Question

As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. rough patch 15.0 cm 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 ?k = 0.570. Find h (in m) such that the block's speed after crossing the rough patch is 4.20 m/s. Try dividing the problem into two parts. For the first part, consider the region where only conservative forces do work on the block and for the second part, consider the region where only nonconservative forces do work on the block. Using conservation of energy, can you obtain an expression for the speed of the block at the bottom of the ramp and before it encounters the rough spot? Can you write an expression for the amount of energy lost by the block as it slides across the rough spot? How does the amount of energy lost by the block as it slides across the rough spot compare to its change in kinetic energy?

          As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h.

rough patch
15.0 cm

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 ?k = 0.570. Find h (in m) such that the block's speed after crossing the rough patch is 4.20 m/s.

Try dividing the problem into two parts. For the first part, consider the region where only conservative forces do work on the block and for the second part, consider the region where only nonconservative forces do work on the block. Using conservation of energy, can you obtain an expression for the speed of the block at the bottom of the ramp and before it encounters the rough spot? Can you write an expression for the amount of energy lost by the block as it slides across the rough spot? How does the amount of energy lost by the block as it slides across the rough spot compare to its change in kinetic energy?

As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h.

rough patch
15.0 cm

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 ?k = 0.570. Find h (in m) such that the block's speed after crossing the rough patch is 4.20 m/s.

Try dividing the problem into two parts. For the first part, consider the region where only conservative forces do work on the block and for the second part, consider the region where only nonconservative forces do work on the block. Using conservation of energy, can you obtain an expression for the speed of the block at the bottom of the ramp and before it encounters the rough spot? Can you write an expression for the amount of energy lost by the block as it slides across the rough spot? How does the amount of energy lost by the block as it slides across the rough spot compare to its change in kinetic energy?

Added by Barbara C.

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