By The Committee Of Japan Physics Olympiad Japan
This ebook comprises the various difficulties and options long ago family theoretical and experimental competitions in Japan for the foreign Physics Olympiad. throughout the routines, we objective at introducing the attraction and curiosity of recent physics to high-school scholars. particularly, the issues for the second-round of festival are like lengthy trip of physics, starting with basic physics of junior-high-school point, and finishing with the forefronts of up-to-date physics and expertise.
Readership: highschool scholars and highschool lecturers, in addition to undergraduates.
Read or Download Physics Olympiad - Basic To Advanced Exercises PDF
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Extra resources for Physics Olympiad - Basic To Advanced Exercises
2. A ball thrown oﬀ a cliﬀ Suppose a ball is thrown oﬀ a cliﬀ with the same initial speed, v0 , in the following three manners (see Fig. 16): A. The ball is thrown upward. B. The ball is thrown horizontally. C. The ball is thrown downward. Fig. 16. December 9, 2013 15:25 9inx6in Physics Olympiad: Basic to Advanced Exercises b1653-ch02 33 Mechanics Here, vA , vB and vC denote the speeds of the ball at the moment when it reaches the ground in cases A, B and C, respectively. Choose from the following (a) through (f) the best relation between vA , vB , and vC , assuming that air resistance is negligible.
We take the vertical axis to be the y-axis. If the ball is shot from a point at y = 0 at t = 0, the y-coordinate of the ball at time t is 1 y = v0 sin θ · t − gt2 . 2 Since the both targets are located on the same horizontal plane as the initial position, we set y = 0 in the preceding equation to obtain the time taken to reach the targets as t= 2v0 sin θ . g This formula implies that the time taken decreases as the shooting angle, θ, decreases. 4. The motion of a train The speed, v, of a train that travels between two stations (A and B) connected by a straight railway is plotted as a function of t in Fig.
V is plotted as a function of t in Fig. 20. December 9, 2013 15:25 9inx6in Physics Olympiad: Basic to Advanced Exercises b1653-ch02 43 Mechanics (3) The skydiver opens his parachute at t = t0 after the performance. The equation of motion of the skydiver for t > t0 is m dv mg = mg − k1 v = −k1 v − dt k1 = −k1 (v − v1 ). The increase in the air resistance he experiences means k1 > k0 and, accordingly, v1 < v0 . Since the new motion begins with the initial condition, v = v0 (>v1 ), v − v1 is positive at all times.
Physics Olympiad - Basic To Advanced Exercises by The Committee Of Japan Physics Olympiad Japan