Work done by a swinging spring-like object [not homework]

In summary, the conversation discusses how to compute the work done by a spring-like object, such as a rubber band. The formula for this is -kx^2, where x is the displacement from the unstretched to the stretched state. The definition of work is the displacement multiplied by the force in the same direction, and since the stretching or compressing of a spring is always on the same axis as the spring force, the force can be represented as -k or k.
  • #1
holezch
251
0
This isn't a homework problem, I'm just wondering: if you had a spring like object like a rubber band or just a spring, and attached something to its end and swung it across (like swinging a vine to get across a river), how do you compute the work? is it just -kx^2? where x is the displacement from the spring unstretched to its stretched state?

thanks
 
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  • #2
when you say work what do you mean. Do you meant he energy of the system? Do you mean the work done by gravity?
 
  • #3
oh , I meant the work done by the spring-like object

thanks!
 
  • #4
Yes, the work done by the rubber band alone is -kx^2.
 
  • #5
thanks , I thought so intuitively.. but I need to think about the definition of work. So, work is the displacement multiplied by the force done in the same direction.. and since the stretching or compressing on a spring is always on the same "axis" as the spring force, we can just say -k or k right?
 

1. What is work done by a swinging spring-like object?

Work done by a swinging spring-like object refers to the amount of energy that is transferred or used as the object moves back and forth in a swinging motion. This work is typically measured in joules.

2. How is work calculated for a swinging spring-like object?

The work done by a swinging spring-like object can be calculated using the formula W = 1/2kx^2, where W is the work, k is the spring constant, and x is the displacement of the object from its equilibrium position. This formula is based on Hooke's Law which states that the force exerted by a spring is directly proportional to its displacement.

3. What factors affect the work done by a swinging spring-like object?

The work done by a swinging spring-like object is affected by several factors, including the amplitude of the swing, the mass of the object, the spring constant, and the force of gravity. These factors can impact the amount of energy that is transferred or used by the object during its swinging motion.

4. How does the work done by a swinging spring-like object relate to its potential and kinetic energy?

The work done by a swinging spring-like object is closely related to its potential and kinetic energy. As the object swings back and forth, it converts potential energy into kinetic energy and back again. The work done by the object is equal to the change in its kinetic energy, which is also equal to the difference between its maximum and minimum potential energy.

5. Can the work done by a swinging spring-like object be negative?

Yes, the work done by a swinging spring-like object can be negative. This can occur if the object is moving against the force of gravity or if there is some external force acting on the object in the opposite direction of its motion. In this case, the object will lose energy and the work done will be negative.

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