3. From the platform landing, you travel along a rugged trail to a river. The guide tells you that the river at this point is well behaved, with a velocity of about 16 m/s. While you are loading into a white-water raft, you do some estimation and assess the boat plus load to have a mass of 850 kg. As you begin drifting down the river, you begin counting, finding that it takes about 12 seconds until you are moving at the same pace as the river. You drift along the river for 20 more minutes. You see a landing at the top of a waterfall. You paddle your boat to a stop over the next 3 minutes to reach the pier. Take all the motion as 'uniform' and to the left relative to the viewer.
3. From the platform landing, you travel along a rugged trail to a river. The guide tells you that the river at this point is well behaved, with a velocity of about 16 m/s. While you are loading into a white-water raft, you do some estimation and assess the boat plus load to have a mass of 850 kg. As you begin drifting down the river, you begin counting, finding that it takes about 12 seconds until you are moving at the same pace as the river. You drift along the river for 20 more minutes. You see a landing at the top of a waterfall. You paddle your boat to a stop over the next 3 minutes to reach the pier. Take all the motion as 'uniform' and to the left relative to the viewer.
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Transcribed Image Text:3. From the platform landing, you travel along a rugged trail to a river. The guide tells you that the river at this point is well behaved, with a velocity of about 16 m/s. While you are loading into a white-water raft, you do some estimation and assess the boat plus load to have a mass of 850 kg. As you begin drifting down the river, you begin counting, finding that it takes about 12 seconds until you are moving at the same pace as the river. You drift along the river for 20 more minutes. You see a landing at the top of a waterfall. You paddle your boat to a stop over the next 3 minutes to reach the pier. Take all the motion as ‘uniform’ and to the left relative to the viewer.
a. Draw your free body diagram the moment after you leave the loading dock. Clearly indicate net force.
b. What is the initial force being exerted by the river?
c. Draw your free body diagram the moment after you begin to paddle. Clearly indicate the net force.
d. With what force will you need to paddle to stop at the pier?
Transcribed Image Text:**Zipline Casters and Drag Coefficients**
Zipline casters are steel wheels that roll along a steel cable. The following data blocks and tables provide insights into the drag coefficients of various shapes and the friction coefficients of different materials and conditions.
### Drag Coefficients for Various Shapes
- **Sphere:** 0.47
- **Half-sphere:** 0.42
- **Cone:** 0.50
- **Cube:** 1.05
- **Angled Cube:** 0.80
- **Long Cylinder:** 0.82
- **Short Cylinder:** 1.15
- **Streamlined Body:** 0.04
- **Streamlined Half-body:** 0.09
These coefficients indicate the resistance each shape encounters as it moves through the air or a fluid.
### Friction Coefficients for Materials
- **Steel on steel:** μₛ = 0.74, μₖ = 0.57
- **Aluminum on steel:** μₛ = 0.61, μₖ = 0.47
- **Copper on steel:** μₛ = 0.53, μₖ = 0.36
- **Rubber on concrete (dry):** μₛ = 1.0, μₖ = 0.8
- **Rubber on concrete (wet):** μₛ = 0.3, μₖ = 0.25
- **Wood on wood:** μₛ = 0.25 - 0.5, μₖ = 0.2
- **Glass on glass:** μₛ = 0.94, μₖ = 0.4
- **Teflon on Teflon:** μₛ = 0.04, μₖ = 0.04
- **Waxed wood on wet snow:** μₛ = 0.14, μₖ = 0.1
- **Waxed wood on dry snow:** μₛ = 0.10, μₖ = 0.04
- **Metal on metal (lubricated):** μₛ = 0.15, μₖ = 0.06
- **Ice on ice:** μₛ = 0.1, μₖ = 0.03
- **Synovial
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