Calculating Net Force and Speed on a Skier: Ramp Problem Explained

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SUMMARY

The discussion focuses on calculating the net force and speed of a skier descending a slope with a 35-degree angle. The skier's mass is 70 kg, and the coefficient of kinetic friction is 0.15. The net force acting on the skier is calculated to be -583.8 N, leading to an acceleration of -8.34 m/s². The length of the ramp, 60 m, is noted but deemed irrelevant for the net force calculation.

PREREQUISITES
  • Understanding of free-body diagrams
  • Knowledge of Newton's second law (F=ma)
  • Familiarity with kinetic friction calculations
  • Basic trigonometry for slope angle calculations
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  • Study the principles of free-body diagrams in physics
  • Learn about calculating acceleration using Newton's second law
  • Explore the effects of friction on motion in physics
  • Investigate the relationship between slope length and final speed in inclined plane problems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion on inclined planes, particularly in the context of real-world applications like skiing.

Oliviam12
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The Question is:

A skier goes down a slope with an angle of 35 degrees relative to the horizontal. Her
mass, including all equipment, is 70 kg. The coefficient of kinetic friction between her
skies and the snow is 0.15.
A. Please draw a free-body diagram of the skier.
B. Calculate the net force acting on the skier.
C. If the slope is 60 m long, what is her speed at the bottom of the slope,
assuming that she started from rest?

Does this like correct? (Especially B and C, seeing as I have never done this type before)

My A is:
http://img88.imageshack.us/img88/1207/freend1.th.png

My B is:
Fg=-mg
Fg=-70(9.81)
Fg=-686.7 N

Fk= \muFg
Fk= .15 (-686)
Fk = -102.9 N

Net Force: -686.7 - -102.9= -583.8 NC.) (The length of the ramp dosn't really matter does it?)
F=MA
-583.8= 70A
-8.34 m/s^2 =A

Thanks!
 
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Why isn't anyone answering did I post it wrong or something?
 
These questions belong in the homework forums, where I have just moved your posts. (check your private messages) Also, please be patient, as we have a lot of homework questions coming in right now.
 

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