4.0k views
4 votes
If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work is needed to stretch the same spring from its natural length to 3 in? Hint: 1 ft = 12 in

User FlogFR
by
6.5k points

1 Answer

7 votes

Answer:
W=(3)/(4) ft-lb

Step-by-step explanation:

Given

Work required to stretch 1 ft is 12 ft-lb

and we have to find work required to stretch 3 in.

i.e.
(1)/(4) ft


12=(1)/(2)K\left ( 1\right )^2 ------(1)


W=(1)/(2)k\left ( (1)/(4)\right )^2-----(2)

divide (1)&(2)


(12)/(W)=\left ( (4)/(1)\right )^2


W=(12)/(4* 4)


W=(3)/(4) ft-lb

User Abdul Rasheed
by
7.5k points