ap物理c练习题Word格式.docx

1、1 / 19 is committed to the principles of equity and excellence, and that commitment is embodied in all of its programs, services, activities, and concerns. APIEL is a trademark owned by the College Entrance Examination Board. PSAT/NMSQT is a registered trademark jointly owned by the College Entrance

2、 Examination Board and the National Merit Scholarship Corporation. Educational Testing Service and ETS are registered trademarks of Educational Testing Service. 1985M1. A projectile is launched from the top of a cliff above level ground. At launch the projectile ismeters above the base of the cliff

3、and has a velocity of0 meters per second at an angle7? with the horizontal. Air resistance is negligible. Consider the following two cases and use g = 10 m/s2, sin7? = 0.60, and cos7? = 0.80. Case I: The projectile follows the path shown by the curved line in the following diagram. a. b. c. 2 / 19 C

4、alculate the total time from launch until the projectile hits the ground at point C. Calculate the horizontal distance R that the projectile travels before it hits the ground. Calculate the speed of the projectile at points A, B and C. Case II: A small internal charge explodes at point B in the abov

5、e diagram, causing the projectile to separate into two parts of masses kilograms and 10 kilograms. The explosive force on each part is horizontal and in the plane of the trajectory. The-kilogram mass strikes the ground at point D, located0 meters beyond point C, where the projectile would have lande

6、d had it not exploded The 10-kilogram mass strikes the ground at point E. d. Calculate the distance x from C to E. 1985M2. An apparatus to determine coefficients of friction is shown above. The box is slowly rotated counterclockwise. When the box makes an angle ? with the horizontal, the block of ma

7、ss m just starts to slide, and at this instant the box is stopped from rotating. Thus at angle ?, the block slides a distance d, hits 3 / 19 the spring of force constant k, and compresses the spring a distance x before coming to rest.In terms of the given quantities, derive an expression for each of

8、 the following. a. ?s the coefficient of static friction. b. ?E, the loss in total mechanical energy of the block-spring system from the start of the block down the incline to the moment at which it comes to rest on the compressed spring. c. ?k, the coefficient of kinetic friction. 1985M3. A pulley

9、of massm and radius r is mounted on frictionless bearings and supported by a stand of massm at rest on a table as shown above.The moment of inertia of this pulley about its axis is 1.5mr2. Passing over the pulley is a massless cord supporting a block of mass m on the left and a block of massm on the

10、 right. The cord does not slip on the pulley, so after the block-pulley system is released from rest, the pulley begins to rotate. On the diagrams below, draw and label all the forces 4 / 19 acting on each block. b. Use the symbols identified in part to write each of the following. i. The equations

11、of translational motion for each of the two blocksii. The analogous equation for the rotational motion of the pulley c. Solve the equations in part for the acceleration of the two blocks. d. Determine the tension in the segment of the cord attached to the block of mass m. e. Determine the normal for

12、ce exerted on the apparatus by the table while the blocks are in motion. 1985E1. A capacitor consisting of conducting coaxial cylinders of radii a and b, respectively, and length L is connected to a source of emf, as shown above.When the capacitor is charged, the inner cylinder has a charge + Q on i

13、t. Neglect end effects and assume that the region between the cylinders is filled with air. Express your answers in terms of the given quantities. a. Use Gausss law to determine an expression for 5 / 19 the electric field at a distance r from the axis of the cylinder where a b. Determine the potenti

14、al difference between the cylinders. c. Determine the capacitance Co of the capacitor. One third of the length of the capacitor is then filled with a dielectric of dielectric constant k =, as shown in the following diagram. d. Determine the new capacitance C in terms of Co. AP? Physics C 197Free Res

15、ponse Questions The College Board is a national nonprofit membership association dedicated to preparing, inspiring, and connecting students to college and opportunity. Founded in 1900, the association is 6 / 19 composed of more than,200 schools, colleges, universities, and other educational organiza

16、tions. Each year, the College Board serves over three million students and their parents,2,000 high schools, and,500 colleges, through major programs and services in college admission, guidance, assessment, financial aid, eollment, and teaching and learning. Among its best-known programs are the SAT

17、? . The College Board is committed to the principles of equity and 1979M1. A ball of mass m is released from rest at a distance h above a frictionless plane inclined at an angle of5? to the horizontal as shown above. The ball bounces elastically off the plane at point P1 and 7 / 19 strikes the plane

18、 again at point P2. In terms of g and h determine each of the following quantities: a. The velocity of the ball just after it first bounces off the plane at P1. b. The time the ball is in flight between points P1 and P2. c. The distance L along the plane from P1 to P2. d. The speed of the ball just

19、before it strikes the plane at P2. 1979M2. A ferryboat of mass M1 =.0 x 10kilograms moves toward a docking bumper of mass Mthat cuts off its engines to the time it first comes to rest after colliding with the bumper. At the instant it hits the bumper, t = 0 and v = meters per second. a. After collid

20、ing inelastically with the bumper, the ferryboat and bumper move together with an initial speed of meters per second. Calculate the mass of the bumper M2. b. After colliding, the ferryboat and bumper move with a speed given by the expression v =e-4t. Although the boat never comes precisely to rest,

21、it travels only 8 / 19 a finite distance. Calculate that distance. c. While the ferryboat was being slowed by water resistance before hitting the bumper, its speed was given by 1/v = 1/+ ?t, where ? is a constant. Find an expression for the retarding force of the water on the boat as a function of s

22、peed. 1979M3. A mass m constrained to move on a frictionless horizontal surface is attached to a frictionless peg by a massless spring having force constant k. The unstretched length of the spring is l1, as shown in Figure 1. When the mass moves in a circle about the peg with constant angular veloci

23、ty ?o. the length of the spring is las shown in Figure. Express your answers to parts a, b, and c in terms of m, k, ?o and l1. a. Determine the length l2 b. Assume the total energy of the system in Figure 1 is zero. Determine the total energy of the rotating system in Figure. c. Determine the magnit

24、ude of the angular momentum of the system. d. While the mass is rotating about the peg with 9 / 19 angular velocity ?o, it is struck by a hammer that provides a small impulse directed inward. On the axes below, sketch graphs to indicate qualitatively the manner in which the length of the spring l an

25、d the angular velocity ? will vary with time in the subsequent motion. 1979E1. A solid conducting sphere of radius a is surrounded by a hollow conducting shell of inner radius b and outer radius c as shown above. The sphere and the shell each have a charge +Q. Express your answers to parts , and in

26、terms of Q, a, b, c, and the Coulombs law constant. a. Using Gausss law, derive an expression for the electric field magnitude at a distance from the center of the solid sphere. b. Write expressions for the electric field magnitude at r c, b given for statements of the correct expressions. It is not necessary to show your work on this part. c. the solid sphere