PHYSICS 1403, QUIZ 3 Chapter 6, July 25, 2006 Partial credit will be LIBERAL, provided that you show your work! USE BACK IF NEEDED! (Please tell me if you’ve done so!) Name: ______________________ 1. (10 points) CONCEPTUAL QUESTIONS!! Using complete, grammatically correct, English sentences, answer the following questions: a. State the Work-Energy Principle. (You may supplement the sentences with equations if you explain what each symbol means.) b. State the Principle of Conservation of Mechanical Energy. (You may supplement the sentences with equations if you explain what each symbol means. Note: This ISN’T the same as the Law of Conservation of Total Energy, which states that energy can neither be created nor destroyed but can only be transformed from one form to another!). 2. (20 points) Note: This problem can be solved either using the Newton’s 2nd Law (Force) methods of Ch. 4 or the Energy Methods of Ch. 6. This is a quiz over Ch. 6, so you MUST USE ENERGY METHODS TO SOLVE THIS PROBLEM! You’ll get no credit for using the Force methods of Ch. 4! You don’t need to resolve forces into components to solve this problem!! See figure. A mass m = 250 kg, initially at rest, slides down a frictionless inclined plane. The initial height is y = 4.5 m above the floor. The incline angle is 37°. y = 4.5 m, v = 0 y = 0, v = ? Before After a. Compute (find a numerical value for) the gravitational potential energy of the mass at its initial position (left figure). How much work must be done by gravity to move the mass down the incline? b. Compute (find a numerical value for) the kinetic energy of the mass at the bottom of the incline (right figure). Find it’s speed there. c. Compute (find numerical values for) the kinetic energy and the speed of the mass when it is 2.5 m above the floor (not shown in the figure)