Energy Problem Involving Spring Force

  • Thread starter angotta
  • Start date
  • #1
7
0
1. As a 1.7×104 jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 6.0×104 . If the spring stretches 31 to stop the plane, what was the plane's landing speed? (Answer in m/s)



2. Homework Equations
Fsp=k[tex]\Delta[/tex]s where k is the spring constant and [tex]\Delta[/tex]s is the change in position.
Also possibly the Equation for kinetic energy
K=1/2mv2
And also posibly
vf2=v i2+2a[tex]\Delta[/tex]s
where v is velocity and a is acceleration

Also the conservation of energy and momentum equations are possible along with f=ma




The Attempt at a Solution



I found the spring force to be 1860000 N and then I lost where to go exactly. I tried to use F=ma to find acceleration, and then use kinematics (vf2=v i2+2a[tex]\Delta[/tex]s) because v final should be zero, but I got the wrong answer. My incorrect answer was 82m/s.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
4
Maybe consider using the KE and PE of spring?

1/2*m*v2 = 1/2*k*x2

v2 = k*x2/m = 60,000*312/17,000
 

Related Threads on Energy Problem Involving Spring Force

  • Last Post
Replies
1
Views
1K
Replies
3
Views
4K
Replies
1
Views
2K
Replies
2
Views
6K
Replies
5
Views
3K
Replies
2
Views
2K
Replies
2
Views
5K
Replies
6
Views
13K
Replies
3
Views
12K
Top