Textbook with spring sliding, use work-energy thm to solve

Click For Summary
SUMMARY

The discussion centers on solving a physics problem involving a 2.20 kg textbook and a spring with a force constant of 220 N/m. The textbook compresses the spring by 0.270 m and slides on a tabletop with a coefficient of kinetic friction of 0.30. Using the work-energy theorem, the textbook moves a total distance of 1.2 m from its initial position before coming to rest. The initial calculation of 2.48 m was corrected due to a careless mistake in applying the work-energy principle.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Familiarity with kinetic friction concepts
  • Knowledge of elastic potential energy calculations
  • Basic principles of mechanics involving springs
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn about elastic potential energy calculations in springs
  • Explore the effects of friction on motion
  • Practice solving similar problems involving springs and kinetic friction
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in applying the work-energy theorem to real-world scenarios involving springs and friction.

makeAwish
Messages
128
Reaction score
0
A 2.20kg textbook is forced against a horizontal spring of negligible mass and force constant 220 N/m, compressing the spring a distance of 0.270 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction 0.30. Use the work-energy theorem to find how far the textbook moves from its initial position before coming to rest.


The answer is 1.2m. Can someone help me solve?

Thanks.


My attempt was:


change in KE + change in Elastic potential energy = -friction x distance
0 + (-0.5k(x^2)) = - 0.30(mg)(L)
L = 2.48m
 
Last edited:
Physics news on Phys.org
Oh. I had a careless mistake! Ahh. Okay i know le. Haha Thanks.
 

Similar threads

  • · Replies 58 ·
2
Replies
58
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
9
Views
9K
Replies
7
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 5 ·
Replies
5
Views
9K
Replies
24
Views
4K
Replies
20
Views
3K
Replies
1
Views
1K