Skier traveling uphill with and without friction

Click For Summary
SUMMARY

The discussion focuses on calculating the distance a skier travels uphill when factoring in a coefficient of kinetic friction of 0.11 on a 30-degree slope. The initial speed of the skier is 31.9 m/s, and the forces acting on the skier include friction and gravity. The correct approach involves using the equations of motion and understanding the components of gravitational force acting parallel and perpendicular to the slope. The final calculated distance is approximately 87.13 meters.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with trigonometric functions (sine, cosine)
  • Knowledge of forces acting on inclined planes
  • Basic algebra for solving equations of motion
NEXT STEPS
  • Study the effects of varying coefficients of friction on motion
  • Learn about the dynamics of inclined planes in physics
  • Explore the concept of energy conservation in mechanical systems
  • Investigate the role of acceleration in motion equations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to enhance their understanding of forces on inclined planes.

  • #31
Then the total force decelerating the skier is ... ?
 
Physics news on Phys.org
  • #32
Bystander said:
Then the total force decelerating the skier is ... ?
mg*cos30 + mg*sin30 ??!??
 
  • #33
You forgot the coefficient of friction.
 
  • #34
Bystander said:
You forgot the coefficient of friction.
OHHH!
μ*mg*sin30 + mg*cos30
 
  • #35
Close. Frictional force is the product of coefficient of friction and the normal force. One more time.
 
  • #36
Bystander said:
Close. Frictional force is the product of coefficient of friction and the normal force. One more time.
okay so if Ff = μ*Fn then...
μ*mg*cos30 + mg*sin30
 
  • #37
Correct. And you've done the d = (1/2)at2 game for the other part of the problem once already, so you should be in business. "Windoze" insists it's going to update, so I'll be off for the next half hour.
 
  • #38
Bystander said:
Correct. And you've done the d = (1/2)at2 game for the other part of the problem once already, so you should be in business. "Windoze" insists it's going to update, so I'll be off for the next half hour.
thank you so much! you have no idea how much that helped me
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 9 ·
Replies
9
Views
5K
Replies
7
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
2K
Replies
2
Views
1K
Replies
3
Views
5K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 3 ·
Replies
3
Views
9K