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Solved: When a certain force is applied to an ideal
Chapter 6, Problem 23DQ(choose chapter or problem)
Problem 23DQ
When a certain force is applied to an ideal spring, the spring stretches a distance x from its unstretched length and does work W. If instead twice the force is applied, what distance (in terms of x) does the spring stretch from its unstretched length, and how much work (in terms of W) is required to stretch it this distance?
Questions & Answers
QUESTION:
Problem 23DQ
When a certain force is applied to an ideal spring, the spring stretches a distance x from its unstretched length and does work W. If instead twice the force is applied, what distance (in terms of x) does the spring stretch from its unstretched length, and how much work (in terms of W) is required to stretch it this distance?
ANSWER:
Solution 23DQ
Step 1:
When a force is applied on a spring, the length of the string will increase according to the force applied. The restoring force which is experienced on the spring is proportional to,
F ∝ - x
Where, x - the change in length of the spring
We are putting a negative sign because, the restoring force is acting against the change in length of the spring.
So, the work done would be, W = F x