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AP® Physics C: Mechanics

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Moderate

Mass on a Spring: Calculating Periods with Different Masses

APPHMC-KWAZY8

A student places a 1 kg block onto a frictionless table and attaches a spring of constant $k$ to it. The mass exhibits simple harmonic motion with a period of 2 s. The student then attaches a block of unknown mass to the same spring, and measures its period to be 3 s.

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What is the unknown block's mass?

A

1.3 kg

B

1.6 kg

C

2.3 kg

D

3.0 kg

E

4.5 kg