Solving for Distance Traveled on a Slope with Friction

  • Thread starter Thread starter BassMaster
  • Start date Start date
  • Tags Tags
    Forces Motion
Click For Summary

Homework Help Overview

The problem involves a skier descending a slope and subsequently coasting up another slope while experiencing friction. The scenario includes parameters such as initial velocity, slope angle, and coefficient of kinetic friction, with the goal of determining the distance traveled up the slope before coming to a stop.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss using conservation of energy to relate kinetic energy, gravitational potential energy, and work done against friction. Others suggest exploring force equations and the role of mass in the calculations.

Discussion Status

There is an ongoing exploration of different approaches to the problem, including energy conservation and force analysis. Some participants express concerns about the lack of mass information, while others argue that mass is not necessary for the calculations as it cancels out in the equations.

Contextual Notes

Participants note the absence of mass in the problem statement and question how this affects their ability to solve the problem. There is also a discussion about the assumptions made regarding the conservation of energy and the applicability of force equations.

BassMaster
Messages
31
Reaction score
0

Homework Statement



A skier skiing downhill reachers the bottom of a hollow with a velocity of 20 m/s, and then coasts up a hill with a 10 degree slope (@). If the coefficient of kinetic friction is 0.10, how far up the slope will she travel before she stops?



Homework Equations



Fg=mg
Ff= uFn
Fslope = (m)(g)(sin @)
Fn = (m)(g)(cos @)
v2^2= v1^2 + 2ad


How would you solve this?
 
Physics news on Phys.org
I would use conservation of energy. The initial kinetic energy of the skier is equal to the sum of the gravitational potential energy she gains going up the hill plus the work done in overcoming the frictional force traveling up the hill. Can you write down an expression for each of these three energies?
 
Dick said:
I would use conservation of energy. The initial kinetic energy of the skier is equal to the sum of the gravitational potential energy she gains going up the hill plus the work done in overcoming the frictional force traveling up the hill. Can you write down an expression for each of these three energies?

This question was written assuming we know nothing about the law of conservation of energy. There must be a way to solve it by using only equations related to forces and motion.
 
Ok. So force acting on the skier parallel to the slope is your Ff+Fslope. That should let you find the acceleration parallel to the slope. Put that into your last equation with a final velocity of zero.
 
The problem is that NO MASS is given. So I can't solve for any of those values.
 
don't need mass as it cancels out. say the slope is 0,

ma=N*mu =mg*mu a=g*mu
 
I'm sorry I didn't quite understand what you wrote there.
 
just that the mass cancels. sum forces=ma=Normal force*frictional coefficient
Normal=-mg so a=-g*friction coeff. this is for a slope of 0, but the masses will all cancel in any event.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
5K
Replies
2
Views
9K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
7
Views
2K
  • · Replies 37 ·
2
Replies
37
Views
7K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K