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Problem: The incline is 30 degrees with a kinetic friction coefficient of 0.20. Initially the system is not moving. It is given a push uphill at 1m/s and there is a total distance of 1.5m from initial point to the end of the incline.

a. Minimum coefficient of friction to keep the system from moving initially

b. When the system I set into motion, what is the magnitude.

c. How long will it take the block to reach the end of the incline?

d. What is the acceleration of the block if pushed downhill at 5m/sec?

e. How far would it slide until coming to rest given details from question (d).

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