Help with Newtons laws and friction

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SUMMARY

The discussion centers on solving a physics problem involving a girl skiing down a 35-degree inclined hill with a length of 120 meters and a coefficient of friction of 0.12. Key equations include ΣF = MA and the use of trigonometric functions to resolve forces. The acceleration can be calculated by considering both gravitational and frictional forces acting on the skier. The final solution requires determining the acceleration, time taken to travel the distance, and utilizing Free Body Diagrams (FBD) to visualize the forces involved.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of Free Body Diagrams (FBD)
  • Familiarity with trigonometric functions (sine and cosine)
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate acceleration using ΣF = MA with friction included
  • Determine time taken using kinematic equations
  • Explore the impact of different coefficients of friction on acceleration
  • Review additional examples of inclined plane problems in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators looking for examples of applying Newton's laws in real-world scenarios.

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Homework Statement


a girl is skiing down a 35 degree inclined hill that is 120 meters long. She starts from rest and the snow has a coefficient of friction of .12.
A. Draw an FBD
B what is her acceleration
c. How much time dows it take her to travel the 120 meters


Homework Equations


I am unsure on how to set up the question solution. I think it's CAE's that are used as well, but i am completely unsure.


The Attempt at a Solution


ΣF= MA
ΣF=9.8(m)
vi= 0m/s
ΛD=120 m
vf = ?
t=?
a=?
120cos35= 98.29?
120sin35= 68.82?

If anyone could please help i would really appreciate it. If i can figure out how to set this problem up and solve it, i will be able to figure the other problems out. Thank you so much!
I don't think there's enough to solve it using cae's can i use the sin and cosine functions with the 35 degrees??
 
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You have to take her direction of motion into consideration. If you've drawn a FBD you see that there's a difference in the direction of the forces that have an effect on her acceleration. If you can take this into consideration?
 

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