Question

A spring is hanging from the ceiling. Attaching a 410 g physics book to the spring causes it to stretch 26 cm in order to come to equilibrium.

A. What is the spring constant?

B. From equilibrium, the book is pulled down 10 cm and released. What is the period of oscillation?

C. What is the book's maximum speed?

So I keep getting 1.2 Hz for B and it's wrong. I've checked several times and keep getting the same answer. If it helps I got 15 N/m for part A

Answer 1

B) T = 2 sqrt (m/k)

where k is spring constant

T = 2 sqrt (0.410 / 15.4538)

Note that

k = mg / x = 0.410 * 9.8 / 0.26 = 15.45

T = 1.0234 sec

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C) maximum speed

v = Aw

v = sqrt (k/m) * A

where A = 0.1 m ( the amount with which it was pulled)

so,

v = 0.6139 m/s