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Question reads:
"If two springs (k=400N/m) are placed parallel to each other, what is the spring constant of the two spring system?
A. 100 N/m
B. 200 N/m
C. 400 N/m
D. 800 N/m
D is correct. Imagine hanging mass m/2 from one of the springs. Now hang a second mass m/2 from the second spring right next to the first. If you were to glue the two masses together, the change in spring length would not be affected. Now you have a two spring system. Write Hooke's law for both equations, solve for delta(x), and substitute. mg/2 = k1*delta(x) and mg = k2*delta(x) => k2 =2k1"
Can someone please provide me with a more in depth explanation of this question. I am confused at the algebra that was done and also do not understand how he got his answer. Moreover, why does delta X not change but the constant does? Thanks in advance!
"If two springs (k=400N/m) are placed parallel to each other, what is the spring constant of the two spring system?
A. 100 N/m
B. 200 N/m
C. 400 N/m
D. 800 N/m
D is correct. Imagine hanging mass m/2 from one of the springs. Now hang a second mass m/2 from the second spring right next to the first. If you were to glue the two masses together, the change in spring length would not be affected. Now you have a two spring system. Write Hooke's law for both equations, solve for delta(x), and substitute. mg/2 = k1*delta(x) and mg = k2*delta(x) => k2 =2k1"
Can someone please provide me with a more in depth explanation of this question. I am confused at the algebra that was done and also do not understand how he got his answer. Moreover, why does delta X not change but the constant does? Thanks in advance!