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Different mass crates are placed on top of springs of uncompressed length L_0 an

ID: 1979379 • Letter: D

Question

Different mass crates are placed on top of springs of uncompressed length L_0 and stiffness k. The crates are released and the springs compress to a length L before bringing the crates back up to their original positions.

Rank the time required for the crates to return to their initial positions from largest to smallest.

1 )
k= 10 n/m
L= 5 cm
L_0= 10 cm

2)
k= 5 n/m
L= 10 cm
L_0= 20 cm

3)
k= 20 n/m
L= 5 cm
L_0= 15 cm

4)
k= 15 n/m
L= 10 cm
L_0= 15 cm

5)
k= 10 n/m
L= 5 cm
L_0= 20 cm

6)
k= 5 n/m
L= 5 cm
L_0= 10 cm

Please explain equation used. Thank you!!

Explanation / Answer

Here is the correct procedure: first: find Smax = L0-L Second: find m=K*Smax/2*9.8 third: find T=2*pi*sqrt(m/k) That will give you a perfect answer for the period :) applying this formula you will get: 5>3=2>6=4=1

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