What Does a Spring Scale Read at Peak When Jumped On?

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When jumping on a spring scale from a height of 1.2 m, the scale will read a peak value based on the potential energy converted to kinetic energy. The spring constant (k) is calculated as 1.48 x 10^6 N/m, derived from the scale's compression of 0.50 mm at a weight of 740 N. The discussion suggests using the formula for kinetic and potential energy conservation to determine the peak reading. The key equation involves the spring potential energy, expressed as 1/2 kx^2. This approach provides a method to calculate the maximum force exerted on the scale upon impact.
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If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 740 N. Now if you jump on the scale from a height of 1.2 m, what does the scale read at its peak?


I'm guessing you use 1/2kx^2 but otherwise, I'm not sure.
 
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Hi fender5791! Welcome to PF! :smile:

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fender5791 said:
If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 740 N.

ok, so what is the value of k? :smile:

(and yes, you can use 1/2 kx2 later)
 
So would k be (740N)/(.0005m) = 1.48x10^6 N/m?
 
Yup! :biggrin:

Now use KE + PE = constant.​
 
Got it, thanks.
 
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