In the space station\'s cargo (assume Earthlike gravity), you\'re incoming cargo
ID: 1436601 • Letter: I
Question
In the space station's cargo (assume Earthlike gravity), you're incoming cargo and slow it to a halt using designing a to "catch" a track until they are springs. Freight containers weighing pounds will slide along brought to rest by a combination up to 5000 of two coile springs as Hooke's law and have spr illustrated in the figure. Both springs follow After the first spring constants of 3200 N/m for the longer and the shorter spring. force. If the cargo compresses a distance of 3 m, the second spring acts together with the first to increase the their maximum containers must come to rest 10 meters after first contacting the two-spring system, what is initial speed? Note: Use work and energy calculations, not kinematics, to solve this problem. Look up Hooke's law for springs in parallel" if you're not sure what the two springs pushing at once will do. You can use the figure above as the beginning of your diagram if you want.Explanation / Answer
X1 = total compression of the longer spring = 10 m
K1 = spring constant of the longer spring = 3200 N/m
X2 = total compression of the Shorter spring = 10- 3 = 7 m
K2 = spring constant of the longer spring = 6800 N/m
m = mass = 15000 pound = 6803.88 kg
V = maximum speed
using conservation of energy
(0.5) K1 X12 + (0.5) K2 X22 = (0.5) m V2
K1 X12 + K2 X22 = m V2
3200 (10)2 + 6800 (7)2 = (6803.88) V2
V = 9.8 m/s