3/17/2023 0 Comments Workdone on a spring![]() The work done to compress a spring with natural length ?30? cm and spring constant ?k=500? from ?30? cm to ?25? cm is ?0.625? J. To calculate the work required to compress the spring from ?30? cm to ?25? cm, we pretend that the spring ends at the origin, which means that compressing it to ?25? cm means we’ve compressed it to ?-5?, because ?25-30=-5?.īut we need to convert the units from cm to m, so the interval becomes ?0? m to ?-0.05? m. The work done to stretch a spring with natural length ?30? cm and spring constant ?k=500? from ?42? cm to ?48? cm is ?4.5? J. Work - constant force and distance diagram - spring force and distance. Stretching it to ?48? cm means we’ve stretched it from the origin to ?18?, because ?48-30=18?.īut we need to convert the units from cm to m, so the interval becomes ?0.12? m to ?0.18? m. When a body is moved as a result of a force being applied to it - work is done. When you are doing work against continuous resistive forces, such as gravity or spring tension, work done equals the change in potential energy of the. ![]() To calculate the work required to stretch the spring from ?42? cm to ?48? cm, we pretend that the spring at its natural length of ?30? cm ends at the origin, which means that stretching it to ?42? cm means we’ve stretched it to ?12?, because ?42-30=12?. With ?k?, we can develop a generic equation for our spring using Hooke’s Law. Remember that we’ll be finding work in terms of Newtons and meters, which is why we converted ?10? cm to ?0.10? m. Since we know that a ?50? N force is required to stretch and hold the spring at a length of ?40? cm, from its natural length of ?30? cm, we’ll set ?F(x)=50? and ?x=0.10? m, which is the difference between the natural length and the stretched length, converted from cm to m. We’ll use Hooke’s Law to find ?F(x)?, but first we need to find ?k?. How much work is done to compress the spring from ?30? cm to ?25? cm? How much work is done to stretch the spring from ?42? cm to ?48? cm? ![]() A ?50? N force is required to stretch and hold the spring at a length of ?40? cm. When you know natural length and the force required to stretch the springĪ spring has a natural length of ?30? cm. ![]()
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