Solving for Ski Jumper Takeoff Speed: Using Energy and Motion Equations

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SUMMARY

The discussion focuses on calculating the takeoff speed of a ski jumper using three distinct methods: the work-energy theorem, the conservation of energy principle, and kinematic equations of motion. The ski jumper starts from rest at the top of a 25-meter track inclined at 45 degrees. The effects of friction and air resistance are considered negligible, allowing for straightforward application of energy principles to derive the takeoff speed at the bottom of the track.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Knowledge of the conservation of energy principle
  • Familiarity with kinematic equations of motion
  • Basic trigonometry for calculating components of motion
NEXT STEPS
  • Review the work-energy theorem and its applications in physics problems
  • Study the conservation of energy principle in mechanical systems
  • Learn about kinematic equations and their use in solving motion problems
  • Explore examples of energy conversion in real-world scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of energy principles in motion.

Confusedbiomedeng

Homework Statement


consider a ski jumper moving down a track to acquire sufficient speed to accomplish the ski jumping task. The length of the track is L=25m and the track makes an angle of 45° with the horizontal
if the skier starts at the top of the track with zero initial speed , determine the take off speed of the skier at the bottom of the track using
i) the work-energy theorem
ii) the conservation of energy principle
iii) the equation of motion along with kinematic relationships
assume that the effects of friction and air resistance are negligible

i have no idea how to even start this problem so any help would be greatly appreciated
 
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Confusedbiomedeng said:
i have no idea how to even start this problem
Well, you could list a few relevant equations -- as is asked by one of the template parts you accidentally :rolleyes: erased. And for us to be allowed to help you, an attempt from your side is required by the PF guidelines (part 3 of the template parts you accidentally :rolleyes: erased)

However, :smile:

what do your notes (or textbook) have to say on the work energy theorem ?
what kind of energy is converted in what kind of energy if you start high up with speed 0 and leave with a lot of speed at the bottom ?
what equation is meant with the equation of motion ?
 

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