What is the Length of the Ski Slope?

In summary, the problem involves a skier gliding at a constant speed on horizontal, frictionless snow, then suddenly going down a 16° incline and reaching a higher speed at the bottom. The task is to determine the length of the incline using energy conservation and knowing the height and angle of a right-angled triangle. It is important for the skier's mass to be given in order to solve the problem.
  • #1
mcryder16
10
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

 
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  • #2
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
 
  • #3
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.
 
  • #4
Cyosis said:
Put the start of the ramp...

The OP needs to show some effort in order to help with solving.
 
  • #5
I think the mass of the skier should be given to find the acceleration and solve.
 

Related to What is the Length of the Ski Slope?

1. What is the definition of length of the incline?

The length of the incline refers to the distance along the slope of a ramp or inclined plane. It is measured from the base of the incline to the highest point.

2. How is the length of the incline related to the angle of inclination?

The length of the incline is directly proportional to the angle of inclination. As the angle of inclination increases, the length of the incline also increases.

3. Does the length of the incline affect the speed of an object rolling down it?

Yes, the length of the incline can affect the speed of an object rolling down it. A longer incline will result in a higher speed, while a shorter incline will result in a slower speed.

4. How is the length of the incline calculated?

The length of the incline can be calculated using the Pythagorean theorem, where the length is equal to the square root of the sum of the square of the height and the square of the base of the incline.

5. Can the length of the incline be changed without affecting the angle of inclination?

Yes, the length of the incline can be changed without affecting the angle of inclination by adjusting the position of the base or the height of the incline.

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