How Does Jumping from a Height Affect the Reading on a Bathroom Scale?

Click For Summary

Homework Help Overview

The discussion revolves around the physics of jumping onto a bathroom scale and how the scale's reading changes due to the dynamics of the jump. The subject area includes concepts of forces, energy conservation, and spring mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between gravitational potential energy and the energy stored in a spring. There is an exploration of the equations involved, particularly the use of F=kx and mgh, with some questioning the correct application of these concepts.

Discussion Status

The discussion is active, with participants attempting to clarify the relationships between the energies involved in the jump and the spring's compression. Some guidance has been offered regarding the energy conversion process, but there is no explicit consensus on the correct approach yet.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available and the assumptions that can be made about the system.

physicsss
Messages
319
Reaction score
0
If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 805 N. Now if you jump on the scale from a height of 2.0 m, what does the scale read at its peak?

I used F=kx, and solved for k...but I don't know what to do after that...do I set

mgh=kx, where m is 805/9.8 and h is 2.0m?
 
Physics news on Phys.org
physicsss said:
I used F=kx, and solved for k...but I don't know what to do after that...do I set

mgh=kx, where m is 805/9.8 and h is 2.0m?

The idea is correct.
At the point where the spring is compressed the most, all gravitational potential energy has been converted to potential energy in the spring.

However, the energy stored in the spring is not kx.
 
mgh=1/2kx^2?
 
Yes, physicss
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
2K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 13 ·
Replies
13
Views
10K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
20K
Replies
8
Views
6K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K