Confusing forces, and friction problem

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SUMMARY

The problem involves a block of mass m on a 30-degree inclined plane, starting from a height of 2.5 meters and sliding down a distance of 5 meters with a coefficient of friction of 0.4. The solution requires applying the principles of conservation of energy, where the gravitational potential energy is converted into kinetic energy while accounting for the work done against friction. The relevant equations include F=ma for force calculations and Ff=u*Fn for frictional force, which are essential for determining the final velocity of the block.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of gravitational potential energy and kinetic energy
  • Knowledge of frictional forces and coefficients of friction
  • Basic proficiency in algebra for solving equations
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems
  • Learn how to calculate gravitational potential energy and kinetic energy
  • Explore the effects of friction on motion in inclined planes
  • Practice solving problems involving inclined planes and forces
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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 real-world applications.

johswill
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Homework Statement


My friend posed this problem to me about a week ago, and I haven't been able to figure it out, it is: So, we've got a block with mass m on an inclined plane of 30 degrees above the horizontal. It is placed at a height of 2.5 m. The coefficient of friction is 0.4. It slides down 5m. What is the final velocity?


Homework Equations


F=ma, Ff=u*Fn


The Attempt at a Solution


I have been able to get everything right, I'm just not sure how to do if it there is not a time component added into the problem, and my friend said you didn't need time.
 
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Try using conservation of energy. All of the gravitational potential energy goes into kinetic energy and energy in overcoming friction.
 

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