Теоретический тур

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1Take Five

2Chain Reaction

3Lego Movie

Работа A

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1Maximum height from height at half speed *

2Speed hitting an obstacle at a higher initial speed *

3Percent kinetic energy lost in an inelastic collision *

4Trajectory after a pendulum string breaks *

5Total kinetic energy of a rolling ball *

6Maximum tension in a pendulum released horizontally *

7Functional form from a measurement graph *

8Friction force from the ground on a wedge *

9Comparing forces to raise a mass at velocity and acceleration *

10Oscillation period of a rod hung by two strings *

11Minimum launch speed to reach a neighboring planet *

12Force ratio on masses from a two-radius pulley *

13Minimum force to tip a locked laptop *

14True statements about a block sliding in a bowl *

15Optimal angle for a projectile to hit a wall highest *

16Minimum friction for a pushed pencil to roll *

17What must be equal between two halves of a spinning rod *

18Water height when a cork begins to float *

19Hydrostatic force on a submerged toy with sealed legs *

20Wire shape with zero normal force on a bead *

21Cork height in a damped fluid during elevator motion *

22Downward acceleration of a block on two wedges *

23Comparing fall times with linear and quadratic drag *

24Orbit area from a satellite's speed at apoapsis *

25Minimum friction for a rubber band on a cylinder *

Работа B

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26Distance between bounce points on a 45-degree slope *

27Moments of inertia of a four-mass wheel about different axes *

28Balancing mass after moving a seesaw's fulcrum *

29Shape formed by firework shells over time *

30Average speed of a round trip with a river current *

31Momentum of a heavier block pushed the same way *

32Scale reading while pulley masses are falling *

33Launch angle for a ball to bounce twice and return *

34Minimum force to slide a box pushed at an angle *

35Force to stretch a combination of three springs *

36Pressure force on a cup with a tied floating block *

37Minimum friction to hold two roped bricks on a slope *

38Maximum height of a ballistic pendulum with rotation *

39Surface area and volume after a cylinder splits into droplets *

40Which thrust direction keeps the same faster orbit *

41Effective point of a normal force on an inclined block *

42Timing between a puck's wall collisions in a sliding box *

43Oscillation frequency of a rod on two springs *

44Rotational oscillation frequency of a rod on two springs *

45Acceleration of a hollow sphere on an accelerating plane *

46Comparing uncertainty in a rectangle's area and perimeter *

47Launch angles for a projectile to never hit its planet *

48Velocity-acceleration curve of simple harmonic motion *

49Kinetic energy gained sliding down a moving ramp *

50Collision time scaling for heavier attracting masses *

Экспериментальный тур

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4The Future Circular ColliderУсловиеРешение

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1A1. Moment of Clarity

2A2. Death Metal

3A3. Rainbow Road

4B1. Virial Reality

5B2. Broken Vase

6B3. Time Crystal