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

AI Thread Summary
The problem involves a 30-g ball launched vertically from a compressed spring with a compression of 150 mm, reaching an elevation of 14.25 m. The calculated spring constant, k, is found to be 36.7 N/m. There is a concern regarding the accuracy of the book's answer, suggesting it may be a misprint. The consensus among participants is that the calculated solution is correct. The discussion emphasizes the importance of verifying textbook answers against independent calculations.
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: 601
  • Pytels_Dynamics113.jpg
    Pytels_Dynamics113.jpg
    28.4 KB · Views: 565
Physics news on Phys.org
I believe your solution is correct. I suspect that the answer provided is a misprint.
 
  • Like
Likes CWatters

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Calculating the spring force constant K
Replies
14
Views
2K
Spring Problem Involving Variables and Constants Only
Replies
3
Views
1K
Kinetic Energy & Momentum of a Ball released from Spring
Replies
6
Views
2K
Catapult spring, Kinetic and Potential energy
Replies
10
Views
3K
A rocket on a spring, related to potential/kinetic energy
Replies
3
Views
2K
Spring Potential Energy: Horizontal Spring Problem
Replies
6
Views
2K
Find the launch speed of a ball in a spring mechanism
Replies
8
Views
4K
Find elastic energy in the compressed spring.
Replies
12
Views
3K
Conservation of Energy: Spring PE: Toy gun on spring
Replies
4
Views
2K
Question about springs and rotational/translational energy
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top