What Are the Gravitational and Normal Forces on a Skier on a Slope?

Click For Summary

Homework Help Overview

The discussion centers around the forces acting on a skier descending a slope, specifically focusing on the gravitational and normal forces. The problem involves a skier with a specified mass on a slope inclined at a certain angle, with a frictional force also mentioned.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of gravitational force and its interpretation, questioning the phrasing of the problem. There is an emphasis on understanding the relationship between the forces acting on the skier and the slope, including the normal force.

Discussion Status

Some participants have provided guidance on sketching a free-body diagram and have noted the lack of acceleration in the vertical direction, suggesting that the forces are balanced. There is ongoing exploration of the definitions and implications of the forces involved, with no clear consensus on the interpretation of the gravitational force in the context of the problem.

Contextual Notes

Participants express uncertainty about the terminology used in the problem statement, particularly regarding the concept of gravitational force exerted by the skier on the slope. This has led to discussions about the nature of contact forces and their components.

j doe
Messages
37
Reaction score
2

Homework Statement


A 60 kg skier is beginning her descent down a 26 degree slope. The frictional force between the skis and the snow is 4 N
a) What is the gravitational force the skier exerts on the slope?
b) What is the normal force the slope exerts back on the skier?

Homework Equations

The Attempt at a Solution


a) What is the gravitational force the skier exerts on the slope?
60(kg)*9.8(m/s^2)*cos(26) = 528.5(N)

b) What is the normal force the slope exerts back on the skier?
not sure how to do this one
 
Physics news on Phys.org
First, sketch a free-body diagram. Use the slope as the X axis. Since there is no acceleration in the Y axis of this system, you can solve for the normal force.
 
did i do part a correctly?
 
As there is no acceleration in the Y axis, it means the force exerted by the skier on the slope and the one the slope exerts on the skier is the same. It's kind of the definition of the normal force, it is a force exerted by the surface on the object, it is a force of reaction to another one, which here is the gravitational force.
 
j doe said:
a) What is the gravitational force the skier exerts on the slope?
Is that the word-for-word statement of the question? It doesn't make any sense.
The Earth exerts a gravitational force on the skier, and the skier exerts an equal and opposite gravitational force on the Earth; the skier exerts a contact force on the slope, which can be resolved into a combination of forces in different directions, like normal and tangential.
I do not know what "the gravitational force exerted by the skier on the slope" means. Maybe it means the vertical component of the contact force?
 

Similar threads

Replies
7
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
2
Views
2K
Replies
2
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K