You give a crate of mass m = 1.00 kg an initial speed of vi = 4.00 m/s up an incline of θ = 17°. The crate then slides along the incline, reaches a spring of spring constant k = 92 N/m , and compresses the spring by Δs = 15.0 cm before stopping. a) what is the distance d, in meters, along the incline that the crate slides, assuming there is no friction? b)What distance ds, in meters, along the incline had the crate moved when it just touched the spring?  c)If there were friction between the crate and incline, what coefficient of kinetic friction would stop the crate after it travels ds (just before it compresses the spring)?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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You give a crate of mass m = 1.00 kg an initial speed of vi = 4.00 m/s up an incline of θ = 17°. The crate then slides along the incline, reaches a spring of spring constant k = 92 N/m , and compresses the spring by Δs = 15.0 cm before stopping.

a) what is the distance d, in meters, along the incline that the crate slides, assuming there is no friction?

b)What distance ds, in meters, along the incline had the crate moved when it just touched the spring? 

c)If there were friction between the crate and incline, what coefficient of kinetic friction would stop the crate after it travels ds (just before it compresses the spring)? 

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