Work done by the spring on an object

In summary, the conversation focuses on using formulas to solve a physics problem involving a spring. The question is how to determine the work done by the spring when a downward external force is applied to extend the spring. The formula Fsp = 1/2 kx^2 is mentioned, but it is clarified that this is for potential energy, not force. The conversation suggests using energy to solve the problem and prompts the individual to consider the relationship between work and potential energy.
  • #1
DrHughes
5
0
20) An ideal spring is hung vertically from the ceiling. When a mass 2.0 kg hangs at rest from it, the spring is extended 6.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10cm. While the spring is being extended by the force, the work done by the spring is:

a) – 4.2 J
b) – 3.6 J
c) – 3.4 x 10-5 J
d) 3.6 J
e) 4.2 J

I know formulas like Fsp = 1/2 kx^2 etc .etc.
I still don't know how to put them to use in this context
 
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  • #2
The formula you wrote is for the potential energy of the spring - not the force. This is not a good start. You'll have to make a better start before people can begin to help you.
 
  • #3
If you want you can use energy to solve this question. Do you know how work and the change of potential energy are related?
 
  • #4
DrHughes said:
I know formulas like Fsp = 1/2 kx^2 etc .etc.
I still don't know how to put them to use in this context
There's nothing wrong with using this formula for spring PE, if you know what it means. (Check your text!)

You can also attack the problem directly by considering the definition of work.
 

What is work done by the spring?

Work done by the spring is the amount of energy transferred to an object when the spring is stretched or compressed. It is measured in joules (J).

How is work done by the spring calculated?

The work done by the spring is calculated by multiplying the force applied to the spring by the distance the spring is stretched or compressed. This can be represented by the equation W = F * x, where W is the work done, F is the force, and x is the distance.

What factors affect the work done by the spring?

The work done by the spring is affected by the force applied to the spring, the distance the spring is stretched or compressed, and the stiffness (or spring constant) of the spring. A stiffer spring will require more force to stretch or compress, resulting in more work done.

Can work be done on the spring itself?

Yes, work can be done on the spring itself. When a force is applied to stretch or compress the spring, this force is doing work on the spring. This work is stored as potential energy in the spring and can be released when the spring returns to its original shape.

How is work done by the spring related to the potential energy of the spring?

The work done by the spring is directly related to the potential energy stored in the spring. As the spring is stretched or compressed, potential energy is stored in the spring. The amount of potential energy stored is equal to the work done on the spring.

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