Question

A 230 g air-track glider is attached to a spring. The glider is pushed in 8.2 cm and released. A student with a stopwatch finds that 13 oscillations take 19.0 s . What is the spring constant? Express your answer using two significant figures.

Answer 1

4.3 N/m

Step-by-step explanation:

m = 230 g = 0.230 kg, x = 8.2 cm

in 13 oscillations, time taken = 19 s

In 1 oscillation, time taken = 19 / 13 = 1.46 s

By the use of formula of time period , Let k be the spring constant.

`T = 2\pi \sqrt{(m)/(k)}`

`1.46 = 2\pi \sqrt{(0.230)/(k)}`

0.054 = 0.230 / k

k = 4.26 N/m

k = 4.3 N/m