Inclined plane problem with friction

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SUMMARY

The inclined plane problem involves a boat descending 54 feet down a 43-degree incline with a coefficient of friction of 0.12. The key to solving this problem lies in applying Newton's second law while treating mass as a variable, which ultimately cancels out in the calculations. The acceleration due to gravity is 9.8 m/s², and using trigonometric functions such as tangent helps in determining the components of the forces acting on the boat. This approach simplifies the problem and allows for the calculation of acceleration without needing the mass of the boat.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of trigonometric functions, specifically tangent
  • Familiarity with the concept of friction and its coefficient
  • Knowledge of gravitational acceleration (9.8 m/s²)
NEXT STEPS
  • Learn how to apply Newton's second law in problems involving inclined planes
  • Study the effects of friction on motion in detail
  • Explore trigonometric functions and their applications in physics
  • Practice solving problems with variable mass in dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for effective teaching methods in dynamics.

AndrewC
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Homework Statement


During a flume ride the boat plunges 54 feet down a 43 degree incline. Assuming coefficient of friction .12 determine the acceleration of the boat.[/B]

Homework Equations


I'm really not sure, no mass is given or force. All of the equation I know involve mass or force.

The Attempt at a Solution


Im not even sure how to find horizontal or vertical components without mass. Acceleration due to gravity is 9.8 m/s^2. Used tangent to find the sides of the triangle. So I'm stuck, no idea where to even start. Really appreciate any suggestions.
 
Physics news on Phys.org
Apply your usual formulas with mass included, leaving the mass as a variable. You should find that it cancels out along the way (so you didn't really need it after all).
 

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