Speed of a ball launched from a spring

  • Thread starter cilantrone
  • Start date
  • #1
cilantrone
1
0

Homework Statement


The force required to compress an imperfect horizontal spring an amount x is given by F = 150x + 12x^3, where x is in meters and F in Newtons.
If the spring is compressed 2.5m, what speed will it give to a 3.5kg ball held against it and then released?

Homework Equations


Not sure all these are relevant, but...
F = ma
a = dv/dt
K = mv^2 /2


The Attempt at a Solution



I made many attempts and the computer told me that none were right.

Thanks!
 

Answers and Replies

  • #2
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,624
8

Homework Statement


The force required to compress an imperfect horizontal spring an amount x is given by F = 150x + 12x^3, where x is in meters and F in Newtons.
If the spring is compressed 2.5m, what speed will it give to a 3.5kg ball held against it and then released?

Homework Equations


Not sure all these are relevant, but...
F = ma
a = dv/dt
K = mv^2 /2


The Attempt at a Solution



I made many attempts and the computer told me that none were right.

Thanks!
Welcome to PF cilantrone,

Just looking at the relevant equations that you have listed, I notice that there is a vital one missing, the definition of work.
 

Suggested for: Speed of a ball launched from a spring

Replies
1
Views
322
Replies
17
Views
757
Replies
2
Views
526
Replies
7
Views
604
  • Last Post
Replies
25
Views
414
  • Last Post
Replies
6
Views
497
  • Last Post
Replies
13
Views
433
Top