What is the coefficient of kinetic friction for the incline?

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SUMMARY

The problem involves calculating the coefficient of kinetic friction for a 12 kg block on a 36-degree incline that travels 2.4 meters in 4.2 seconds. To solve this, apply Newton's second law by summing the forces acting on the block in both the perpendicular and parallel directions to the incline. The normal force is calculated using the formula mgcos(delta), where m is the mass and delta is the angle of the incline. The acceleration of the block can be determined from the given distance and time, which will aid in finding the coefficient of kinetic friction.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of forces acting on an inclined plane
  • Ability to calculate acceleration from distance and time
  • Familiarity with the concept of normal force
NEXT STEPS
  • Learn how to derive equations of motion for objects on inclined planes
  • Study the calculation of friction coefficients in physics
  • Explore the use of free-body diagrams to analyze forces
  • Investigate the relationship between acceleration, distance, and time in kinematics
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Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of applying Newton's laws in real-world scenarios.

Momentum09
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Hi, can someone please give me hints as to how to do this problem?

A 12 kg block is released from rest on an 36 degrees inclined plane and moves 2.4m during the next 4.2s. What is the coefficient of kinetic friction for the incline?

I know that the normal force = mgcos(delta), and dividing this value from the Fs would give me the coefficient, but how do I find this value?

Thank you so much!
 
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You need to use Newton's second law. Sum up the forces in each direction (the direction perpendicular to the surface of the incline, and the direction of motion). You will get two equations that will allow you to find the coefficient of kinetic friction. You have been given enough information in the question to find the acceleration of the block down the incline. Have you drawn a diagram and labeled all of the forces present?

By the way, homework questions should be posted in the Homework Forums.
 

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