How Efficient Is the Spring in Stopping a Rat on a Ski Slope?

  • Thread starter Thread starter LoveandHate
  • Start date Start date
  • Tags Tags
    Efficiency Spring
LoveandHate
Messages
14
Reaction score
0

Homework Statement


So, I have a 5.0 kg rat that goes down a ski slope, slides along a rough patch, and then smashes into a vertical board with a spring attached. I need to find out the efficiency of the spring with this information:
m=5.0 kg
v (after sliding across rough patch)=108 m/s ; it also says that because of internal friction, the velocity is 50% than above, so it's 54 m/s (after hitting the board and spring)
\Deltax=2.42 m (the magnitude of the spring's compression)


Homework Equations


e=eout/ein(100%)
Possibly Ek=.5mv2 and Eelastic=.5k(\Deltax)2


The Attempt at a Solution


Well, I think that Ein is equal to Ek, as this is the energy required for the spring to compress, but I'm not completely sure of Eout. Is it possibly Eelastic (I know this value from a previous question)? If I use these two though, I get an answer around 400%, which is obviously wrong.
 
Physics news on Phys.org
Are you saying that it hits the spring with a velocity of 104m/s, then exits the spring with a velocity of 54m/s? It might be best to state the problem as exactly worded (both parts).
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 2 ·
Replies
2
Views
990
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 23 ·
Replies
23
Views
5K
Replies
5
Views
4K