A massless ideal spring projects horizontally from a wall andconnects to a mass

Question

A massless ideal spring projects horizontally from a wall andconnects to a mass (0.1 kg). The mass is oscillating in onedimension, such that it moves 0.3 m from one end of its oscillationto the other. It undergoes 20 complete oscillations in 60 s.

How would the amplitude change if the spring constant wereincreased by a factor of 2?

a. It would increase by a factor of 2.
b. It would decrease by a factor of 2.
c. It would increase by a factor of 4.
d. It would increase by 41%.
e. none of the above.

Explanation / Answer

It would decrease by a factor of 2 let the spring constant is K then we have                   the displacement from the cerntre is x = 0.15 m so the force is F = KX if the spring constant is increased 2K then thedisplacement is X' so     X' = KX / 2K = X/2

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