Question

A glider on an air track is connected by springs on either end of the track. Both springs have spring constant k, and the glider's mass is M. Find the frequency of oscillations, assuming no damping, if k = 70 N/m, and M = 150 grams.

Answer 1

The frequency of oscillations of the glider connected to springs on an air track is 7.49 Hz.

Step-by-step explanation:

To find the frequency of oscillations of the glider connected to springs on an air track, we can use the formula:

frequency = (1/2π) * √(k/M)

where k is the spring constant (given as 70 N/m) and M is the mass of the glider (given as 150 grams).

First, we need to convert the mass to kilograms by dividing it by 1000:

150 grams = 0.15 kg

Now we can substitute the values into the formula:

frequency = (1/2π) * √(70/0.15) = 7.49 Hz (rounded to two decimal places)