What is the Length of the Ski Slope?

  • Thread starter Thread starter mcryder16
  • Start date Start date
  • Tags Tags
    Incline Length
Click For Summary
SUMMARY

The discussion focuses on calculating the length of a ski slope given a skier's initial speed of 3.12 m/s on a horizontal surface and a final speed of 17.89 m/s at the bottom of a 16° incline. The solution involves applying the principle of energy conservation to determine the height of the incline, which can then be used to find the length of the slope using trigonometric relationships. The discussion emphasizes the need for the skier's mass to calculate acceleration accurately, although it is not provided in the problem statement.

PREREQUISITES
  • Understanding of energy conservation principles in physics
  • Basic knowledge of trigonometry, specifically right-angled triangles
  • Familiarity with kinematic equations
  • Ability to manipulate equations involving angles and distances
NEXT STEPS
  • Study energy conservation in mechanical systems
  • Learn how to apply trigonometric functions to solve for lengths in right triangles
  • Explore kinematic equations for motion on inclined planes
  • Investigate the effects of mass on acceleration in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in solving problems related to motion on inclined planes and energy conservation principles.

mcryder16
Messages
10
Reaction score
0

Homework Statement



A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?


Homework Equations



Not sure how to start this and formula to be used.

The Attempt at a Solution

 
Physics news on Phys.org
mcryder16 said:

Homework Statement



A skier is gliding along at 3.12 m/s on horizontal, frictionless snow. He suddenly starts down a 16° incline. His speed at the bottom is 17.89 m/s.
What is the length of the incline?

Homework Equations



Not sure how to start this and formula to be used.

The Attempt at a Solution


See:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2
 
Put the start of the ramp at a height z=h and the end of the ramp at z=0. Now you can use energy conservation to determine the height. Knowing the height and angle of a right-angled triangle allows you to calculate the distance.
 
Cyosis said:
Put the start of the ramp...

The OP needs to show some effort in order to help with solving.
 
I think the mass of the skier should be given to find the acceleration and solve.
 

Similar threads

How to calculate the kinematics of an object pushed up an inclinex plane?
  • · Replies 7 ·
Replies
7
Views
1K
How Do You Calculate Skier's Mass and Acceleration with Newton's Second Law?
  • · Replies 2 ·
Replies
2
Views
2K
What is the Correct Calculation for Sam's Speed at the Bottom of the Slope?
  • · Replies 6 ·
Replies
6
Views
6K
Solving for Ski Jumper Takeoff Speed: Using Energy and Motion Equations
  • · Replies 1 ·
Replies
1
Views
2K
Rolling without slipping down an inclined plane
  • · Replies 18 ·
Replies
18
Views
6K
Dynamics Skier on a Slope Problem
  • · Replies 9 ·
Replies
9
Views
5K
Momentum and collisions homework help
  • · Replies 1 ·
Replies
1
Views
2K
Optimized Kinetic Energy of Skier on Incline & Horizontal Surface
  • · Replies 23 ·
Replies
23
Views
3K
Calculating Speed on an Incline Using the Law of Conservation of Energy
  • · Replies 5 ·
Replies
5
Views
2K
Solving a Ski Slope: Length & Time for Descent
  • · Replies 3 ·
Replies
3
Views
6K