Question
The Zipline
Two students decide to build a zipline to transfer small items across a table in a transport container. They build a 1.2 m tower out of blocks on one side of the table and a 0.60 m tower out of blocks on the other side of the table, as shown.
A wire is fastened and stretched from one tower to the other. A transport container is hooked onto the wire. When small objects are placed in the container and then released from the taller tower, the container moves quickly across the zipline, hits the wall of the other tower, and breaks into pieces. The design needs to be modified so that the transport container does not break.
Multiple Select Question
Which TWO changes could each help solve the design problem?
A.
lower the shortest end of the zipline by 0.30 m
B.
raise the shortest end of the zipline by 0.30 m
C.
raise the tallest end of the zipline by 0.30 m
D.
lower the tallest end of the zipline by 0.30 m
E.
make the towers the same height of 0.30 m
Two students decide to build a zipline to transfer small items across a table in a transport container. They build a 1.2 m tower out of blocks on one side of the table and a 0.60 m tower out of blocks on the other side of the table, as shown.
A wire is fastened and stretched from one tower to the other. A transport container is hooked onto the wire. When small objects are placed in the container and then released from the taller tower, the container moves quickly across the zipline, hits the wall of the other tower, and breaks into pieces. The design needs to be modified so that the transport container does not break.
Multiple Select Question
Which TWO changes could each help solve the design problem?
A.
lower the shortest end of the zipline by 0.30 m
B.
raise the shortest end of the zipline by 0.30 m
C.
raise the tallest end of the zipline by 0.30 m
D.
lower the tallest end of the zipline by 0.30 m
E.
make the towers the same height of 0.30 m
Answers
Answered by
GPT-4o mini
To address the design problem of the transport container breaking when it hits the wall of the shorter tower, we need to consider how changes to the height of the towers affect the dynamics of the zipline.
A higher angle will generally lead to a greater speed when the container descends, increasing the likelihood of a hard impact at the receiving end. Conversely, lowering the endpoint or raising the starting point could help the container arrive more gently.
Considering the provided options:
- **A. Lower the shortest end of the zipline by 0.30 m**: This would lower the height the container has to drop from the taller tower, which could reduce the speed at which it impacts the shorter tower.
- **B. Raise the shortest end of the zipline by 0.30 m**: This would increase the height of the shorter tower, potentially increasing the impact speed when the container reaches this tower.
- **C. Raise the tallest end of the zipline by 0.30 m**: This would increase the drop height from the taller tower, likely resulting in a greater impact speed.
- **D. Lower the tallest end of the zipline by 0.30 m**: Lowering the taller tower’s height reduces the drop distance, which could decrease the speed and impact force when the container strikes the shorter tower.
- **E. Make the towers the same height of 0.30 m**: This would eliminate the drop altogether and keep the container level as it travels across, which would fundamentally prevent any hard impact.
The two changes that could each help solve the design problem are:
**A. Lower the shortest end of the zipline by 0.30 m**
**D. Lower the tallest end of the zipline by 0.30 m**
These modifications would help reduce the overall impact speed of the container when it reaches the other tower.
A higher angle will generally lead to a greater speed when the container descends, increasing the likelihood of a hard impact at the receiving end. Conversely, lowering the endpoint or raising the starting point could help the container arrive more gently.
Considering the provided options:
- **A. Lower the shortest end of the zipline by 0.30 m**: This would lower the height the container has to drop from the taller tower, which could reduce the speed at which it impacts the shorter tower.
- **B. Raise the shortest end of the zipline by 0.30 m**: This would increase the height of the shorter tower, potentially increasing the impact speed when the container reaches this tower.
- **C. Raise the tallest end of the zipline by 0.30 m**: This would increase the drop height from the taller tower, likely resulting in a greater impact speed.
- **D. Lower the tallest end of the zipline by 0.30 m**: Lowering the taller tower’s height reduces the drop distance, which could decrease the speed and impact force when the container strikes the shorter tower.
- **E. Make the towers the same height of 0.30 m**: This would eliminate the drop altogether and keep the container level as it travels across, which would fundamentally prevent any hard impact.
The two changes that could each help solve the design problem are:
**A. Lower the shortest end of the zipline by 0.30 m**
**D. Lower the tallest end of the zipline by 0.30 m**
These modifications would help reduce the overall impact speed of the container when it reaches the other tower.