Inclined plane problem without mass or coefficient of friction given

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SUMMARY

The inclined plane problem involving a Yukon Hammerhead sled can be approached using Newton's second law and energy conservation principles, despite the absence of mass or friction coefficients. The net force acting on the sled is parallel to the incline, allowing for the calculation of acceleration without needing the specific mass value. Utilizing kinematic equations that do not involve time can also yield valid results. This discussion emphasizes the importance of understanding the underlying physics concepts rather than relying solely on numerical values.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with free body diagrams
  • Knowledge of energy conservation principles
  • Basic kinematic equations
NEXT STEPS
  • Explore energy conservation methods in physics problems
  • Learn about kinematic equations that exclude time variables
  • Study advanced applications of free body diagrams in dynamics
  • Investigate the implications of frictionless surfaces in mechanics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for effective problem-solving strategies in inclined plane scenarios.

ineedhelpthanks
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Homework Statement
A Yukon Hammerhead sled is at the top of an icy hill. The hill was conveniently measured by a surveyor who determined it to have an angle of 18° with the horizontal. Height of the hill is 25 m. What is the speed of the sled as it reaches the bottom of the hill?
Relevant Equations
I know I need to use kinematic equations to help find the speed.
I need to find fg to find the fnetx and fnety, but I’m confused how to approach this.
Confused how to approach problem after making a free body diagram and finding the length of the inclined plane
 
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So you made a free body diagram? Good! Realize that the net force will be parallel to the incline -- find that force, then use Newton's 2nd law to find the acceleration.
 
ineedhelpthanks said:
Homework Statement:: A Yukon Hammerhead sled is at the top of an icy hill.
I wonder what it means by "icy"?
 
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PeroK said:
I wonder what it means by "icy"?
Yeah, I think it’s regarding the friction. I think for the problem the friction is neglected
 
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Doc Al said:
So you made a free body diagram? Good! Realize that the net force will be parallel to the incline -- find that force, then use Newton's 2nd law to find the acceleration.
Okay, I’m not sure how f=ma would work without the mass though
 
ineedhelpthanks said:
Okay, I’m not sure how f=ma would work without the mass though
Just call the mass "m" and see what happens. You might not need it to find the acceleration. (The expression for force will also involve the mass.)
 
Were you told to use kinematics to solve this? Energy conservation is easier.
 
hutchphd said:
Energy conservation is easier.
And you don't even need the angle!
 
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hutchphd said:
Were you told to use kinematics to solve this? Energy conservation is easier.
The right kinematic equation (the one that does not involve ##t##) works just as well.
 

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