How Do I Calculate Kinetic Friction and Acceleration in These Physics Problems?

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SUMMARY

The discussion focuses on calculating kinetic friction and acceleration in physics problems involving inclined planes and horizontal motion. The first problem involves determining the coefficient of kinetic friction for a mass sliding down an incline at a speed of 1.95 m/s, stopping after traveling 1.85 m on a level surface. The second problem requires calculating the final speed of a 73.0 kg crate pulled with a force of 188.0 N at an angle of 31.0° after moving 2.90 m, with a frictional force of 114.0 N acting against it. Key equations include F = μN for frictional force and F = ma for acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams
  • Knowledge of kinetic friction and its coefficient
  • Ability to apply trigonometric functions in physics problems
NEXT STEPS
  • Study the derivation and application of the frictional force equation F = μN
  • Learn how to construct and analyze free body diagrams for various scenarios
  • Explore the relationship between force, mass, and acceleration using F = ma
  • Investigate the effects of angle on forces in inclined plane problems
USEFUL FOR

Students studying physics, particularly those tackling mechanics problems involving friction and motion, as well as educators seeking to enhance their teaching methods in these topics.

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Homework Statement



(1)When mass M is at the position shown, it is sliding down the inclined part of a slide at a speed of 1.95 m/s. The mass stops a distance S2 = 1.85 m along the level part of the slide. The distance S1 = 1.25 m and the angle theta = 35.9 degrees. Calculate the coefficient of kinetic friction for the mass on the surface.

(2)A man pulls a crate of mass 73.0 kg across a level floor. He pulls with a force of 188.0 N at an angle of 31.0° above the horizontal. When the crate is moving, the frictional force between the floor and the crate has a magnitude of 114.0 N. If the crate starts from rest, how fast will it be moving after the man has pulled it a distance of 2.90 m?


Homework Equations


(1) I'm not really sure how to do 1 at all, I have looked through my book and notes and can't see any solution to the problem
(2) I used the formula Fcos(o)-Uk(mg-Fsin(o))=ma


The Attempt at a Solution


(2) I used the formula Fcos(o)-Uk(mg-Fsin(o))=ma
 
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I suggest you post this on the physics forum...
 
Start with the free body diagrams. Once you can do that, the equations you need are F=uN (Frictional force) and F=ma. All other so called formulas (in this context) are simple expressions of these two basic equations.
 

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