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

AI Thread Summary
To solve for the distance an Olympic skier travels down a slope before stopping, the net force equation should be correctly interpreted as net acceleration. The skier's initial speed is 33 m/s, the slope angle is 22°, and the coefficient of kinetic friction is 0.78, with gravity at 9.8 m/s². The correct approach involves applying Newton's second law and kinematic equations to find the displacement. By calculating the net acceleration using the forces acting on the skier, one can determine how far she travels before coming to a halt. The discussion emphasizes the importance of accurately defining net force in the context of motion equations.
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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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