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 Oxis F F as represented in the figure below (as function ofx). At the origin of Ox axis is
x 0
placed a perfectly reflecting wall.
A friction force of constant modulus F 1,00N acts anywhere the particle is situated.
f
The particle starts from the point x x 1,00m having the kinetic energyE 10,0J .
0 c
a. Find the length of the path of the particle before it comes to a final stop
b. Sketch the potential energy U(x) of the particle in the force fieldF .
x
c. Draw qualitatively the dependence of the particle speed as function of his coordinatex.
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