Name: _____________________________ Class: ___________________ Phys 103 Final - Fall 2012 (95 points total) Multiple Choice (2 points each) Identify the choice that best completes the statement or answers the question. ____ ____ 1. For a block resting on a flat surface, the Normal force is equal to: a. the frictional force c. the work b. the weight of the block d. none of the above 2. Which of these forces provides the centripetal force for a ball being twirled in a circle? a. the tension force c. the normal force b. the speed of the object d. the gravitational force 3. What is the net torque acting on this board? ____ a. 4 Nm CCW b. 0 Nm 4. Consider this graph. What is the x-intercept? ____ a. b. 0 5 c. d. 8 Nm CW 2 Nm CW c. d. 10 -2 1 Name: ________________________ ____ 5. A material with a higher specific heat... a. is more dense than an object with lower specific heat. b. has a bigger mass than materials with a lower specific heat. ID: A c. d. requires more energy to raise its temperature than for a material, of the same mass, with a lower specific heat. is warmer to the touch. Short Answer 6. Practical Questions (5 pts) Measure the length and diameter of the provided cylinder with the vernier caliper. Length = _____________ cm Diameter=______________ cm 7. (10 pts) Determine the mass of the aluminum cylinder with the provided materials. Assume all the clips have equal mass. Draw a figure and/or show any data or calculations for full credit. Mass of cylinder =______________g . 8. (5 pts) What is the density of the cylinder? Density = ___________ g/cm 3 . 2 Name: ________________________ ID: A 9. (5 pts) As we set up in lab, a cart of mass, m, is on an inclined plane of angle, θ . The cart is attached to a sting, pulley and weight that apply a force, F, up the plane. Draw a force diagram or figure showing all the forces on the cart if it is traveling UP the plane at a constant velocity. Label all forces. . 10. (5 pts) For a cart on an inclined plane as above, the mass required to move the cart at a constant velocity up the plane for a distance of 0.30 m is m u = 0.200 kg. What is the Work (W) done by the mass hanging on the pulley on the cart? . 3 Name: ________________________ ID: A 11. (10 pts) Draw the vector diagram (with resolved x and y vectors) and label the appropriate angle, θ, for a ball traveling in a circular path. Write the equations showing the sum of the forces in the x and y directions, ΣFx and ΣFy. . (5 pts) What are the period and radius of motion for this object traveling in a circular path? The displacement versus time is graphed in this figure: Simple Harmonic Motion (x vs. t) 4 Displacement (meters) 12. 3 2 1 0 -1 -2 -3 -4 0 1 2 3 4 5 6 7 8 9 time (seconds) . 4 10 11 12 13 14 Name: ________________________ ID: A 13. (10 pts) Determine the spring constant, k, from the graph. The equation of the line is: T2 = (4π2/k) (ml + mh +fms) where ml is the mass of the load, m h is the mass of the hanger, and m s is the mass of the spring. Period Squared, T 2 (s2) 1.2 1 0.8 0.6 0.4 0.2 0 0 0.05 0.1 0.15 0.2 0.25 Mass, m l + m h (kg) . 14. (10 pts) You combine 50 g of copper shot initially at 100 °C with 100 g of water at 20°C. The final equilibrium temperature is 30°C. The specific heat of water is 1 cal/(g °C). What is the specific heat, c, of copper? Show your calculations. . 5 Name: ________________________ ID: A 15. (20 pts) The following data were taken for the surface area of a sphere, which is represented by this equation: A = 4πr2 Plot the data (so that it is linear) on the graph paper and interpret it appropriately to determine the value for π. The actual value for π is 3.14. Compute the percent difference between your experimental value (from the graph) and the actual value. Show your calculations for full credit. Area (m2) 3 10 30 55 radius (m) 0.5 1 1.5 2 . Other 16. Equations: Volume of a cylinder: (π/4) d2 l Work: W = F s Heat: Q = mc∆T Hooke’s Law: F = -kx 6 ID: A Phys 103 Final - Fall 2012 (95 points total) Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. ANS: ANS: ANS: ANS: ANS: B A B D C PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 SHORT ANSWER 6. ANS: . PTS: 1 7. ANS: . PTS: 1 8. ANS: . PTS: 1 9. ANS: . PTS: 1 10. ANS: W = F s,= mg s = 0.588N PTS: 1 11. ANS: . PTS: 1 12. ANS: T = 5, r = 3 PTS: 1 13. ANS: Slope = 3.8, k=10.4 PTS: 1 1 ID: A 14. ANS: c = 0.286 PTS: 1 15. ANS: slope = 13.5, pi = 3.38, per diff = 7.6% PTS: 1 OTHER 16. ANS: . PTS: 1 2