2003midterm draft - NS 101 Science of Nature Midterm - 5...

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NS 101 Science of Nature Midterm - 5 December 2003 Instructors: M. Ali Alpar- Zafer Gedik- Cihan Saçlıoğlu This exam contains 5 problems, 20 pts each, and 10 multiple choice questions 2pts each. 1. A particle of mass 1 Kg. moves along the x-axis under the influence of a conservative force with potential energy U(x) = 4x 2 - 2 x 4 , starting from x = 0 with initial velocity + 2 m/s. a. What is the initial kinetic energy? b. Find the force F (x). c. Find the work done on the particle during its motion from x = 0 to x = 1m. d. What is the kinetic energy when the particle reaches x =1? e. What is the final potential energy?
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2. The two masses in the figure oscillate together on a frictionless platform. The motion follows x(t) = 0.02 cos 2t. M 1 = 1 Kg, M 2 = 2 Kg. The spring constant k = 12 N/m. There is friction between the two masses. a. Calculate the velocity v(t) . b. Calculate the acceleration a(t). c. Using the equation of motion for mass 1, F = M 1 a, calculate the static friction force on mass 1. (Note that in this situation the static friction force is changing, as a function of t, to
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2003midterm draft - NS 101 Science of Nature Midterm - 5...

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