At what distance from a "-5.35^" * 10^ ^ "-6" c charge will the electric potential be - 500v ?

The angular velocity is  

Explanation:

From the question we are told that

    The mass of the block is  

     The of the pulley is  

      The radius of the pulley is  

       The radius  of the cord around the pulley is  

       The distance of the block to the floor is  

From the question we are told that the moment of inertia of the pulley is

Substituting value  

Using the Newtons law we can express the force acting on the vertical axis as

         =>  

Now when the pulley is rotated that  torque generated on the massless cord as a r result of the tension T and the radius of the cord around the pulley is mathematically represented as

     Here is the angular acceleration

           Here is the torque which can be equivalent to

  Substituting this above

Substituting for T

Here is the  linear acceleration which is mathematically represented as

   making the subject

   Substituting values

Now substituting into the equation above to obtain the acceleration

This acceleration is

and v is the linear velocity with is mathematically represented as

Substituting this into the formula acceleration

making t the subject

substituting value

Now the linear velocity is

The angular velocity is  

So

Generally 1 radian is equal to  0.159155 rounds or turns

        So  5.59 radian is  equal to x

Now x is mathematically obtained as

 Also

      60  second =  1 minute

So   1 second  = z      

Now z is mathematically obtained as

            z

Therefore