Homework, Chapter 1 1) An alpha particle (charge = +2.0e) is1.0 meter from a gold nucleus (charge = +79e) and is traveling at a speed of 1´104 m/s. a) Write a parametric expression (ie. in terms of time) for the position of the particle . b) Derive the expressions for velocity and acceleration. c) What is the velocity when the alpha particle reaches the gold nucleus? General Physics II Chapter 1, Forces & Fields Page 39 2) Three charges are arranged as shown in this figure. Find the magnitude and direction of the electrostatic force on q1, the 6.00-nC charge. General Physics II Chapter 1, Forces & Fields Page 40 3) An object with a net charge of 12 μC is placed in a uniform electric field of 610 N/C, directed vertically as shown in this figure. What is the mass of the object if it "floats" in the electric field? Does the particle have a positive or negative charge? General Physics II Chapter 1, Forces & Fields Page 41 4) A proton is accelerated by a constant electric field of magnitude 1250 N/C. (a) Find the acceleration of the electron. (b) What is the electron's speed after 1.00´10-8 s, assuming it starts from rest. General Physics II Chapter 1, Forces & Fields Page 42 5) A beam of electrons must travel between 2 charged plates and exit so they just miss the top plate. The electrons are traveling at a speed of 1´104 m/s and enter at a position equidistant from both plates. What must be the magnitude and direction of the electric field for this to occur? General Physics II Chapter 1, Forces & Fields Page 43 6) This figure shows the electric field lines for two point charges. (a) Determine the ratio q1/ q2 (b) What are the signs of q1 and q2? General Physics II Chapter 1, Forces & Fields Page 44 7) Find the expression for the electric field at the point P in terms of q, d, and z. General Physics II Chapter 1, Forces & Fields Page 45 8) Find the electric field at point P. Express in terms of q, Z, and R. General Physics II Chapter 1, Forces & Fields Page 46 9) Find the electric field at point P. Express in terms of q, Z, and R. General Physics II Chapter 1, Forces & Fields Page 47 General Physics II Chapter 2, Potential Page 48