Coefficient kinetic friction and kinetic friction

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SUMMARY

The discussion focuses on calculating the kinetic friction and coefficient of kinetic friction for a cube moving down an incline. Given parameters include a distance of 4.0 meters, a time of 2.0 seconds, a mass of 3.0 kg, a coefficient of static friction (Us) of 0.466, and an incline angle of 25 degrees. The acceleration is determined using the formula s=(1/2)at², leading to the equation B_x - T = ma to find the kinetic friction (T) and the coefficient of kinetic friction.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with the concepts of friction, specifically kinetic and static friction
  • Knowledge of basic kinematics, including distance, time, and acceleration calculations
  • Ability to resolve forces along an incline
NEXT STEPS
  • Study the derivation and application of Newton's second law in inclined planes
  • Learn about the differences between static and kinetic friction coefficients
  • Explore kinematic equations in greater depth, particularly s=(1/2)at²
  • Investigate how to resolve forces in two dimensions, especially on inclined surfaces
USEFUL FOR

Students in physics, engineers working with mechanical systems, and anyone studying dynamics and frictional forces in inclined planes will benefit from this discussion.

IssacChook
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Hi guys, i have some questions regarding Frictional Force that came up in a book.
If the cube moves throgh a distance of 4.0m in 2.0s, find the kinetic friction and coefficient kinetic friction between the cube and the plane. ( coefficient of static friction force Us= 0.466, angle of incline= 25) , how to solve it? Thanks
 
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It wouldn't hurt to know the mass of the cube.
 
Sorry, missed out something

the mass of the block is 3.okg
 
You can calculate the acceleration a of the block by using the formula s=(1/2)at^2 where s=4.0m, t=2.0s. Then you should calculate all the forces acting on the x-axis (axis parallel to the incline) which are the kinetic friction T and component of weight on the x-axis B_x. It will be B_x-T=ma where m the mass of block and a the acceleration you calculated on first step. From the last equation you ll be able to find the coefficient and the kinetic friction T.
 

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