A sledder of mass m is sliding down a snowy hill with initial speed vo. The hill steepness is a small positive angle 0 relative to horizontal. The coefficients of static and kinetic friction between the sledder and snow are u, and µk. The acceleration due to gravity has magnitude g. Neglect air resistance. a. b. C. S Draw a free-body diagram for the sledder. Use coordinates adapted/tilted to the slope, rather than to gravity. Don't forget labels! Remember, tails of vectors must all start at the dot! Think hard about the direction of the force of friction! What is the magnitude of the acceleration |al of the sledder? Express your answer in terms of one or more of these: m, µs, μk, 0, and g. What is the angle 0 that would cause the sledder to be in equilibrium? Express your answer in terms of one or more of these: m, μs, k, 0, and g.

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A sledder of mass m is sliding down a snowy hill
with initial speed vo. The hill steepness is a small
positive angle 0 relative to horizontal. The
coefficients of static and kinetic friction between the
sledder and snow are μ, and μk. The acceleration due
to gravity has magnitude g. Neglect air resistance.
a.
b.
C.
V
Draw a free-body diagram for the
sledder. Use coordinates adapted/tilted to the slope, rather than to gravity. Don't
forget labels! Remember, tails of vectors must all start at the dot! Think hard
about the direction of the force of friction!
What is the magnitude of the acceleration |al of the sledder? Express
your answer in terms of one or more of these: m, μs, Mk, 0, and g.
What is the angle 0 that would cause the sledder to be in equilibrium?
Express your answer in terms of one or more of these: m, μs, k., 0, and g.
Transcribed Image Text:A sledder of mass m is sliding down a snowy hill with initial speed vo. The hill steepness is a small positive angle 0 relative to horizontal. The coefficients of static and kinetic friction between the sledder and snow are μ, and μk. The acceleration due to gravity has magnitude g. Neglect air resistance. a. b. C. V Draw a free-body diagram for the sledder. Use coordinates adapted/tilted to the slope, rather than to gravity. Don't forget labels! Remember, tails of vectors must all start at the dot! Think hard about the direction of the force of friction! What is the magnitude of the acceleration |al of the sledder? Express your answer in terms of one or more of these: m, μs, Mk, 0, and g. What is the angle 0 that would cause the sledder to be in equilibrium? Express your answer in terms of one or more of these: m, μs, k., 0, and g.
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