A block rests on a horizontal frictionless table. It is attached to a spring and

Question

A block rests on a horizontal frictionless table. It is attached to a spring and set into motion. Consider what will happen to the frequency or period in each of the following situations.
Increase, Stay the same, Decrease?

If the spring constant is doubled (stiffer spring), the period will _______.
If the mass of the block is cut in half, the period will _______.
If the amplitude of the motion is cut in half, the period will ______.
If the spring constant is cut in half (looser spring), the frequency will _______

Explanation / Answer

frequency f = (1/2pi) sqrt(k/m)

and Time period T   = 2pi ( sqrt(m/K)

so

in ppart A:

if K is Doubled, f also doubles , but T decreases

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if m is reduced to half, T decreases

------------------

stays the same

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if k is reduced to half,

K decreases

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