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An Overhead Garage Door Has Two Springs,one on Each Side 2020

Question 2

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An overhead garage door has two springs,one on each side of the door (see figure) .A force of 2020 pounds is required to stretch each spring 1 foot.Because of a pulley system,the springs stretch only one-half the distance the door travels.The door moves a total of x=18x = 18 feet,and the springs are at their natural length when the door is open.Find the combined lifting force applied to the door by the springs when the door is closed.​  An overhead garage door has two springs,one on each side of the door (see figure) .A force of  20  pounds is required to stretch each spring 1 foot.Because of a pulley system,the springs stretch only one-half the distance the door travels.The door moves a total of  x = 18  feet,and the springs are at their natural length when the door is open.Find the combined lifting force applied to the door by the springs when the door is closed.​   ​ A)   \text { Combined lifting force } = 2 F = 356 \mathrm { lb }  B)   \text { Combined lifting force } = 2 F = 360 \mathrm { lb }  C)   \text { Combined lifting force } = 2 F = 362 \mathrm { lb }  D)   \text { Combined lifting force } = 2 F = 358 \mathrm { lb }  E)   \text { Combined lifting force } = 2 F = 364 \mathrm { lb }


A)  Combined lifting force =2F=356lb\text { Combined lifting force } = 2 F = 356 \mathrm { lb }
B)  Combined lifting force =2F=360lb\text { Combined lifting force } = 2 F = 360 \mathrm { lb }
C)  Combined lifting force =2F=362lb\text { Combined lifting force } = 2 F = 362 \mathrm { lb }
D)  Combined lifting force =2F=358lb\text { Combined lifting force } = 2 F = 358 \mathrm { lb }
E)  Combined lifting force =2F=364lb\text { Combined lifting force } = 2 F = 364 \mathrm { lb }

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