What Does the Scale Read at Its Peak When You Jump from 1.3m?

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Homework Help Overview

The problem involves a bathroom scale and the effects of jumping onto it from a height of 1.3 meters. The scenario includes the compression of the scale's spring and the forces at play during the jump.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between kinetic energy, gravitational potential energy, and elastic potential energy in the context of the scale's reading at the peak of the jump. There are attempts to derive the spring constant and the compression of the scale based on energy conservation principles.

Discussion Status

Some participants have offered guidance on relevant equations and concepts, while others express uncertainty about their attempts. The discussion includes references to previous threads, indicating a shared exploration of the topic without a clear consensus on the solution.

Contextual Notes

Participants are working within the constraints of the problem as posed, including the specific height of the jump and the initial conditions provided by the scale's compression and weight reading.

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Homework Statement



If you stand on a bathroom scale, the spring inside the scale compresses 0.55mm, and it tells you your weight is 760 N.
Now if you jump on the scale from a height of 1.3m, what does the scale read at its peak?

Homework Equations


F=kx
K.E=1/2mv^2


The Attempt at a Solution


I tried a lot of things but i can't get the answer
 
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I tried a lot of things but i can't get the answer
Try more... :smile:

Well one more equation you need to know

Elastic potential energy = Eep = 0.5 kx2

I'm sure you know how to get the spring constant, k
And then find the total energy of the system E = mgh

then substitute the E value you got to the equation
Eep = 0.5 kx2 to find x

(at the "peak", all of the kinetic energy + gravitational potential energy is converted to elastic potential energy)

then since you know the x (compression) at the peak value
substitute to F = kx to get the F value for the scale value it reads

That's what i would do.
I can very well be wrong
 
Very well explained, V_B!
 
Thx LOL ^^
 

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