Question

A block of mass 125 g is attached to a spring. When pulled away from equilibrium it oscillates with a frequency of 4.167 Hz.

(a) What is the value of the spring constant for this spring? 85.68 N/m Correct: Your answer is correct.

(b) You have a second block with a mass of 225 g. You want to attach it to a second spring so that it oscillates with the same frequency as the first block. What spring constant should this second spring have? 154 N/m Correct: Your answer is correct.

(c) If you attach the second block to the first spring, with what frequency will it oscillate?

Answer 1

We know that

Where k is spring constant and m is the mass

a.

b. Using the same expression just like above

The only difference is in the mass value which is now m=0.225 kg .

c. In this case second block of mass m=0.225kg is connected to

First spring of spring constant 85.68 N/m.

We will use the same expression for this question also , now only frequency which is unknown.