Work and Energy on a curved track with friction

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SUMMARY

The discussion focuses on calculating the Kinetic Energy (KE) at position B and the work done by friction as a marble moves from point A (0.895 m) to point B (0.665 m) on a curved track. The Work-Energy Theorem is essential for solving this problem, as it states that the work done by non-conservative forces, such as friction, results in a decrease in total mechanical energy. The participant highlights the challenge of having two unknowns: the KE at B and the work done by friction, emphasizing that without the coefficient of friction, the answer may need to include variables.

PREREQUISITES
  • Understanding of the Work-Energy Theorem
  • Knowledge of Kinetic Energy calculations
  • Familiarity with concepts of potential energy and energy conservation
  • Basic principles of friction and its effects on motion
NEXT STEPS
  • Review the Work-Energy Theorem in detail
  • Study Kinetic Energy calculations in varying contexts
  • Learn about the effects of friction on mechanical systems
  • Explore examples involving energy conservation with friction
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of energy conservation and friction in motion scenarios.

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Homework Statement


From point A, the marble rests at the height of 0.895 m. Then, it is released up to point B which has a height of 0.665 m. From point B to point C, the marble falls in a projectile motion.
Calculate the Kinetic Energy on position B and the work done by friction from position A to position B.

The Attempt at a Solution


Well, i know that energy is conserved from Point B to Point C because only conservative forces were acting on the marble. My problem is from position A to position B since I've got 2 unknowns, the KE in B and work done by friction. Since there is friction, The total energy in position A must be GREATER than the total energy in position B. PLEASE, HEEEEEEELP!
 
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Was there no other information given about friction, such as the coefficient of friction? If not, then the answer may need to include variables. See if your book's answer includes variables, which I am decently sure it should. If there are no answers provided, then just bare with me.

You should already be familiar with the Work-Energy Theorem. You already know that friction does negative work as the marble moves, so all you have to do is set up the equation.
 

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