d2 d1 As shown in the diagram above, a yellow cart of mass 2.55 kg rolls without friction on an inclined plane. The cart starts with a speed of 3.79 m/s, located a distance d1 = 1.87 meters from the higher end of an ideal spring (which is at its equilibrium length). The plane is inclined at an angle of theta = 0 = 33.3 degrees above horizontal. The ideal spring has a spring constant of 268 newtons per meter. The cart will roll a distance d1 before coming into contact with the spring, and it will continue to compress the spring a distance d2 before instantaneously coming to a stop (when the spring is at its maximum compression) and then moving back up the inclined plane. Assume the only forces acting on the block are normal forces from the plane and the spring, kinetic friction with the surface of the plane, and gravity (with g = 9.81 m/s2). Calculate the distance d2 (in units of meters). 12

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d2
d1
As shown in the diagram above, a yellow cart of mass 2.55 kg rolls
without friction on an inclined plane. The cart starts with a speed of
3.79 m/s, located a distance d1 = 1.87 meters from the higher end of
an ideal spring (which is at its equilibrium length). The plane is inclined
at an angle of theta = 0 = 33.3 degrees above horizontal. The ideal
spring has a spring constant of 268 newtons per meter.
The cart will roll a distance d1 before coming into contact with the
spring, and it will continue to compress the spring a distance d2
before instantaneously coming to a stop (when the spring is at its
maximum compression) and then moving back up the inclined plane.
Assume the only forces acting on the block are normal forces from the
plane and the spring, kinetic friction with the surface of the plane, and
gravity (with g = 9.81 m/s²).
Calculate the distance d2 (in units of meters).
12
Transcribed Image Text:d2 d1 As shown in the diagram above, a yellow cart of mass 2.55 kg rolls without friction on an inclined plane. The cart starts with a speed of 3.79 m/s, located a distance d1 = 1.87 meters from the higher end of an ideal spring (which is at its equilibrium length). The plane is inclined at an angle of theta = 0 = 33.3 degrees above horizontal. The ideal spring has a spring constant of 268 newtons per meter. The cart will roll a distance d1 before coming into contact with the spring, and it will continue to compress the spring a distance d2 before instantaneously coming to a stop (when the spring is at its maximum compression) and then moving back up the inclined plane. Assume the only forces acting on the block are normal forces from the plane and the spring, kinetic friction with the surface of the plane, and gravity (with g = 9.81 m/s²). Calculate the distance d2 (in units of meters). 12
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