2D kinematics - conveyer belt question

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SUMMARY

The problem involves a sand particle moving at a constant speed of 6.0 m/s down a conveyor belt inclined at 15°. The sand enters a pipe located 3.0 m below the end of the conveyor belt. To determine the horizontal distance between the conveyor belt and the pipe, one must calculate the x and y components of the sand's velocity immediately after it leaves the conveyor belt, applying 2D kinematics principles.

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  • Understanding of 2D kinematics
  • Knowledge of vector decomposition
  • Familiarity with trigonometric functions
  • Ability to apply the equations of motion
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  • Study the principles of vector decomposition in physics
  • Learn how to apply the equations of motion in two dimensions
  • Explore the concept of projectile motion
  • Practice solving similar problems involving inclined planes and horizontal distances
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This discussion is beneficial for physics students, educators, and anyone interested in mastering 2D kinematics and problem-solving related to motion on inclined surfaces.

morgand
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Homework Statement


Sand moves without slipping at 6.0m/s down a conveyer belt that is tilted 15°. The sand enters a pipe 3.0m below the end of the conveyer belt. What is the horizontal distance between the conveyer belt and the pipe?


Not sure where to start.
 
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You don't have to worry about any acceleration while the sand is on the conveyor belt because it tells you it moves 6 m/s the whole way down. The kinematics problem really starts the instant the sand leaves the conveyor belt. You can start by finding the x and y components of velocity of the sand right after leaving the conveyor belt.
 

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