A mass attached to a vertical spring causes the spring to stretch and the mass to move downwards. What can you say about the potential energy of the spring Usp and gravitational potential energy of the mass, Ug?

Complete Question

A mass attached to a vertical spring causes the spring to stretch and the mass to move downwards. What can you say about the spring's potential energy Us and the gravitational potential energy Ug of the mass?

A. both Us and Ug decrease

B. Us increases and Ug decreases

C Both Us and Ug increase

D Us decreases and Ug increases

E Us increases and Ug is constant

Option B is the correct Answer

Explanation:

    The Gravitational Potential energy is mathematically represented as  

Where m is the mass , g is the acceleration due to gravity while and h is the height

 And in term of the spring  this energy represents the workdone against gravitational Force

 The Spring potential energy is mathematically represented as

Where k is the spring constant ans  x is the extension in the spring

   And energy represents the work that is being done to stretch the spring

 If the system as state in the question is setup and is being increased then decreases

the area between the graph and the t axis

wavelength divides in half and speed stays the same.