Two springs and the energy question

  • Thread starter Thread starter coldpay
  • Start date Start date
  • Tags Tags
    Energy Springs
Click For Summary

Homework Help Overview

The problem involves a horizontal slingshot system consisting of two identical springs and a mass. Participants are tasked with determining the total mechanical energy of the system and the speed of the stone at a specific position after being released from a pulled-back state.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of total mechanical energy using the formula mgh plus 0.5kx², but there is uncertainty about the correct application of the spring constant and the configuration of the springs.

Discussion Status

Some participants have provided numerical attempts for the energy and speed but express uncertainty regarding the spring configuration and the interpretation of the stretch in the spring equation. There is an ongoing exploration of how to accurately calculate the energy stored in the springs.

Contextual Notes

Participants are questioning whether the springs are in parallel or series configuration, which affects the calculations. There is also a note that the "X" in the spring equation refers to the amount of stretch rather than the overall length.

coldpay
Messages
5
Reaction score
0

Homework Statement



A horizontal slingshot consists of two light, identical springs (with spring constants of 24.1 N/m) and a light cup that holds a 1.21-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.7 m to the left of the vertical and then released. Determine

a) the system’s total mechanical energy.


b) the speed of the stone at x = 0.




Homework Equations





The Attempt at a Solution

 

Attachments

  • P047figure.png
    P047figure.png
    23.7 KB · Views: 424
Physics news on Phys.org
welcome to pf!

hi coldpay! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
i know the the total mechanical energy is mgh plus 0.5kx^2 but i can't find the answer.

answers
a)3.127 J
b)2.274 m/s
 
coldpay said:

Homework Statement



A horizontal slingshot consists of two light, identical springs (with spring constants of 24.1 N/m) and a light cup that holds a 1.21-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.7 m to the left of the vertical and then released. Determine

a) the system’s total mechanical energy.


b) the speed of the stone at x = 0.




Homework Equations





The Attempt at a Solution


coldpay said:
i know the the total mechanical energy is mgh plus 0.5kx^2 but i can't find the answer.

answers
a)3.127 J
b)2.274 m/s

I don't think the mgh term will change by pulling back the slingshot. Calculate how much energy is stored in the springs as they are pulled from their equilibrium postition back to the position shown. Show us your work please.
 
X=√0.5^2+0.7^2=0.86

0.5kx^2=0.5*48.2*(0.86)^2=17.34 i found this but i am not sure if the spring is parallel or serial(i take it parallel)

This is all i can do.I don't know the rest of the question.
 
coldpay said:
X=√0.5^2+0.7^2=0.86

0.5kx^2=0.5*48.2*(0.86)^2=17.34 i found this but i am not sure if the spring is parallel or serial(i take it parallel)

This is all i can do.I don't know the rest of the question.

In the spring equation, the "X" is meant to be the amount of stretch, not the overall length.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
24
Views
4K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
16
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K