A 1.50-kg block at rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 10.0 cm that has a coefficient of kinetic friction µk = 0.60. Using conservation of energy, find h such that the block’s speed after crossing the rough patch is 3.50 m/s.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter8: Conservation Of Energy
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A 1.50-kg block at rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 10.0 cm that has a coefficient of kinetic friction µk = 0.60.

Using conservation of energy, find h such that the block’s speed after crossing the rough patch is 3.50 m/s.

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