How Does the Coefficient of Static Friction Affect a Backpack on a Table?

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SUMMARY

The coefficient of static friction between a 52 N backpack and a table can be calculated using the force exerted by a spring with a spring constant of 150 N/m, which stretches by 2.5 cm. The force required to overcome static friction is determined to be 3.75 N. By applying the equation 3.75 N = coefficient of friction * 52 N, the coefficient of static friction can be derived. This analysis confirms the relationship between applied force, weight, and static friction in a horizontal setup.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Hooke's Law and spring constants
  • Knowledge of free body diagrams
  • Basic concepts of friction and normal force
NEXT STEPS
  • Calculate the coefficient of static friction using the derived equation
  • Explore the effects of varying spring constants on static friction
  • Study the implications of different weights on frictional forces
  • Investigate real-world applications of static friction in everyday scenarios
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Students studying physics, engineers working on mechanical systems, and anyone interested in understanding the principles of friction and force dynamics.

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a 52 N backpack is laying on a table with a spring attached to one side of it where force is applied and the spring stretches. The backpack begins to slide when the spring (k= 150 N/m) stretches by 2.50 cm. What is the coefficient of static friction between the backpack and the table?

i set up a freebody diagram, but i guess I'm just confused about the weight given in N. I have only had problems dealing with kg. I set up adding all forces in the x and y direction and got:

-F + fs = ma(x direct)
-Fg + FN = ma(y direct)

FN is normal force, fs is static force

I got the F by using F= -kx and got 3.75N
 
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if the spring stretches 2.5cm =.025m so the force is
150N/m * .025 = 3.75n

now this is the force reqired to just overcome the static friction

so assuming the table is horizontal the reaction force is 52N

now 3.75N= cof of frict * 52N

soooooooooooooooo......
 

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