Increasing the spring constant k of a mass-and-spring system ...

[ishan]

Increasing the spring constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.)
 
  A) The frequency increases.
  B) The frequency decreases.
  C) There is no change in the frequency.
  D) The frequency increases if the ratio k/m is greater than or equal to 1 and decreases if the ratio k/m is less than 1.
  E) The frequency increases if the ratio k/m is less than or equal to 1 and decreases if the ratio k/m is greater than 1.

Question 2

As you know, the Earth has an orbital period of one year at an orbital radius of one AU. If a new minor planet were to be found in a circular orbit with radius 13. AU, what would be its period?
 
  What will be an ideal response?

[gstein359]

Answer to Question 1

A

Answer to Question 2

Remembering Kepler's 3rd law: T2 =k R3 so T = 47. years at R=13. AU.