Solving Friction Problems - Homework Statement

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SUMMARY

This discussion focuses on solving friction problems in physics, specifically involving free body diagrams and Newton's laws. Key scenarios include a child on a frictionless hill, a box being pulled up an incline, and a car rounding a corner. The problems require calculating acceleration, tension, and coefficients of kinetic friction (μk) based on given parameters such as mass, angle, and velocity. Participants emphasize the importance of clear free body diagrams and systematic application of Newton's laws to derive solutions.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Ability to construct free body diagrams
  • Familiarity with concepts of friction, including coefficients of kinetic friction (μk)
  • Basic knowledge of trigonometry for resolving forces at angles
NEXT STEPS
  • Study the process of drawing free body diagrams for various physical scenarios
  • Learn how to apply Newton's second law to calculate acceleration in different contexts
  • Research the effects of mass changes on acceleration in frictional and non-frictional systems
  • Explore the relationship between tension and acceleration in systems involving inclined planes
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of forces and motion in real-world applications.

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Homework Statement


A child rides on a toboggan down a frictionless hill, at 31.0o with respect to the horizontal. The combined mass is 75kg. They are one system.
a) Clear Free Body Diagram
b) Find Acceleration
c) If the mass increases does the acceleration increase, decrease, or stay the same?
3) There is a 35kg box being pulled up an incline of 30o at a velocity of 6.7m/s with a tension of 350N. The μk = .27.
a) Clear Free Body Diagram
b) Find Acceleration
4) There is a 60kg box going down an incline of 35o with an acceleration of 4.00m/s2 but it is being pulled on by a tension of 400N.
a) Clear Free Body Diagram
b) Find μk
5) There is a 1110kg car rounding a corner with a radius of 30m. The μs = .45.
a) Clear Free Body Diagram
b) Find Velocity.
6) There is a 1250 kg car rounds a banked road of 60o with a 40m radius at a velocity of 6m/s.
a) Clear Free Body Diargram
b) Calculate FN



Homework Equations





The Attempt at a Solution



im not sure how to approach these type of problems. the free body diagrams arent that bad for me but still poses a bit of a problem. any help would be appreciated.
 
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Drawing good free body diagrams and then applying Newton's laws are essential in solving these type of problems. Why don't you try the first one and then someone can give you some help.
 
please show us your solution and indicate where exactly you have problem so we can help :) ..
 

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