Friction Question: Finding Time and Distance with Kinetic Coefficients

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SUMMARY

The discussion focuses on a physics problem involving two blocks, where a 2.20 kg block is set in motion on top of a 6.90 kg block with a coefficient of kinetic friction of 0.310. A horizontal force of 19.20 N is applied, and the distance traveled by the smaller block is 3.60 m. The correct time for the smaller block to reach the edge of the larger block is 1.24 seconds, and the distance the larger block moves is 0.740 m. The initial calculations provided by participants were incorrect, highlighting the importance of applying the correct equations of motion and friction.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of kinetic friction and its calculation using coefficients
  • Ability to apply kinematic equations to solve for time and distance
  • Familiarity with free-body diagrams to analyze forces acting on objects
NEXT STEPS
  • Review the principles of Newton's second law (F = ma) in detail
  • Study the calculations for kinetic friction, specifically Ffriction = (mu)Fn
  • Learn how to derive time and distance using kinematic equations
  • Practice solving similar problems involving multiple blocks and friction
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion involving frictional forces.

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Homework Statement



A block of mass m = 2.20 kg rests on the left edge of a block of larger mass M = 6.90 kg. The coefficient of kinetic friction between the two blocks is 0.310, and the surface on which the 6.90 kg block rests is frictionless. A constant horizontal force of magnitude F = 19.20 N is applied to the 2.20 kg block, setting it in motion as shown in the figure, part (a) . If the distance L that the leading edge of the smaller block travels on the larger block is 3.60 m, how long will it take before this block reaches the right side of the 6.90 kg block, as shown in the figure, part (b)? Use g=9.81 m/s2 as usual.

<img src ="http://capa.mcgill.ca/res/mcgill/dcmcgill/oldproblems/mcgilllib/Kilfoil/graphics/p5_65.jpg">

How far does the 6.90 kg block move in the process?




Homework Equations



Ffriction = (mu)Fn
F = ma



The Attempt at a Solution




I got 1.13s, but it says it's wrong

second one..well i need first solution to solve..

I got .548 m with 1.13s...
 
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Oops, I got the answer..kk FYI answers were 1.24 s and .740 m.
 
Can you show step by step of how you did the question?:smile:
 

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