Physics Olympiad - practice problems
Physics Olympiad refers to competitive physics examinations testing deep conceptual understanding, problem-solving skills, and mathematical application to complex physical scenarios. Problems require advanced knowledge of mechanics, electricity and magnetism, thermodynamics, optics, and modern physics. Students must apply calculus, differential equations, and sophisticated mathematical techniques to novel situations. These competitions identify and nurture talented students interested in physics, mathematics, and engineering careers. Success requires both theoretical knowledge and experimental laboratory skills.Directions: Solve each problem carefully. Show all your work.
Number of problems found: 11
- Train
A train moves along a track at constant speed v0 for a time t1 = 1.00 h, but then it must stop due to works on the track and waits at the place for a time t2 = 0.50 h. When it gets moving again, its constant speed is only 75% of the original speed v0. The - The sequence
Find the nth term of the progression 2,6,12,20... - Twelve-minute run
Runner Adam performs a twelve-minute training run every day. He starts running at a speed of 3.5 m/s and every three minutes he increases his speed by 0.5 m/s. At the end of the first section, the cyclist Eva overtakes the runner, who is riding at a const - Lucka's motion
Lucka set off in the afternoon to the skatepark. When coming down from a simple obstacle, she had at the beginning at time t0 = 0 s a speed of v0 = 0.6 m/s, and every second of motion the magnitude of her speed grew by 0.2 m/s. After 3 s of accelerated mo - Collision of bodies
From point A at a height of 2 m and from point B at a height of 6 m, two bodies are thrown at the same time towards each other. The first from point A with a horizontal speed of 8 m/s, and the second from the direction down at an angle of 45 degrees to th - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - Under the sea
In Jules Verne's famous novel "Twenty Thousand Leagues Under the Sea", three heroes – professor Aronnax with his servant Conseil and the harpooner Ned Land – experience a journey by submarine Nautilus under the command of captain Nemo. Suppose that the av - Ghost clock
At 6:15, a ghost conjured a clock that showed the correct time. At that moment, the hands on the clock began to move at the correct speed but in the opposite direction. The ghost reappeared at 7:30 p.m. What time was the clock showing at this moment? - Big celebration
An inseparable part of all big celebrations is the entertainment, during which the participants try to pull off the tablecloth from the set table so that nothing falls from the table on the ground. Let us look at this trick up close. We will start from Ne - Beam on platform
A homogeneous wooden beam of length 6.00 m and mass 72.0 kg lies on a horizontal platform high above the ground and overhangs by 1.80 m over the edge of the platform a) Decide whether a person with a mass of 60.0 kg can stand on the overhanging end of the - Fog
The car started in fog at a speed of 30 km/h. After a 12-minute drive, the fog dissipated, and the driver drove the next 12-minute distance, 17 km. The driving conditions deteriorated during the last 17 km, and the driver drove at 51 km/h. a) Calculate th
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