The figure(Figure 1) shows a 1.75-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 0.650. Part A Find h such that the block's speed after crossing the rough patch is 3.40 m/s .
At the top of the ramp (1) , the block has gravitational potential energy
then, when it reaches the rough surface (2), it only has kinetic energy:
and also, after the rough surface (3), the block has only kinetic energy:
From 1 to 2, there are only conservative forces actuating on the block, so
Then, from 2 to 3, we have
solving for h,
The figure(Figure 1) shows a 1.75-kg block at rest on a ramp of height h. When...
The figure shows a 1.75-kg block at rest on a ramp of height . When the block is released, it slides without friction to the bottom of the ramp, and then continuesacross a surface that is frictionless except for a rough patch of width 10.0cm that has a coefficient of kinetic friction 0.650Find h such that the block's speed after crossing the rough patch is 3.80m/sAnswer should be in meters.
As shown in the figure below, a 2.25-kg block is released from 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 15.0 cm that has a coefficient of kinetic friction μk = 0.520. Find h such that the block's speed after crossing the rough patch is 4.20 m/s. An object with a...
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