Part D - Application (Full Solutions are Required) [20 marks] 15. An electron with a horizontal speed of 4.( x 10 m/s and no vertical component of velocity passes through two horizontal plates as shown below. The magnitude of the electric field between the plates are 150 N/C. The plates are 6.0 cm long. [ m = 9.11 x 10 ka.q = -1.6 x 10 1"C)[8 marks] a ) how long does it take for the electron to pass through the plates? [2 marks] b) Determine the vertical component of the electron's final velocity. [2 marks] c) Calculate the final velocity of the electron (4 marks] + +12. Explain hon.r two objects attract one another due to an electric force, when one object has zero net charge. [2 marks] 6. Two charged spheres are 5.00 cm apart. One sphere has a charge of 2.50 x 10 * c and the other sphere has a charge of 20 x 10 c . Assuming 500 x 10 N. m /C , the electric force between the two spheres is a. 1.44 x 10'N d. 2.88 x 10 'N b. 4.44 x 10-"N e. 4.44 x 10-"'N C. 2.25 x 10" N 7. Which of the following diagrams represents the field of force around a negative point charge? a, d. b. e. C.1. Which of the following best describes the strength of the gravitational force on Earth due to your mass? a) It is zero as long as you are standing on Earth's surface. b) it is much greater than Earth's gravitational force on you because Earth's mass is so great. c) It is equal in magnitude of the force that Earth exerts on you. d) It is negligible compared to the force of gravity on you because your mass is so small when compared to Earth's mass. 2. Spherical planet A has a mass m and radius r. Spherical planet B has mass 2m and a radius of 4r. How does the gravitational field strength at the surface of the planet B compare to the surface of planet A? a) It is the same as planet A. b) It is twice that of planet A. c) It is half that of planet A. d) It is one-eighth that of planet A. 3. How does a planet's gravity help keep a satellite in a circular orbit? a) It pulls the satellite in the same direction as its motion. b) It pulls the satellite at an angle 30* to its direction of motion. c) It pulls the satellite at an angle 60" to its direction of motion. d) It pulls the satellite at an angle 90" to its direction of motion. 4. The period of a satellite is independent of a) its own mass. b) the mass of the planet it orbits. c) the value of the gravitational constant. d) the orbital radius. 5. To pinpoint the location of your vehicle with 15 m using a Global Positioning System (GPS), how many satellites' signals must interact? a) 1. b) 2. () 3. d) 4.8. An object with charge +q experiences an electric force F when put in a particular location in the electric field 6. The positive charge +q is removed and an object with charge -4q is placed in the same location in the electric field. This charge would feel an electric force of a. -2FE d. -4FE b. -FE e. -FE 2 4 C. -2FE 9. The law of electric charges states that opposite charges a. attract each other, similar charges attract neutral objects, and charged objects repel one another b. repel each other, similar charges attract neutral objects, and charged objects attract one another C. attract neutral objects, similar charges repel each other, and charged objects attract one another d. attract each other, similar charges repel one another, and charged objects attract some neutral objects e. attract neutral objects, similar charges attract each other, and charged objects repel one another 10. Solids in which electrons are able to move easily from one atom to another are a. conductors d. neutral b. electrically charged e. capacitors C. insulators16. Three point charges are located at the corners of an equilateral triangle, as shown. The lower right charge has a value of -4.82pC. P is the midpoint on the base of the triangle and qu is directly above it. (k = 9 x 10"N . m /C") [12 marks] a) Calculate the electric field at P due to q, (7uC). [2 marks] b) Calculate the electric field at P due to q2(2 uC). [2 marks] c) Calculate the electric field at P due to q3 (-4.82pC). [2 marks]. d) Using (a),(b), and (c), calculate the electric field at P due to q1, q2, and q:. [4 marks] e) If a charge of 1 pC is place at P, determine the force acting on this particle. [2 marks] 7.00 AC 0.500 m 60.0% 2.00 AC -4.82 CPart C - Thinking (Full Solution is required) [10 marks] 14. The highest mountain in Canada is Mount Logan with a peak height of 5959 m above sea level Assume that sea level defines the height of Earth's surface. (IF = 6.38 x 10'm, mp = 5.98 x 1034 kg, G = 6.67 x 10 N . m /kg) a) Calculate the strength of Earth's gravitational field at the altitude of Mount Logan. [4 marks] b) What is the ratio of the strength of Earth's gravitational field at the top of Mount Logan to the strength of the Earth's surface? [2 marks] c) A mountain climber on top of Mount Logan wonders how fast must a satellite leave Earth's surface to reach an orbit with an altitude 800 km above his position. Calculate the velocity of the satellite. [4 marks]