Find the Kinetic Frictional Force on a 9kg Block on an Incline

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SUMMARY

The discussion focuses on calculating the kinetic frictional force acting on a 9 kg wooden block sliding down a 30° inclined plane. The block accelerates uniformly from rest, covering a distance of 5 meters in 2 seconds. The normal force was calculated to be 88.2 N using the formula F = ma, where m is the mass and a is the acceleration due to gravity. To determine the kinetic frictional force, the coefficient of friction must be identified, which is not provided in the initial problem statement.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of kinematic equations for uniformly accelerated motion
  • Familiarity with the concept of normal force on an incline
  • Basic principles of friction, including coefficient of friction
NEXT STEPS
  • Calculate the acceleration of the block using kinematic equations
  • Research how to determine the coefficient of kinetic friction for different materials
  • Explore the relationship between normal force and frictional force on inclined planes
  • Study examples of frictional force calculations in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of objects on inclined planes and the factors affecting frictional forces.

wolves5
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A wooden block of mass m = 9 kg starts from rest on an inclined plane sloped at an angle q from the horizontal. The block is originally located 5m from the bottom of the plane. If the block, undergoing constant acceleration down the ramp, slides to the bottom in t = 2 s, and q = 30°, what is the magnitude of the kinetic frictional force on the block?

For this problem, the kinetic frictional force is = to (coefficient frictional force)(normal force). However, there is no coefficient frictional force in this problem. How do I get that? I calculated the normal force to be 88.2. I did F=ma. F=(9 kg) (9.81 m/s2), and got 88.2 N. How do I find the frictional force?
 
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You have an object under uniform acceleration. Using kinematic equations, you should be able to calculate the magnitude of acceleration from the givens (remember you are given time, distance and initial velocity). After you have the acceleration, you should be able to get a force.
 

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