Before d After An orange block of mass 2.14 kg is on an inclined plane. There is no friction between the block and the plane except in the region shown in red and black in Figure 3 above. The plane is inclined at an angle of 0 = 16.5 degrees above horizontal. For the purposes of this problem, the acceleration of objects in freefall is g = 9.81 m/s². The block begins at rest, leaning against a spring with a spring constant of k = 716 newtons per meter. At the start, the spring has a compressed length of x1 = 0.33 meters. The spring then expands to its equilibrium length of x2 = 0.63 meters, sending the block sliding up the ramp. The block has no friction with the plane except in the single region of length L = 0.8 meters, shown in red and black above. The coefficient of kinetic friction between the block and this region is uK = 0.24. The block slides past this region and continues up the plane. What is the speed of the block, in units of meters per second, when it has slid a distance d = 1.15 meters along the plane from the place where it started? (This is the distance measured from the position when the spring was still compressed.)

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Chapter5: Newton's Law Of Motion
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Figure 3
L
Before
d.
X2
After
An orange block of mass 2.14 kg is on an inclined plane. There is no friction between the block and the plane except in
the region shown in red and black in Figure 3 above. The plane is inclined at an angle of 0 = 16.5 degrees above
horizontal. For the purposes of this problem, the acceleration of objects in freefall is g =
9.81 m/s?.
The block begins at rest, leaning against a spring with a spring constant of k = 716 newtons per meter. At the start, the
spring has a compressed length of x1 = 0.33 meters. The spring then expands to its equilibrium length of x2 = 0.63
meters, sending the block sliding up the ramp.
The block has no friction with the plane except in the single region of length L = 0.8 meters, shown in red and black
above. The coefficient of kinetic friction between the block and this region is uK = 0.24. The block slides past this
region and continues up the plane.
What is the speed of the block, in units of meters per second, when it has slid a distance d = 1.15 meters along the plane
from the place where it started? (This is the distance measured from the position when the spring was still compressed.)
Transcribed Image Text:Figure 3 L Before d. X2 After An orange block of mass 2.14 kg is on an inclined plane. There is no friction between the block and the plane except in the region shown in red and black in Figure 3 above. The plane is inclined at an angle of 0 = 16.5 degrees above horizontal. For the purposes of this problem, the acceleration of objects in freefall is g = 9.81 m/s?. The block begins at rest, leaning against a spring with a spring constant of k = 716 newtons per meter. At the start, the spring has a compressed length of x1 = 0.33 meters. The spring then expands to its equilibrium length of x2 = 0.63 meters, sending the block sliding up the ramp. The block has no friction with the plane except in the single region of length L = 0.8 meters, shown in red and black above. The coefficient of kinetic friction between the block and this region is uK = 0.24. The block slides past this region and continues up the plane. What is the speed of the block, in units of meters per second, when it has slid a distance d = 1.15 meters along the plane from the place where it started? (This is the distance measured from the position when the spring was still compressed.)
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