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IphO1983_Theoretical Ouestions

# IphO1983_Theoretical Ouestions - I PhO1983 1...

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IPhO 1983                                                                    Theoretical Questions   1. Mechanics – Problem I (8 points) Jumping particle A particle moves along the positive axis Ox (one-dimensional situation) under a force that’s projection on Ox is 0 F F x = as represented in the figure below (as function of x ). At the origin of Ox axis is placed a perfectly reflecting wall. A friction force of constant modulus N F f 00 , 1 = acts anywhere the particle is situated. The particle starts from the point m x x 00 , 1 0 = = having the kinetic energy J E c 0 , 10 = . a. Find the length of the path of the particle before it comes to a final stop b. Sketch the potential energy ) ( x U of the particle in the force field x F . c. Draw qualitatively the dependence of the particle speed as function of his coordinate x . 2. Electricity   –   Problem   II   (8   points) Different kind of oscillation Let’s consider the electric circuit in the figure, for which mH L 10 1 = , mH L 20 2 = , nF C 10 1 = , nF C 5 2 = and = k R 100 . The switch K being closed the circuit is coupled with a source of alternating current. The current furnished by the source has constant intensity while the frequency of the current may be varied.

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IphO1983_Theoretical Ouestions - I PhO1983 1...

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