Calculating Work Done by Spring at Various Positions

In summary, the conversation discusses a problem involving a block being released from a specific point and the work done by a spring on the block as it moves to different points. The solution involves obtaining the spring constant and there is some confusion about the wording of the problem.
  • #1
tebes
39
0

Homework Statement


The scale is set by Fs = 200 N. We release the block at x = 14.0 cm. How much work does the spring do on the block when the block moves from xi =+8.0 cm to (a)x=+7.0 cm, (b)x=-7.0 cm, (c)x=-8.0 cm, and (d)x=-11.0 cm?
xi= initial point
x= final point

Homework Equations





The Attempt at a Solution


I'm required to obtain K first before proceeding to the next step.
Fs= -kd
k= - Fs/d
= 200/0.14
= 1428.57 N/m

K= spring constant
d=distance
But the answer is wrong. May I know the reason ? Thank you.
 
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  • #2
The wording of the problem is unclear. If it means that when the spring is stretched 14 cm, the force in the spring is 200 N, then your answer is correct. But what is really meant by "the scale is set by Fs = 200 N"?
 
  • #3
PhanthomJay said:
The wording of the problem is unclear. If it means that when the spring is stretched 14 cm, the force in the spring is 200 N, then your answer is correct. But what is really meant by "the scale is set by Fs = 200 N"?
Thank you very much. I solved this question already. Love you.
 

FAQ: Calculating Work Done by Spring at Various Positions

What is the spring constant?

The spring constant, also known as the force constant, is a measure of the stiffness of a spring. It is represented by the letter k and is measured in units of force per unit distance, typically Newtons per meter (N/m) in the metric system.

How is the spring constant calculated?

The spring constant can be calculated by dividing the force applied to the spring by the resulting displacement. This can be represented by the equation k = F/x, where F is the force applied and x is the displacement of the spring.

What are the units of the spring constant?

The units of the spring constant are typically Newtons per meter (N/m) in the metric system. However, in some cases, other units such as pounds per inch (lb/in) may be used.

How does the spring constant affect the behavior of a spring?

The spring constant determines how much force is required to stretch or compress a spring by a certain distance. A higher spring constant means the spring is stiffer and will require more force to stretch or compress, while a lower spring constant means the spring is more flexible and will require less force.

How can the spring constant be determined experimentally?

The spring constant can be determined experimentally by using a known force and measuring the resulting displacement of the spring. This process can be repeated with different forces and displacements to obtain multiple data points, which can then be used to calculate the spring constant using the equation k = F/x.

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