A block with a mass of 9.32 kg is placed on a ramp. The ramp has an incline of ? = 20.2 degrees from the horizontal. The static coefficient of friction between the block and ramp is μs = 0.255, and the kinetic coefficient of friction between the block and ramp is μk = 0.134. A force, F, is exerted on the block as shown. Note that the force F is parallel with the ramp. What is the smallest value (magnitude) for the force, F, in Newtons that can be exerted on the block to hold the block stationary on the ramp?  What is the largest value (magnitude) for the force, F, in Newtons that can be exerted on the block while still holding the block stationary on the ramp?  What value (magnitude) for the force, F, is needed to move the block up the ramp at a constant speed?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter3: Vectors
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 A block with a mass of 9.32 kg is placed on a ramp. The ramp has an incline of ? = 20.2 degrees from the horizontal. The static coefficient of friction between the block and ramp is μs = 0.255, and the kinetic coefficient of friction between the block and ramp is μk = 0.134. A force, F, is exerted on the block as shown. Note that the force F is parallel with the ramp.

What is the smallest value (magnitude) for the force, F, in Newtons that can be exerted on the block to hold the block stationary on the ramp? 

What is the largest value (magnitude) for the force, F, in Newtons that can be exerted on the block while still holding the block stationary on the ramp? 

What value (magnitude) for the force, F, is needed to move the block up the ramp at a constant speed? 

F
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