You are designing a delivery ramp for crates containing exercise equipment. The

Question

You are designing a delivery ramp for crates containing exercise equipment. The 1790-N crates will move at 1.8 m/s at the top of a ramp that slopes downward at 22.0. The ramp exerts a515-N kinetic friction force on each crate, and the maximum static friction force also has this value. Each crate will compress a spring at the bottom of the ramp and will come to rest after traveling a total distance of 5.0 m along the ramp. Once stopped, a crate must not rebound back up the ramp.

Calculate the largest force constant of the spring that will be needed to meet the design criteria.

Explanation / Answer

Balancing forces on thr crate,

mgsin(22) + F - k*5 = 0

1790sin(22) + 515 = 5*k

k = 237.11 N/m

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