) Buck Rogers measures the gravitational field strength on the Earth's surface to be 9.8 N/kg. The mysterious planet X has twice the mass and triple the radius. Determine the gravitational field strength on the surface of planet X.B) Buck Rogers measures the gravitational field strength on the Earth's surface to be 9.8 N/kg. The mysterious planet X has twice the mass and triple the radius. Determine the gravitational field strength on the surface of planet X. C) Dr. Who measures the gravitational field strength on the Earth's surface to be 9.8 N/kg. The alien planet Vulcan has 10% more mass only 95% the Earth's radius. Determine the gravitational field strength on the surface of planet Vulcan. D) Lt. Ripley measures the electric field strength 1.5 m from a Van de Graaf generator to be - 9 000 N/C. If the Van de Graaf charge is quadrupled and the stance is increased by I'm then determine the new electric field strength. E) Ambassador Spock measures the electric field strength between two parallel plates to be + 100 N/C [Upwards]. If the voltage is tripled and the separation distance is doubled what will be the resultant electric field strength? F) HAL the computer measures the magnetic field near a 1000 A power line to be 8 T. If the current is increased by 25% and the distance is doubled then what would the new magnetic field strength be?y - Force Fields & Centripetal Motion /30 A) Starbuck knows the Earth has a mass of 5.98 x 10" kg and its radius is 6380 km. The Sun has a mass of 1.99 x 10 kg and a radius of 696000 km. The Earth orbits the Sun with an average orbital radius of on astronomical unit (1.49 x 10 m). Determine the force of gravity between the Earth and Sun. The force of gravity provides the centripetal force acting on the Earth while it revolves around the Sun. D) Determine the speed of the Earth in its orbit around the Sun in km/h and Mach (Mach 1 = 341 m/s & 10 m/s =36 km/h). II) Determine the period of the Earth's orbit around the Sun and then compare your answer to the accepted value of 365.26 days where a day is 86 400 s. B) Captain Kirk wishes to determine the speed of an electron inside a hydrogen atom using the Bohr-Rutherford model of the atom. He attempts to use Newtonion physics, foolishly ignoring special relativity and quantum mechanics. The masses of a proton and electron are 1.67 x 10 2 kg and 9.11 x 10 3 kg respectively. They also have electrical charges of +le and -le respectively where is e the elementary charge is 1.6 x 10-19C. The average orbital radius of the electron in the first orbital shell is 5.3 x 10 " m. Using the Bohr-Rutherford model the centripetal force should be provided by the gravitational and electric forces between the proton and electron. I) Check to see if the gravitational force is negligible relative to the electric force. II) Calculate the average speed of the electron orbiting around the proton in the hydrogen atom and compare it to the speed of light c (ex v = 0.95 c). III) Determine the frequency of the electron orbiting the nucleus. C) Captain Sisko observes an electron circling in a smoke box at the surface of the Earth where the magnetic field is 45 JT [Up]. The electron's centripetal motion has a radius of 10 cm. Determine speed of the electron and covert the answer in to Mach or c (ex. Mach 10 where Mach 1 = 341 m/'s, or 0.10 c where c is the speed of light). For now on convert all m/s answers into a more reasonable units of measurement. Ex. I 5 m/s = 18 km/h (slow) Ex.2 5 115 m/s = Mach 15 (medium) Ex.3 150 000 000 m/s = 0.5 c (fast)