Skiier force down a slope

  • #1
Robertoalva
140
0
1. A skier of mass 51.4 kg comes down a slope of constant angle 26◦ with the horizontal. What force normal to the slope is exerted by the skis (neglect friction)? The acceleration of gravity is 9.8 m/s^2.



Homework Equations



F=ma

The Attempt at a Solution



my intuitions tell me to do this:

F=m*g*cos26

am i wrong?
 

Answers and Replies

  • #2
Robertoalva
140
0
i already did this!
 
  • #3
PeterO
Homework Helper
2,436
62
1. A skier of mass 51.4 kg comes down a slope of constant angle 26◦ with the horizontal. What force normal to the slope is exerted by the skis (neglect friction)? The acceleration of gravity is 9.8 m/s^2.



Homework Equations



F=ma

The Attempt at a Solution



my intuitions tell me to do this:

F=m*g*cos26

am i wrong?

A hint on how to think:

The answer is either m*g*cos26 or m*g*sin26

Suppose the slope was ≈ 0 degrees; one of m*g*cos0 or m*g*sin0 is zero.

If the slope was ≈ 0 degrees, would the normal force be ≈ 0 ?

That shows which one is NOT the answer.
 

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