Question

Each figure below shows a block attached to the end of a spring resting on a frictionless surface. In each figure, the springs are to be stretched to the right by a distance given in the figure and released. The blocks will then proceed to oscillate. The mass is given for each different block, and the force constant is given for each different spring. Rank the figures from greatest to least on the basis of the period of the vibratory motion. That is, rank the figures on the basis of how long each will take to go through one complete cycle. A 0.4 m stretch 5 N/m 1 kg E 0.5 m stretch 1 N/m 1 kg B 0.2 m stretch 5 N/m 2 kg F 0.5 m stretch 4 N/m 4 kg C 0.2 m stretch 6 N/m 3 kg G 0.4 m stretch 10 N/m 2 kg D 0.2 m stretch 4 N/m 5 kg H 0.5 m stretch 1 N/m 5 kg Greatest 1 _ 2 _ 3 _ 4 _ 5 _ 6 _ 7 _ 8 _ Least Or, all of the periods would be the same. ___ Please carefully explain your reasoning. How sure were you of your ranking? (circle one) Basically Guessed Sure Very Sure 1 2 3 4 5 6 7 8 9 10

          Each figure below shows a block attached to the end of a spring resting on a frictionless surface. In each figure, the springs are to be stretched to the right by a distance given in the figure and released. The blocks will then proceed to oscillate. The mass is given for each different block, and the force constant is given for each different spring.

Rank the figures from greatest to least on the basis of the period of the vibratory motion. That is, rank the figures on the basis of how long each will take to go through one complete cycle.

A
0.4 m stretch
5 N/m
1 kg

E
0.5 m stretch
1 N/m
1 kg

B
0.2 m stretch
5 N/m
2 kg

F
0.5 m stretch
4 N/m
4 kg

C
0.2 m stretch
6 N/m
3 kg

G
0.4 m stretch
10 N/m
2 kg

D
0.2 m stretch
4 N/m
5 kg

H
0.5 m stretch
1 N/m
5 kg

Greatest 1 ___ 2 ___ 3 ___ 4 ___ 5 ___ 6 ___ 7 ___ 8 ___ Least
Or, all of the periods would be the same. ___
Please carefully explain your reasoning.

How sure were you of your ranking? (circle one)
Basically Guessed Sure Very Sure
1 2 3 4 5 6 7 8 9 10

Each figure below shows a block attached to the end of a spring resting on a frictionless surface. In each figure, the springs are to be stretched to the right by a distance given in the figure and released. The blocks will then proceed to oscillate. The mass is given for each different block, and the force constant is given for each different spring.

Rank the figures from greatest to least on the basis of the period of the vibratory motion. That is, rank the figures on the basis of how long each will take to go through one complete cycle.

A
0.4 m stretch
5 N/m
1 kg

E
0.5 m stretch
1 N/m
1 kg

B
0.2 m stretch
5 N/m
2 kg

F
0.5 m stretch
4 N/m
4 kg

C
0.2 m stretch
6 N/m
3 kg

G
0.4 m stretch
10 N/m
2 kg

D
0.2 m stretch
4 N/m
5 kg

H
0.5 m stretch
1 N/m
5 kg

Greatest 1 2 3 4 5 6 7 8 Least
Or, all of the periods would be the same.
Please carefully explain your reasoning.

How sure were you of your ranking? (circle one)
Basically Guessed Sure Very Sure
1 2 3 4 5 6 7 8 9 10

Added by Steve A.

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