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# Ski Jumping

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by

## Charles Buerk

on 14 February 2014

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#### Transcript of Ski Jumping

Ski Jumping

What is Ski Jumping?
History
Work and Energy
Sochi K125 In- Run Statistics;
- In-Run: 99.3 meters
- In-Run angle: 35 degrees
- Average final speed: 26.5 m/s
- Coefficient of Friction: ?
The Physics Behind the Flight
Specific relationship between energies acting on the skier at all times
Energies involved in the in-run:
- Gravitational Potential Energy
- Friction
Resulting in Kinetic Energy
Skiers travel down a takeoff ramp and launch themselves as far as possible
Points are awarded for both distance and style
Created in 1809 by Olaf Rye of Norway
The first widely known ski jumping competition was the Husebyrennene in Oslo, Norway
Ski Jumping has been in the Olympics since the first Winter Games in 1924
In 1879 the world record was 20 meters. Today that record has grown to 246.5 meters
Until 1886 Ski Jumping and Cross-Country skiing were a single integrated competition
Newton's Laws
1. An object at rest stays at rest, and an object in motion stays in unless an external force is applied to it.
2. Force=Mass x Acceleration (F=ma)
In this law the force vector and acceleration vector are in the same direction.
3. For every action there is an equal and opposite reaction.
Lift plays a major role in ski jumping to contradict gravity. The way skiers position their skis and bodies will affect how the air flows around them.
In ski jumping the jumpers body and skis push some air down. By Newton's third law there is an equal and opposite reaction in this case in which the air pushes the skier up. Allowing him to travel farther.
Also, according to Bernouli's theory that air pressure drops as air moves faster, the slower air beneath the skier will have more pressure providing more lift.
Ski jumpers use their bodies and skis to create an effect similar to an airplane wing.
Larger skis enable the jumper to fly farther by pushing more air down
Projectile Motion
Start + in - out = now
3 jump sizes:
Normal Hill: 80-100m flight
Large Hill: 120-130m flight
Ski Flying Hill: 185m+ flight
The Jump
Distance Traveled =Velocity(x) x Time
Distance Fallen =[Velocity(y) x Time] + 1/2[Gravity x Time^2]
Without Air Resistance
With Air Resistance
Air Resistance plays a major role in contradicting standard projectile motion.
Angle of 36-38 degrees downhill
Ski Jumping Hills are measured by the distance of the flight rather than the height of the ramp.
Jumpers can reach speeds of up to 60mph after take-off
Charles, Zachary, Nelson, Vicky
Full transcript