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Material Type: Exam; Professor: Xie; Class: GENERAL PHYSICS; Subject: Physics ; University: Oklahoma State University - Stillwater; Term: Spring 2008;
Typology: Exams
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Thursday May 1, 2008, 12:00-1:50pm
NAME: TOTAL POINTS: 200
DISCUSSION SECTION: SCORE:
SECTION TA:
NOTES: You may use an electronic calculator. Math tables, dictionaries, textbook, other written materials and scratch papers are not permitted. All problems, except multiple choices, must clearly show the physical principles and the equations being used, the substitution of any number into the calculations and the answers. All work must be done directly onto the exam paper provided. Be sure to give the correct units. Obtaining programmed information from a programmable calculator is strictly prohibited.
Suggestions: (1) Read each problem carefully; (2) Do easy problems first; (3) Check your solutions.
Problem #1 (50 points) There are 10 multiple-choice questions (5 points each). Circle the correct answer.
(1) The velocity of a car in m/s moving along east is given by
V = 5 – 2 t
Its acceleration (in m/s^2 ) is given by
A. 5 B. 2 along east C. 2 along west D. 0 E. none of the above
(2) The value of i. (j x k ) is
A. 1 B. zero C. -1 D. 3 E. none of the above
(3) A turntable makes 90 revolutions per minute. Its angular speed in radian/second is
A. 2 π B. 1.5 π C. 3 π D. 3 E. none of the above
(4) The physical quantity “impulse” has the same unit as
A. force B. power C. work D. momentum E. none of the above
(5) An unstable nucleus has a mass M and is initially at rest. It ejects a particle of
mass m with speed v. The recoil speed of the remaining nucleus is
A. mv / M B. mv / (m + M) C. (m + M ) v / m D. mv/ (M-m) E. none of the above
(6) A thin circular hoop of mass 1.0 kg and radius 2.0 m is rotating about an axis through the center and perpendicular to its plane. It is slowing down at the rate of 7.0 rad/s^2. The net torque acting on it is: A. 7.0 N⋅m B. 14.0 N⋅m C. 28.0 N⋅m D. 44.0 N⋅m E. none of these
during the falling of a ball is:
B. Negative C. Zero D. Sign depends on the direction of y axis E. None of above
(8) A simple harmonic oscillator consists of a mass and spring (as shown). It oscillates with period T. If the spring is cut in half and used the same mass, the period will be:
(7) The work done by gravity A. Positive
(9) An exercise weight at the surface of Earth weighs 400 N (40 lb). Its weight at a distance 2R from the center of Earth is: A. 20N B. 40N C. 60N D. 100N E. 200N
(10) A basketball floats in fluids of density:
Rank these fluids according to the magnitude (small, medium, large) of the buoyant force they exert on the basketball: A. 1,2, B. 3,2, C. 2,3, D. 3,1, E. All are the same
Problem #5 (30 points)
A 2.0-kg, 20-cm-diameter turntable rotates on frictionless bearings at 100 rpm. Two 500 g blocks fall from the above, hit the turntable simultaneously at opposite ends of a diagonal, and stick.
(A) What is the turntable’s angular velocity, in rpm, after this event? (B) What is the final kinetic energy of the system?
Problem #6 (30 points)
As shown in the figure below, 1.0-kg mass riding on top of a 5.0-kg mass as it oscillates on a frictionless surface. The spring constant is 50 N/m and the coefficient of static friction between the two blocks is 0.50.
(A) What is the oscillating angular frequency of the masses when there is no slip between the two blocks? (B) What is the maximum oscillation amplitude for which the upper block does not slip?