Question

Problem 3

Answer 1

Given information

Given:

An object of mass M oscillates at the end of the spring. To double the period, replace the object with one of mass:

Formula used:

The time period of an object attached to the one end of the spring and which undergoes simple harmonic motion is given by,

 

Where, is the mass of the object and is the spring constant.

Step-by-step explanation

Step 1.

It's as though the whole thing is a loaded spring. A loaded spring's period is determined as follows:

As a result, since is constant,

 

 

where  denotes a constant

 

 

When you split two times a period of time, you get