Question

A 2.30 N object vibrates at the end of a vertical spring. If the frequency of the vibration is 1.00 Hz, what is the spring constant?

This one is giving me trouble.

Answer 1

$$f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}=\frac{1}{2\pi}\sqrt{\frac{gk}{F}}$$

$$1=\frac{1}{2\pi}\sqrt{\frac{9.8k}{2.3}}$$

$$k=9.27\frac{N}{m}$$