Solution Found!
A 4.1-kg block is attached to a spring with a force
Chapter 8, Problem 4P(choose chapter or problem)
IPA 4.1-kg block is attached to a spring with a force constant of 550 N/m, as shown in Figure 8–17. (a) Find the work done by the spring on the block as the block moves from A to B along
paths 1 and 2. (b) How do your results depend on the mass of the block? Specifically, if you increase the mass, does the work done by the spring increase, decrease, or stay the same? (Assume the system is frictionless.)
Questions & Answers
QUESTION:
IPA 4.1-kg block is attached to a spring with a force constant of 550 N/m, as shown in Figure 8–17. (a) Find the work done by the spring on the block as the block moves from A to B along
paths 1 and 2. (b) How do your results depend on the mass of the block? Specifically, if you increase the mass, does the work done by the spring increase, decrease, or stay the same? (Assume the system is frictionless.)
ANSWER:
Step 1 of 2:-
a)
Here we have to calculate the work done from A to B through path 1.
We know that,
The work done will be,
.
The work done through path 1 is -0.22 J.
Here we have to calculate the work done from A to B through path 2.
We know that, the force is a conservative force and the work done by a conservative force is dependent only on the end points. It does not matter whether we moved through path 1 or 2.
So, the calculation will be same as before.
The work done will be,
.
The work done through path 2 is -0.22 J.