Finding acceleration of snow boarder

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SUMMARY

The discussion focuses on calculating the acceleration of a snowboarder ascending a 5.5° slope with a coefficient of kinetic friction (μk) of 0.10. Participants emphasize the importance of creating a free body diagram (FBD) to visualize the forces acting on the snowboarder. The correct application of Newton's second law and frictional force calculations are critical for determining the snowboarder's acceleration in meters per second squared (m/s²). The conversation also highlights the necessity of defining a coordinate system to clarify the direction of motion.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of free body diagrams (FBD)
  • Familiarity with frictional force calculations
  • Basic trigonometry for slope angle analysis
NEXT STEPS
  • Study the principles of Newton's second law in detail
  • Learn how to construct and analyze free body diagrams
  • Explore frictional force equations and their applications
  • Investigate the effects of slope angles on motion dynamics
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Students in physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion on inclined planes.

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Consider a snow boarder going up a 5.5° slope. Assume the coefficient of friction for waxed wood on wet snow is μk=0.10 and he is moving in the positive direction.
Calculate the magnitude of the acceleration of the snow boarder in m/s2.
 
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Homework problem?
 
Chandra Prayaga said:
Homework problem?
Practice problem
 
All right. So the procedure is to first draw a diagram showing all the forces on the body, then specifying a coordinate system, which specifies what you mean by "moving in the positive direction." The diagram is called a free body diagram. Once you draw the diagram, we can take the next steps easily.
 
Chandra Prayaga said:
All right. So the procedure is to first draw a diagram showing all the forces on the body, then specifying a coordinate system, which specifies what you mean by "moving in the positive direction." The diagram is called a free body diagram. Once you draw the diagram, we can take the next steps easily.
This is the FBD, but I do not think it's correct.
https://www.facebook.com/photo.php?fbid=832494440189905&set=a.171146579658031.31065.100002880693856&type=3&theater
 

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