What is the period of vibration for a 2.20 kg object on a 320 N/m spring?

In summary, Elastic potential energy is the energy stored in an object when it is stretched or compressed. It can be calculated using the formula E = 1/2kx^2 and is different from gravitational potential energy, which is dependent on the mass and height of an object. Examples of elastic potential energy include stretched rubber bands, compressed springs, and bungee cords. It is used in everyday objects like trampolines and more advanced technologies like shock absorbers in cars. It is also important in sports, such as in a bow and arrow or a tennis racket.
  • #1
kelly242
13
0

Homework Statement



A 2.20 kg object vibrates at the end of a horizontal spring whose force constant is 320 N/m. What is its period of vibration?

Homework Equations


Ep=1/2kx2

The Attempt at a Solution


I don't even know where to start
 
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  • #2
Well, how's the period of vibration related to mass and stiffness? i.e. what's the "formula" for the period? You should look into how the equations of motion for a simple harmonic oscillator are derived.
 

Related to What is the period of vibration for a 2.20 kg object on a 320 N/m spring?

What is elastic potential energy?

Elastic potential energy is the energy stored in an object when it is stretched or compressed. It is a form of potential energy, meaning it has the potential to do work.

How is elastic potential energy calculated?

Elastic potential energy can be calculated using the formula E = 1/2kx^2, where E is the elastic potential energy, k is the spring constant, and x is the displacement from the equilibrium position.

What is the difference between elastic potential energy and gravitational potential energy?

Elastic potential energy is stored in objects that can be stretched or compressed, while gravitational potential energy is stored in objects that are lifted or raised above the ground. Additionally, elastic potential energy is dependent on the spring constant and displacement, while gravitational potential energy is dependent on the mass and height of the object.

What are some examples of elastic potential energy?

Some examples of elastic potential energy include a stretched rubber band, a compressed spring, and a stretched bungee cord. These objects store elastic potential energy when they are stretched or compressed and release it when they return to their original shape.

How is elastic potential energy used in everyday life?

Elastic potential energy is used in many everyday objects, such as trampolines, slingshots, and catapults. It is also used in more advanced technologies, such as shock absorbers in cars and elastic bands in prosthetic limbs. It is also important in sports, such as in the energy stored in a bow and arrow or a tennis racket.

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