What is the Work Required to Stretch a Spring?

In summary, to find the additional work needed to stretch a spring with a spring constant of 29 N/m by 0.14 m from its equilibrium position, you need to take the difference in work, which is equal to 29*(0.35)^2/2 - 29*(0.21)^2/2, and the answer is 1.1368 J. Remember that work is the area under the force and distance curve.
  • #1
blayman5
43
0

Homework Statement


A spring with spring constant of 29 N/m is
stretched 0.21mfromits equilibrium position.
How much work must be done to stretch it
an additional 0.14 m? Answer in units of J.


Homework Equations


W=-kx(x)/2


The Attempt at a Solution


I solved it and got 0.4263 and it was wrong. does it need to be negative?
 
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  • #2
blayman5 said:

Homework Statement


A spring with spring constant of 29 N/m is
stretched 0.21mfromits equilibrium position.
How much work must be done to stretch it
an additional 0.14 m? Answer in units of J.


Homework Equations


W=-kx(x)/2


The Attempt at a Solution


I solved it and got 0.4263 and it was wrong. does it need to be negative?

How did you arrive at that number?
 
  • #3
i did ((29)(0.21)(0.14))/2 =0.4263. does it need to be negative?
 
  • #4
blayman5 said:
i did ((29)(0.21)(0.14))/2 =0.4263. does it need to be negative?

That's not quite right.

Additional work = Difference in work = 29*(.21+14)2/2 - 29*(.21)2/2
 
  • #5
Ok so that means it would equal
29*(.21+14)2/2 - 29*(.21)2/2 =1.1368

Thanks
 
  • #6
blayman5 said:
Ok so that means it would equal
29*(.21+14)2/2 - 29*(.21)2/2 =1.1368

Thanks

That's what I got anyway. What you need to remember is that work is the area under the force and distance curve over the range of the curve.

Cheers
 
  • #7
i will remember thanks
 
  • #8
LowlyPion said:
That's not quite right.

Additional work = Difference in work = 29*(.21+14)2/2 - 29*(.21)2/2

wait...

wait wait... why is it 14 instead of .14?
 
  • #9
dleccord said:
wait...

wait wait... why is it 14 instead of .14?

He got the right answer and the 14 was apparently a typo. Calculate it out and you will see the inner sum needs to sum to .35.
 

FAQ: What is the Work Required to Stretch a Spring?

What is spring force?

Spring force is a force exerted by a stretched or compressed spring. It is a type of elastic force that acts in the opposite direction of the displacement of the spring.

How is spring force calculated?

Spring force is calculated using Hooke's law, which states that the force exerted by a spring is directly proportional to the amount of displacement from its equilibrium position. The equation for spring force is F = -kx, where F is the force, k is the spring constant, and x is the displacement.

What factors affect the strength of spring force?

The strength of spring force is affected by two main factors: the spring constant and the displacement. A higher spring constant or a larger displacement will result in a stronger spring force.

How is spring force used in everyday life?

Spring force is used in a variety of everyday objects, such as door hinges, car suspension systems, and trampolines. It is also used in devices like pedometers and shock absorbers.

What happens to spring force when multiple springs are connected?

When multiple springs are connected in series, the total spring force is equal to the sum of the individual spring forces. When multiple springs are connected in parallel, the total spring force is equal to the average of the individual spring forces.

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