【AP物理C】【真
题
快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题
】解答题 C1974
AP? Physics C
1974 Free Response Questions
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Copyright ? 1974 by College Entrance Examination Board. All rights reserved. College Board, Advanced Placement Program, AP, SAT, and the acorn logo are registered trademarks of the College Entrance Examination Board.
1974M1. A pendulum consisting of a small heavy ball of mass m at the end of a string of length l is
released from a horizontal position. When the ball is at point P, the string forms an angle of 30? with the horizontal as shown above.
a. In the space below, draw a force diagram showing all of the forces acting on the ball at P. Identify
each force clearly.
b. Determine the speed of the ball at P.
c. Determine the tension in the string when the ball is at P.
d. Determine the tangential acceleration of the ball at P.
1974M2. The moment of inertia of a uniform solid sphere (mass M, radius R) about a diameter is 2MR?/5. The sphere is placed on an inclined plane (angle ,) as shown above and released from rest.
a. Determine the minimum coefficient of friction , between the sphere and plane with which the sphere will
roll down the incline without slipping
b. If , were zero, would the speed of the sphere at the bottom be greater, smaller, or the same as in part
(a)? Explain your answer.
1974M3. A system consists of two blocks, each of mass M, connected by a spring of force constant k. The system is initially shoved against a wall so that the spring is compressed a distance D from its original uncompressed length. The floor is frictionless. The system is now released with no initial velocity. a. Determine the maximum speed of the right-hand block.
b. Determine the speed of the center of mass of the system when the left-hand block is no longer in contact
with the wall
c. Determine the period of oscillation for the system when the left-hand block is no longer in contact with
the wall.
Copyright ? 1974 by College Entrance Examination Board. All rights reserved. College Board, Advanced Placement Program, AP, SAT, and the acorn logo are registered trademarks of the College Entrance Examination Board.
1974E1. Two concentric conducting spherical shells of radii a and b have charges of equal magnitude and opposite sign as shown above.
a. Determine the electric field at a distance r from the center. Give separate expressions for r < a,
a
b.
b. Determine the electric potential at r = b and at r = a, taking the potential equal to zero at infinity.
1974E2. A parallel-plate capacitor with spacing b and area A is connected to a battery of voltage V as shown above. Initially the space between the plates is empty. Make the following determinations in terms of the given symbols.
a. Determine the electric field between the plates.
b. Determine the charge stored on each capacitor plate.
A copper slab of thickness a is now inserted midway between the plates as shown below.
c. Determine the electric field in the spaces above and below the slab.
d. Determine the ratio of capacitances C when the slab is inserted withcopper
C original
1974E3. A small circular loop of wire with radius r is placed at the center of a large circular loop of wire with radius R. The two loops lie in the same plane, and r << R. In the outer loop there is a sinusoidal current I = Isin,t, where t is time and I and , are constants. Find an expression for the induced emf in the inner oo
loop.
Copyright ? 1974 by College Entrance Examination Board. All rights reserved. College Board, Advanced Placement Program, AP, SAT, and the acorn logo are registered trademarks of the College Entrance Examination Board.