Solving Net Force with (g), sin(θ) & μcos(θ)

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SUMMARY

The discussion focuses on calculating the distance an Olympic skier travels down a slope before coming to a halt, using the equation for net force: net force = (g)sin(θ) - μ(g)cos(θ). Given parameters include a speed of 33 m/s, a slope angle of 22°, a coefficient of kinetic friction μ = 0.78, and gravitational acceleration g = 9.8 m/s². Participants emphasize the importance of correctly applying Newton's second law and kinematic equations to determine the skier's displacement down the slope.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions (sine and cosine)
  • Concept of kinetic friction and its coefficient
NEXT STEPS
  • Study the application of Newton's second law in inclined plane problems
  • Learn how to derive displacement using kinematic equations
  • Explore the effects of varying coefficients of friction on motion
  • Practice solving problems involving forces on inclined surfaces
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics and motion on inclined planes.

chezholmes
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Homework Statement
An Olympic skier moving at 33 m/s down a 22◦ slope encounters a region of wet snow of coefficient of kinetic friction μ = 0.78.
The acceleration of gravity is 9.8 m/s2 .
How far down the slope does she travel before coming to a halt?
Answer in units of m.
Relevant Equations
Newton's second law equation
kinematic equations
Ff = μ*Fn
Tried net force = (g)sin(θ)- μ(g)cos(θ)
 
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And your question is?
 
chezholmes said:
Homework Statement: An Olympic skier moving at 33 m/s down a 22◦ slope encounters a region of wet snow of coefficient of kinetic friction μ = 0.78.
The acceleration of gravity is 9.8 m/s2 .
How far down the slope does she travel before coming to a halt?
Answer in units of m.
Homework Equations: Newton's second law equation
kinematic equations
Ff = μ*Fn

Tried net force = (g)sin(θ)- μ(g)cos(θ)
Net force as you have it is actually 'net acceleration'. Well that's fine - select correct equation of motion to solve for displacement down the slope.
 

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