A ball is placed on the spring and launched vertically, Find k

Click For Summary
SUMMARY

The problem involves a 30-g ball launched vertically from a compressed spring with a stiffness constant, k. The spring is compressed by 150 mm, and the ball reaches an elevation of 14.25 m. The calculated value of k is 36.7 N/m, which is confirmed as correct by forum participants. There is a consensus that the answer provided in the textbook is likely a misprint.

PREREQUISITES
  • Understanding of spring mechanics and Hooke's Law
  • Basic principles of energy conservation in physics
  • Familiarity with unit conversions (grams to kilograms, millimeters to meters)
  • Knowledge of gravitational potential energy calculations
NEXT STEPS
  • Review Hooke's Law and its application in spring systems
  • Study energy conservation principles in vertical motion
  • Practice problems involving spring compression and potential energy
  • Explore common misprints in physics textbooks and how to verify solutions
USEFUL FOR

Students studying mechanics, physics educators, and anyone involved in solving spring-related problems in classical mechanics.

Alexanddros81
Messages
177
Reaction score
4

Homework Statement


14.28 The spring of stiffness k is undeformed in the position shown. The 30-g ball
is placed on the spring and launched vertically by compressing the spring 150mm and
releasing it. If the ball reaches an elevation of 14.25m above A, determine the value of
k.

Fig P14_28.jpg


Homework Equations

The Attempt at a Solution



Pytels_Dynamics113.jpg

[/B]
The solution given is 36.7 N/M. So is it my mistake or the book is wrong?
Can you check my solution?
 

Attachments

  • Fig P14_28.jpg
    Fig P14_28.jpg
    4.5 KB · Views: 627
  • Pytels_Dynamics113.jpg
    Pytels_Dynamics113.jpg
    28.4 KB · Views: 597
Physics news on Phys.org
I believe your solution is correct. I suspect that the answer provided is a misprint.
 
  • Like
Likes   Reactions: CWatters

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
29
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K